Вариант 2, страница 81 - гдз по физике 8 класс дидактические материалы Марон, Марон

Физика, 8 класс Дидактические материалы, авторы: Марон Абрам Евсеевич, Марон Евгений Абрамович, издательство Просвещение, Москва, 2022, белого цвета

Авторы: Марон А. Е., Марон Е. А.

Тип: Дидактические материалы

Издательство: Просвещение

Год издания: 2022 - 2026

Уровень обучения: базовый

Цвет обложки: белый

ISBN: 978-5-09-111138-5

Самостоятельные работы. СР-8. Сила тока. Напряжение. Сопротивление. Закон Ома для участка цепи - страница 81.

App\Models\Task {#1024 // resources/views/models/task/default.blade.php
  #connection: "mysql"
  #table: "tasks"
  #primaryKey: "id"
  #keyType: "int"
  +incrementing: true
  #with: []
  #withCount: []
  +preventsLazyLoading: false
  #perPage: 15
  +exists: true
  +wasRecentlyCreated: false
  #escapeWhenCastingToString: false
  #attributes: array:24 [
    "id" => 1470321
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "81"
    "field_page_end" => null
    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy/cp08-2"
    "field_display_title" => "Вариант 2"
    "field_outside_task" => null
    "field_task_type" => Illuminate\Database\Eloquent\Collection {#331
      #items: []
      #escapeWhenCastingToString: false
    }
    "field_metatags_title" => null
    "field_metatags_description" => null
    "field_h1" => null
    "field_description_top" => null
    "field_description_bottom" => null
    "field_match" => null
    "breadcrumbs" => []
    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1029
      #items: []
      #escapeWhenCastingToString: false
    }
    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1026
      #items: array:1 [
        0 => App\Models\Branch {#342
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1469778
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Самостоятельные работы"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1023
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "62"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#333
              #items: array:1 [
                0 => App\Models\Book {#1033
                  #connection: "mysql"
                  #table: "books"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:50 [
                    "id" => 1038
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1030
                      #items: array:1 [
                        0 => App\Models\Term {#1032
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:10 [
                            "id" => 6493
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Физика"
                            "field_abbreviated_name" => null
                            "field_cases" => array:6 [
                              "field_accusative_case" => "физику"
                              "field_creative_case" => "физикой"
                              "field_dative_case" => "физике"
                              "field_genitive_case" => "физики"
                              "field_nominative_case" => "физика"
                              "field_prepositional_case" => "физике"
                            ]
                            "field_foreign_lang_name" => null
                            "field_short_name" => null
                            "field_subject_type" => "technical_subject"
                            "field_translit" => "fizika"
                          ]
                          #original: array:10 [
                            "id" => 6493
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Физика"
                            "field_abbreviated_name" => null
                            "field_cases" => array:6 [
                              "field_accusative_case" => "физику"
                              "field_creative_case" => "физикой"
                              "field_dative_case" => "физике"
                              "field_genitive_case" => "физики"
                              "field_nominative_case" => "физика"
                              "field_prepositional_case" => "физике"
                            ]
                            "field_foreign_lang_name" => null
                            "field_short_name" => null
                            "field_subject_type" => "technical_subject"
                            "field_translit" => "fizika"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1034
                      #items: array:1 [
                        0 => App\Models\Term {#1035
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 5457
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "8"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "восьмой"
                              "field_creative_case" => "восьмым"
                              "field_dative_case" => "восьмому"
                              "field_genitive_case" => "восьмого"
                              "field_nominative_case" => "восьмой"
                              "field_prepositional_case" => "восьмом"
                            ]
                            "field_translit" => "vosmoj"
                          ]
                          #original: array:6 [
                            "id" => 5457
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "8"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "восьмой"
                              "field_creative_case" => "восьмым"
                              "field_dative_case" => "восьмому"
                              "field_genitive_case" => "восьмого"
                              "field_nominative_case" => "восьмой"
                              "field_prepositional_case" => "восьмом"
                            ]
                            "field_translit" => "vosmoj"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1036
                      #items: array:1 [
                        0 => App\Models\Term {#1037
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 5153
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Просвещение"
                            "field_cases" => null
                            "field_translit" => "prosveschenie"
                          ]
                          #original: array:6 [
                            "id" => 5153
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Просвещение"
                            "field_cases" => null
                            "field_translit" => "prosveschenie"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1038
                      #items: array:2 [
                        0 => App\Models\Term {#1039
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:12 [
                            "id" => 5107
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Марон"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Абрам"
                            "field_patronymic" => "Евсеевич"
                            "field_surname_rp" => null
                          ]
                          #original: array:12 [
                            "id" => 5107
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Марон"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Абрам"
                            "field_patronymic" => "Евсеевич"
                            "field_surname_rp" => null
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                        1 => App\Models\Term {#1040
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:12 [
                            "id" => 5108
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Марон"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Евгений"
                            "field_patronymic" => "Абрамович"
                            "field_surname_rp" => null
                          ]
                          #original: array:12 [
                            "id" => 5108
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Марон"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Евгений"
                            "field_patronymic" => "Абрамович"
                            "field_surname_rp" => null
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1041
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1042
                      #items: array:1 [
                        0 => App\Models\Term {#1043
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:10 [
                            "id" => 6510
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Дидактические материалы"
                            "field_book_type_foreign" => null
                            "field_cases" => array:6 [
                              "field_accusative_case" => "дидактические материалы"
                              "field_creative_case" => "дидактическими материалами"
                              "field_dative_case" => "дидактическим материалам"
                              "field_genitive_case" => "дидактических материалов"
                              "field_nominative_case" => "дидактические материалы"
                              "field_prepositional_case" => "дидактических материалах"
                            ]
                            "field_plural_form" => null
                            "field_short_name" => null
                            "field_short_name_foreign" => null
                            "field_translit" => "didakticheskie materialy"
                          ]
                          #original: array:10 [
                            "id" => 6510
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Дидактические материалы"
                            "field_book_type_foreign" => null
                            "field_cases" => array:6 [
                              "field_accusative_case" => "дидактические материалы"
                              "field_creative_case" => "дидактическими материалами"
                              "field_dative_case" => "дидактическим материалам"
                              "field_genitive_case" => "дидактических материалов"
                              "field_nominative_case" => "дидактические материалы"
                              "field_prepositional_case" => "дидактических материалах"
                            ]
                            "field_plural_form" => null
                            "field_short_name" => null
                            "field_short_name_foreign" => null
                            "field_translit" => "didakticheskie materialy"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1044
                      #items: array:1 [
                        0 => App\Models\Term {#1045
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 9
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Россия"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "rossiya"
                          ]
                          #original: array:6 [
                            "id" => 9
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Россия"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "rossiya"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1046
                      #items: array:1 [
                        0 => App\Models\Term {#1047
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 15
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Москва"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "moskva"
                          ]
                          #original: array:6 [
                            "id" => 15
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Москва"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "moskva"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1048
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1049
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1050
                      #items: array:1 [
                        0 => App\Models\Term {#1051
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 38
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "базовый"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "базовый"
                              "field_creative_case" => "базовым"
                              "field_dative_case" => "базовому"
                              "field_genitive_case" => "базового"
                              "field_nominative_case" => "базовый"
                              "field_prepositional_case" => "базовом"
                            ]
                            "field_translit" => "bazovyy"
                          ]
                          #original: array:6 [
                            "id" => 38
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "базовый"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "базовый"
                              "field_creative_case" => "базовым"
                              "field_dative_case" => "базовому"
                              "field_genitive_case" => "базового"
                              "field_nominative_case" => "базовый"
                              "field_prepositional_case" => "базовом"
                            ]
                            "field_translit" => "bazovyy"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1052
                      #items: array:1 [
                        0 => App\Models\Term {#1053
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:10 [
                            "id" => 25
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "ФГОС (новый)"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_color" => "красный"
                            "field_end_year" => "2027"
                            "field_start_year" => "2023"
                            "field_translit" => "fgos"
                            "field_type" => "новый"
                          ]
                          #original: array:10 [
                            "id" => 25
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "ФГОС (новый)"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_color" => "красный"
                            "field_end_year" => "2027"
                            "field_start_year" => "2023"
                            "field_translit" => "fgos"
                            "field_type" => "новый"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_publication_number" => "4"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1054
                      #items: array:1 [
                        0 => App\Models\Term {#1055
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 33
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "стереотипное"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "stereotipnoe"
                          ]
                          #original: array:6 [
                            "id" => 33
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "стереотипное"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "stereotipnoe"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1056
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2022"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "661"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_08/maron-dm/"
                    "field_isbn" => "978-5-09-111138-5"
                    "field_cover" => array:1 [
                      0 => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989"
                        "alt" => ""
                        "width" => "2294"
                        "height" => "3039"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1057
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1058
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1059
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1060
                      #items: array:1 [
                        0 => App\Models\Term {#1061
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 45
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "белый"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "белый"
                              "field_creative_case" => "белым"
                              "field_dative_case" => "белому"
                              "field_genitive_case" => "белого"
                              "field_nominative_case" => "белый"
                              "field_prepositional_case" => "белом"
                            ]
                            "field_translit" => "belyy"
                          ]
                          #original: array:6 [
                            "id" => 45
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "белый"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "белый"
                              "field_creative_case" => "белым"
                              "field_dative_case" => "белому"
                              "field_genitive_case" => "белого"
                              "field_nominative_case" => "белый"
                              "field_prepositional_case" => "белом"
                            ]
                            "field_translit" => "belyy"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [
                      "class" => 379
                      "subject" => 556
                      "class_subject" => 492
                    ]
                  ]
                  #original: array:50 [
                    "id" => 1038
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1030}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1034}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1036}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1038}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1041}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1042}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1044}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1046}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1048}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1049}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1050}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1052}
                    "field_publication_number" => "4"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1054}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1056}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2022"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "661"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_08/maron-dm/"
                    "field_isbn" => "978-5-09-111138-5"
                    "field_cover" => array:1 [
                      0 => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989"
                        "alt" => ""
                        "width" => "2294"
                        "height" => "3039"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1057}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1058}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1059}
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1060}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [
                      "class" => 379
                      "subject" => 556
                      "class_subject" => 492
                    ]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1062
              #items: []
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1469778
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Самостоятельные работы"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1023}
            "field_page_start" => "62"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#333}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1062}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1063
      #items: array:2 [
        0 => App\Models\Branch {#342}
        1 => App\Models\Branch {#1064
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1469786
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "СР-8. Сила тока. Напряжение. Сопротивление. Закон Ома для участка цепи"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1065
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "81"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1066
              #items: array:1 [
                0 => App\Models\Book {#1033}
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1067
              #items: array:1 [
                0 => App\Models\Branch {#1068
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1469778
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Самостоятельные работы"
                    "field_branch_order" => null
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1069
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_page_start" => "62"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1070
                      #items: array:1 [
                        0 => App\Models\Book {#1033}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1071
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                  ]
                  #original: array:24 [
                    "id" => 1469778
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Самостоятельные работы"
                    "field_branch_order" => null
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1069}
                    "field_page_start" => "62"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1070}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1071}
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1469786
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "СР-8. Сила тока. Напряжение. Сопротивление. Закон Ома для участка цепи"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1065}
            "field_page_start" => "81"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1066}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1067}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "content" => Illuminate\Database\Eloquent\Collection {#1072
      #items: array:2 [
        0 => App\Models\Element {#1073
          #connection: "mysql"
          #table: "elements"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:7 [
            "id" => 1760895
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1074
              #items: array:1 [
                0 => App\Models\Edition {#1075
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:21 [
                    "id" => 6406
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1076
                      #items: array:1 [
                        0 => App\Models\Term {#1077
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_content_type" => "free"
                    "field_content_mode" => "text, image"
                    "field_page_content_mode" => "image"
                    "field_content_text_checked" => "0"
                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Автор"
                    "field_moderator" => "stas"
                    "field_edition_type" => "statement"
                    "field_root_dir" => "0-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1078
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1079
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1080
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_content_source" => null
                  ]
                  #original: array:21 [
                    "id" => 6406
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1076}
                    "field_content_type" => "free"
                    "field_content_mode" => "text, image"
                    "field_page_content_mode" => "image"
                    "field_content_text_checked" => "0"
                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Автор"
                    "field_moderator" => "stas"
                    "field_edition_type" => "statement"
                    "field_root_dir" => "0-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1078}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1079}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1080}
                    "field_content_source" => null
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "task" => array:2 [
              "refs" => "1470321"
              "type" => "task"
            ]
            "text" => "<p><strong>Вариант 3</strong></p><p><strong>1.</strong> Определите силу тока в электрической лампе, если через неё за 5 мин проходит электрический заряд 150 Кл.</p><p><strong>2.</strong> Сколько метров никелиновой проволоки площадью поперечного сечения $0,1 \text{ мм}^2$ потребуется для изготовления реостата с сопротивлением $180 \text{ Ом}$?</p><p><strong>3.</strong> На цоколе электрической лампы написано: «$3,5 \text{ В}$; $0,28 \text{ А}$». Найдите сопротивление спирали лампы.</p>"
            "img" => array:1 [
              0 => array:5 [
                "name" => "2-1.jpg"
                "alt" => null
                "width" => "1443"
                "height" => 584
                "path" => "/media/fizika_08/maron-dm/0-cp08/2-1.webp?ts=1760803280"
              ]
            ]
          ]
          #original: array:7 [
            "id" => 1760895
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1074}
            "task" => array:2 [
              "refs" => "1470321"
              "type" => "task"
            ]
            "text" => "<p><strong>Вариант 3</strong></p><p><strong>1.</strong> Определите силу тока в электрической лампе, если через неё за 5 мин проходит электрический заряд 150 Кл.</p><p><strong>2.</strong> Сколько метров никелиновой проволоки площадью поперечного сечения $0,1 \text{ мм}^2$ потребуется для изготовления реостата с сопротивлением $180 \text{ Ом}$?</p><p><strong>3.</strong> На цоколе электрической лампы написано: «$3,5 \text{ В}$; $0,28 \text{ А}$». Найдите сопротивление спирали лампы.</p>"
            "img" => array:1 [
              0 => array:5 [
                "name" => "2-1.jpg"
                "alt" => null
                "width" => "1443"
                "height" => 584
                "path" => "/media/fizika_08/maron-dm/0-cp08/2-1.webp?ts=1760803280"
              ]
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Element {#1081
          #connection: "mysql"
          #table: "elements"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:6 [
            "id" => 1820310
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1082
              #items: array:1 [
                0 => App\Models\Edition {#1083
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:21 [
                    "id" => 6684
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Решение"
                    "field_order" => "2"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1084
                      #items: array:1 [
                        0 => App\Models\Term {#1085
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_content_type" => "free"
                    "field_content_mode" => "text"
                    "field_page_content_mode" => ""
                    "field_content_text_checked" => "0"
                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Gemini 2.5 Pro"
                    "field_moderator" => "tolik"
                    "field_edition_type" => "solution"
                    "field_root_dir" => "1-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1086
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1087
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1088
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_content_source" => null
                  ]
                  #original: array:21 [
                    "id" => 6684
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Решение"
                    "field_order" => "2"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1084}
                    "field_content_type" => "free"
                    "field_content_mode" => "text"
                    "field_page_content_mode" => ""
                    "field_content_text_checked" => "0"
                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Gemini 2.5 Pro"
                    "field_moderator" => "tolik"
                    "field_edition_type" => "solution"
                    "field_root_dir" => "1-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1086}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1087}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1088}
                    "field_content_source" => null
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "task" => array:2 [
              "refs" => "1470321"
              "type" => "task"
            ]
            "text" => "<p><strong>1.</strong> Определите силу тока в электрической лампе, если через неё за 5 мин проходит электрический заряд 150 Кл.</p><p><strong>Дано:</strong></p><p>электрический заряд, $q = 150$ Кл</p><p>время, $t = 5$ мин</p><p><strong>Перевод в систему СИ:</strong></p><p>Время $\text{t}$ необходимо перевести из минут в секунды:</p><p>$t = 5 \text{ мин} = 5 \cdot 60 \text{ с} = 300 \text{ с}$</p><p><strong>Найти:</strong></p><p>силу тока, $\text{I}$</p><p><strong>Решение:</strong></p><p>Сила тока $\text{I}$ — это физическая величина, равная отношению электрического заряда $\text{q}$, прошедшего через поперечное сечение проводника, ко времени его прохождения $\text{t}$.</p><p>Формула для нахождения силы тока:</p><p>$I = \frac{q}{t}$</p><p>Подставим в формулу числовые значения из условия задачи:</p><p>$I = \frac{150 \text{ Кл}}{300 \text{ с}} = 0,5 \text{ А}$</p><p><strong>Ответ:</strong> сила тока в электрической лампе равна 0,5 А.</p><p><strong>2.</strong> Сколько метров никелиновой проволоки площадью поперечного сечения 0,1 мм² потребуется для изготовления реостата с сопротивлением 180 Ом?</p><p><strong>Дано:</strong></p><p>площадь поперечного сечения, $S = 0,1$ мм²</p><p>сопротивление, $R = 180$ Ом</p><p>материал — никелин</p><p><strong>Перевод в систему СИ:</strong></p><p>В данном случае для удобства вычислений можно использовать внесистемные единицы для удельного сопротивления ($\frac{\text{Ом} \cdot \text{мм}^2}{\text{м}}$) и площади сечения (мм²). Удельное сопротивление никелина $\rho = 0,4 \frac{\text{Ом} \cdot \text{мм}^2}{\text{м}}$. Если переводить все величины в СИ, то:</p><p>$S = 0,1 \text{ мм}^2 = 0,1 \cdot (10^{-3} \text{ м})^2 = 0,1 \cdot 10^{-6} \text{ м}^2 = 10^{-7} \text{ м}^2$</p><p>$\rho = 0,4 \frac{\text{Ом} \cdot \text{мм}^2}{\text{м}} = 0,4 \cdot 10^{-6} \text{ Ом} \cdot \text{м}$</p><p><strong>Найти:</strong></p><p>длину проволоки, $\text{l}$</p><p><strong>Решение:</strong></p><p>Сопротивление проводника $\text{R}$ вычисляется по формуле:</p><p>$R = \rho \frac{l}{S}$</p><p>где $\rho$ — удельное сопротивление материала, $\text{l}$ — длина проводника, $\text{S}$ — площадь его поперечного сечения.</p><p>Из этой формулы выразим длину проволоки $\text{l}$:</p><p>$l = \frac{R \cdot S}{\rho}$</p><p>Подставим числовые значения (используя внесистемные единицы для удобства):</p><p>$l = \frac{180 \text{ Ом} \cdot 0,1 \text{ мм}^2}{0,4 \frac{\text{Ом} \cdot \text{мм}^2}{\text{м}}} = \frac{18}{0,4} \text{ м} = 45 \text{ м}$</p><p><strong>Ответ:</strong> потребуется 45 метров никелиновой проволоки.</p><p><strong>3.</strong> На цоколе электрической лампы написано: «3,5 В; 0,28 А». Найдите сопротивление спирали лампы.</p><p><strong>Дано:</strong></p><p>напряжение, $U = 3,5$ В</p><p>сила тока, $I = 0,28$ А</p><p><strong>Найти:</strong></p><p>сопротивление, $\text{R}$</p><p><strong>Решение:</strong></p><p>Для нахождения сопротивления воспользуемся законом Ома для участка цепи, который связывает напряжение $\text{U}$, силу тока $\text{I}$ и сопротивление $\text{R}$:</p><p>$I = \frac{U}{R}$</p><p>Выразим из этой формулы сопротивление $\text{R}$:</p><p>$R = \frac{U}{I}$</p><p>Подставим значения напряжения и силы тока, указанные на цоколе лампы:</p><p>$R = \frac{3,5 \text{ В}}{0,28 \text{ А}} = 12,5 \text{ Ом}$</p><p><strong>Ответ:</strong> сопротивление спирали лампы равно 12,5 Ом.</p>"
          ]
          #original: array:6 [
            "id" => 1820310
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1082}
            "task" => array:2 [
              "refs" => "1470321"
              "type" => "task"
            ]
            "text" => "<p><strong>1.</strong> Определите силу тока в электрической лампе, если через неё за 5 мин проходит электрический заряд 150 Кл.</p><p><strong>Дано:</strong></p><p>электрический заряд, $q = 150$ Кл</p><p>время, $t = 5$ мин</p><p><strong>Перевод в систему СИ:</strong></p><p>Время $\text{t}$ необходимо перевести из минут в секунды:</p><p>$t = 5 \text{ мин} = 5 \cdot 60 \text{ с} = 300 \text{ с}$</p><p><strong>Найти:</strong></p><p>силу тока, $\text{I}$</p><p><strong>Решение:</strong></p><p>Сила тока $\text{I}$ — это физическая величина, равная отношению электрического заряда $\text{q}$, прошедшего через поперечное сечение проводника, ко времени его прохождения $\text{t}$.</p><p>Формула для нахождения силы тока:</p><p>$I = \frac{q}{t}$</p><p>Подставим в формулу числовые значения из условия задачи:</p><p>$I = \frac{150 \text{ Кл}}{300 \text{ с}} = 0,5 \text{ А}$</p><p><strong>Ответ:</strong> сила тока в электрической лампе равна 0,5 А.</p><p><strong>2.</strong> Сколько метров никелиновой проволоки площадью поперечного сечения 0,1 мм² потребуется для изготовления реостата с сопротивлением 180 Ом?</p><p><strong>Дано:</strong></p><p>площадь поперечного сечения, $S = 0,1$ мм²</p><p>сопротивление, $R = 180$ Ом</p><p>материал — никелин</p><p><strong>Перевод в систему СИ:</strong></p><p>В данном случае для удобства вычислений можно использовать внесистемные единицы для удельного сопротивления ($\frac{\text{Ом} \cdot \text{мм}^2}{\text{м}}$) и площади сечения (мм²). Удельное сопротивление никелина $\rho = 0,4 \frac{\text{Ом} \cdot \text{мм}^2}{\text{м}}$. Если переводить все величины в СИ, то:</p><p>$S = 0,1 \text{ мм}^2 = 0,1 \cdot (10^{-3} \text{ м})^2 = 0,1 \cdot 10^{-6} \text{ м}^2 = 10^{-7} \text{ м}^2$</p><p>$\rho = 0,4 \frac{\text{Ом} \cdot \text{мм}^2}{\text{м}} = 0,4 \cdot 10^{-6} \text{ Ом} \cdot \text{м}$</p><p><strong>Найти:</strong></p><p>длину проволоки, $\text{l}$</p><p><strong>Решение:</strong></p><p>Сопротивление проводника $\text{R}$ вычисляется по формуле:</p><p>$R = \rho \frac{l}{S}$</p><p>где $\rho$ — удельное сопротивление материала, $\text{l}$ — длина проводника, $\text{S}$ — площадь его поперечного сечения.</p><p>Из этой формулы выразим длину проволоки $\text{l}$:</p><p>$l = \frac{R \cdot S}{\rho}$</p><p>Подставим числовые значения (используя внесистемные единицы для удобства):</p><p>$l = \frac{180 \text{ Ом} \cdot 0,1 \text{ мм}^2}{0,4 \frac{\text{Ом} \cdot \text{мм}^2}{\text{м}}} = \frac{18}{0,4} \text{ м} = 45 \text{ м}$</p><p><strong>Ответ:</strong> потребуется 45 метров никелиновой проволоки.</p><p><strong>3.</strong> На цоколе электрической лампы написано: «3,5 В; 0,28 А». Найдите сопротивление спирали лампы.</p><p><strong>Дано:</strong></p><p>напряжение, $U = 3,5$ В</p><p>сила тока, $I = 0,28$ А</p><p><strong>Найти:</strong></p><p>сопротивление, $\text{R}$</p><p><strong>Решение:</strong></p><p>Для нахождения сопротивления воспользуемся законом Ома для участка цепи, который связывает напряжение $\text{U}$, силу тока $\text{I}$ и сопротивление $\text{R}$:</p><p>$I = \frac{U}{R}$</p><p>Выразим из этой формулы сопротивление $\text{R}$:</p><p>$R = \frac{U}{I}$</p><p>Подставим значения напряжения и силы тока, указанные на цоколе лампы:</p><p>$R = \frac{3,5 \text{ В}}{0,28 \text{ А}} = 12,5 \text{ Ом}$</p><p><strong>Ответ:</strong> сопротивление спирали лампы равно 12,5 Ом.</p>"
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "next" => array:2 [
      "refs" => "1470322"
      "type" => "task"
    ]
    "previous" => array:2 [
      "refs" => "1470320"
      "type" => "task"
    ]
    "book" => Illuminate\Database\Eloquent\Collection {#1089
      #items: array:1 [
        0 => App\Models\Book {#1033}
      ]
      #escapeWhenCastingToString: false
    }
    "page" => Illuminate\Database\Eloquent\Collection {#1263
      #items: array:1 [
        0 => App\Models\BookPage {#1100
          #connection: "mysql"
          #table: "book_pages"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:21 [
            "id" => 1469685
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "81"
            "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy/page-81"
            "field_display_title" => "81"
            "field_folder" => "1"
            "field_image_name" => "81"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1106
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1105
              #items: array:1 [
                0 => App\Models\Book {#1107
                  #connection: "mysql"
                  #table: "books"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:50 [
                    "id" => 1038
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1108
                      #items: array:1 [
                        0 => App\Models\Term {#1109
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:10 [ …10]
                          #original: array:10 [ …10]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1110
                      #items: array:1 [
                        0 => App\Models\Term {#1111
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                           …12
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1112
                      #items: array:1 [
                        0 => App\Models\Term {#1113 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1114
                      #items: array:2 [
                        0 => App\Models\Term {#1115 …30}
                        1 => App\Models\Term {#1116 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1117
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1118
                      #items: array:1 [
                        0 => App\Models\Term {#1119 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1120
                      #items: array:1 [
                        0 => App\Models\Term {#1121 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1122
                      #items: array:1 [
                        0 => App\Models\Term {#1123 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1124
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1125
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1126
                      #items: array:1 [
                        0 => App\Models\Term {#1127 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1128
                      #items: array:1 [
                        0 => App\Models\Term {#1129 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_publication_number" => "4"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1130
                      #items: array:1 [
                        0 => App\Models\Term {#1131 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1132
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2022"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "661"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_08/maron-dm/"
                    "field_isbn" => "978-5-09-111138-5"
                    "field_cover" => array:1 [
                      0 => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989"
                        "alt" => ""
                        "width" => "2294"
                        "height" => "3039"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1133
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1134
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1135
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1136
                      #items: array:1 [
                        0 => App\Models\Term {#1137 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [
                      "class" => 379
                      "subject" => 556
                      "class_subject" => 492
                    ]
                  ]
                  #original: array:50 [
                    "id" => 1038
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1108}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1110}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1112}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1114}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1117}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1118}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1120}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1122}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1124}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1125}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1126}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1128}
                    "field_publication_number" => "4"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1130}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1132}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2022"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "661"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_08/maron-dm/"
                    "field_isbn" => "978-5-09-111138-5"
                    "field_cover" => array:1 [
                      0 => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989"
                        "alt" => ""
                        "width" => "2294"
                        "height" => "3039"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1133}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1134}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1135}
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1136}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [
                      "class" => 379
                      "subject" => 556
                      "class_subject" => 492
                    ]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1138
              #items: []
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1139
              #items: array:1 [
                0 => App\Models\Element {#1140
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 1761565
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "edition" => Illuminate\Database\Eloquent\Collection {#1141
                      #items: array:1 [
                        0 => App\Models\Edition {#1142 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "book_page" => array:2 [
                      "refs" => "1469685"
                      "type" => "book_page"
                    ]
                    "img" => array:1 [
                      0 => array:5 [
                        "name" => "81-1.jpg"
                        "alt" => null
                        "width" => "1593"
                        "height" => 2527
                        "path" => "/media/fizika_08/maron-dm/0-1/81-1.webp?ts=1760805574"
                      ]
                    ]
                  ]
                  #original: array:6 [
                    "id" => 1761565
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "edition" => Illuminate\Database\Eloquent\Collection {#1141}
                    "book_page" => array:2 [
                      "refs" => "1469685"
                      "type" => "book_page"
                    ]
                    "img" => array:1 [
                      0 => array:5 [
                        "name" => "81-1.jpg"
                        "alt" => null
                        "width" => "1593"
                        "height" => 2527
                        "path" => "/media/fizika_08/maron-dm/0-1/81-1.webp?ts=1760805574"
                      ]
                    ]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1469686"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1469684"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#1148
              #items: array:5 [
                0 => App\Models\Task {#1149
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1470318
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "80"
                    "field_page_end" => "81"
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy/cp07-9"
                    "field_display_title" => "Вариант 9"
                    "field_outside_task" => "0"
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1150
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1151
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1152
                      #items: array:1 [
                        0 => App\Models\Branch {#1153 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1157
                      #items: array:2 [
                        0 => App\Models\Branch {#1153 …30}
                        1 => App\Models\Branch {#1158 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#1197
                      #items: array:2 [
                        0 => App\Models\Element {#1198 …30}
                        1 => App\Models\Element {#1200 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "next" => array:2 [
                      "refs" => "1470319"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1470317"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1208
                      #items: array:1 [
                        0 => App\Models\Book {#1107}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
                      "refs" => "1469684"
                      "type" => "book_page"
                    ]
                  ]
                  #original: array:24 [
                    "id" => 1470318
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "80"
                    "field_page_end" => "81"
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy/cp07-9"
                    "field_display_title" => "Вариант 9"
                    "field_outside_task" => "0"
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1150}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1151}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1152}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1157}
                    "content" => Illuminate\Database\Eloquent\Collection {#1197}
                    "next" => array:2 [
                      "refs" => "1470319"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1470317"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1208}
                    "page" => array:2 [
                      "refs" => "1469684"
                      "type" => "book_page"
                    ]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                1 => App\Models\Task {#1209
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1470319
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
                    "field_page_end" => null
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy/cp07-10"
                    "field_display_title" => "Вариант 10"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1210
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1211
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1212
                      #items: array:1 [
                        0 => App\Models\Branch {#1153 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1213
                      #items: array:2 [
                        0 => App\Models\Branch {#1153 …30}
                        1 => App\Models\Branch {#1158 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#1214
                      #items: array:2 [
                        0 => App\Models\Element {#1215 …30}
                        1 => App\Models\Element {#1217 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "next" => array:2 [
                      "refs" => "1470320"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1470318"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1219
                      #items: array:1 [
                        0 => App\Models\Book {#1107}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
                      "refs" => "1469685"
                      "type" => "book_page"
                    ]
                  ]
                  #original: array:24 [
                    "id" => 1470319
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
                    "field_page_end" => null
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy/cp07-10"
                    "field_display_title" => "Вариант 10"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1210}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1211}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1212}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1213}
                    "content" => Illuminate\Database\Eloquent\Collection {#1214}
                    "next" => array:2 [
                      "refs" => "1470320"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1470318"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1219}
                    "page" => array:2 [
                      "refs" => "1469685"
                      "type" => "book_page"
                    ]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                2 => App\Models\Task {#1220
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1470320
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
                    "field_page_end" => null
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy/cp08-1"
                    "field_display_title" => "Вариант 1"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1221
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1222
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1223
                      #items: array:1 [
                        0 => App\Models\Branch {#1153 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1224
                      #items: array:2 [
                        0 => App\Models\Branch {#1225 …30}
                        1 => App\Models\Branch {#1229 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#1233
                      #items: array:2 [
                        0 => App\Models\Element {#1234 …30}
                        1 => App\Models\Element {#1236 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "next" => array:2 [
                      "refs" => "1470321"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1470319"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1238
                      #items: array:1 [
                        0 => App\Models\Book {#1107}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
                      "refs" => "1469685"
                      "type" => "book_page"
                    ]
                  ]
                  #original: array:24 [
                    "id" => 1470320
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
                    "field_page_end" => null
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy/cp08-1"
                    "field_display_title" => "Вариант 1"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1221}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1222}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1223}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1224}
                    "content" => Illuminate\Database\Eloquent\Collection {#1233}
                    "next" => array:2 [
                      "refs" => "1470321"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1470319"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1238}
                    "page" => array:2 [
                      "refs" => "1469685"
                      "type" => "book_page"
                    ]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                3 => App\Models\Task {#1239
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1470321
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
                    "field_page_end" => null
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy/cp08-2"
                    "field_display_title" => "Вариант 2"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1240
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1241
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1242
                      #items: array:1 [
                        0 => App\Models\Branch {#1225 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1243
                      #items: array:2 [
                        0 => App\Models\Branch {#1225 …30}
                        1 => App\Models\Branch {#1229 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#1244
                      #items: array:2 [
                        0 => App\Models\Element {#1245 …30}
                        1 => App\Models\Element {#1247 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "next" => array:2 [
                      "refs" => "1470322"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1470320"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1249
                      #items: array:1 [
                        0 => App\Models\Book {#1107}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
                      "refs" => "1469685"
                      "type" => "book_page"
                    ]
                  ]
                  #original: array:24 [
                    "id" => 1470321
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
                    "field_page_end" => null
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy/cp08-2"
                    "field_display_title" => "Вариант 2"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1240}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1241}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1242}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1243}
                    "content" => Illuminate\Database\Eloquent\Collection {#1244}
                    "next" => array:2 [
                      "refs" => "1470322"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1470320"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1249}
                    "page" => array:2 [
                      "refs" => "1469685"
                      "type" => "book_page"
                    ]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                4 => App\Models\Task {#1250
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1470322
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
                    "field_page_end" => "82"
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy/cp08-3"
                    "field_display_title" => "Вариант 3"
                    "field_outside_task" => "0"
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1251
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1252
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1253
                      #items: array:1 [
                        0 => App\Models\Branch {#1225 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1254
                      #items: array:2 [
                        0 => App\Models\Branch {#1225 …30}
                        1 => App\Models\Branch {#1229 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#1255
                      #items: array:2 [
                        0 => App\Models\Element {#1256 …30}
                        1 => App\Models\Element {#1258 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "next" => array:2 [
                      "refs" => "1470323"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1470321"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1260
                      #items: array:1 [
                        0 => App\Models\Book {#1107}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
                      "refs" => "1469685"
                      "type" => "book_page"
                    ]
                  ]
                  #original: array:24 [
                    "id" => 1470322
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
                    "field_page_end" => "82"
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy/cp08-3"
                    "field_display_title" => "Вариант 3"
                    "field_outside_task" => "0"
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1251}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1252}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1253}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1254}
                    "content" => Illuminate\Database\Eloquent\Collection {#1255}
                    "next" => array:2 [
                      "refs" => "1470323"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1470321"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1260}
                    "page" => array:2 [
                      "refs" => "1469685"
                      "type" => "book_page"
                    ]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
            "id" => 1469685
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "81"
            "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy/page-81"
            "field_display_title" => "81"
            "field_folder" => "1"
            "field_image_name" => "81"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1106}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1105}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1138}
            "content" => Illuminate\Database\Eloquent\Collection {#1139}
            "next" => array:2 [
              "refs" => "1469686"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1469684"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#1148}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
  ]
  #original: array:24 [
    "id" => 1470321
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "81"
    "field_page_end" => null
    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy/cp08-2"
    "field_display_title" => "Вариант 2"
    "field_outside_task" => null
    "field_task_type" => Illuminate\Database\Eloquent\Collection {#331}
    "field_metatags_title" => null
    "field_metatags_description" => null
    "field_h1" => null
    "field_description_top" => null
    "field_description_bottom" => null
    "field_match" => null
    "breadcrumbs" => []
    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1029}
    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1026}
    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1063}
    "content" => Illuminate\Database\Eloquent\Collection {#1072}
    "next" => array:2 [
      "refs" => "1470322"
      "type" => "task"
    ]
    "previous" => array:2 [
      "refs" => "1470320"
      "type" => "task"
    ]
    "book" => Illuminate\Database\Eloquent\Collection {#1089}
    "page" => array:2 [
      "refs" => "1469685"
      "type" => "book_page"
    ]
  ]
  #changes: []
  #casts: []
  #classCastCache: []
  #attributeCastCache: []
  #dateFormat: null
  #appends: []
  #dispatchesEvents: []
  #observables: []
  #relations: []
  #touches: []
  +timestamps: true
  +usesUniqueIds: false
  #hidden: []
  #visible: []
  #fillable: []
  #guarded: array:1 [
    0 => "*"
  ]
}
Вариант 2 (с. 81)
Условие. Вариант 2 (с. 81)
скриншот условия
Физика, 8 класс Дидактические материалы, авторы: Марон Абрам Евсеевич, Марон Евгений Абрамович, издательство Просвещение, Москва, 2022, белого цвета, страница 81, Условие

Вариант 3

1. Определите силу тока в электрической лампе, если через неё за 5 мин проходит электрический заряд 150 Кл.

2. Сколько метров никелиновой проволоки площадью поперечного сечения $0,1 \text{ мм}^2$ потребуется для изготовления реостата с сопротивлением $180 \text{ Ом}$?

3. На цоколе электрической лампы написано: «$3,5 \text{ В}$; $0,28 \text{ А}$». Найдите сопротивление спирали лампы.

Решение. Вариант 2 (с. 81)

1. Определите силу тока в электрической лампе, если через неё за 5 мин проходит электрический заряд 150 Кл.

Дано:

электрический заряд, $q = 150$ Кл

время, $t = 5$ мин

Перевод в систему СИ:

Время $\text{t}$ необходимо перевести из минут в секунды:

$t = 5 \text{ мин} = 5 \cdot 60 \text{ с} = 300 \text{ с}$

Найти:

силу тока, $\text{I}$

Решение:

Сила тока $\text{I}$ — это физическая величина, равная отношению электрического заряда $\text{q}$, прошедшего через поперечное сечение проводника, ко времени его прохождения $\text{t}$.

Формула для нахождения силы тока:

$I = \frac{q}{t}$

Подставим в формулу числовые значения из условия задачи:

$I = \frac{150 \text{ Кл}}{300 \text{ с}} = 0,5 \text{ А}$

Ответ: сила тока в электрической лампе равна 0,5 А.

2. Сколько метров никелиновой проволоки площадью поперечного сечения 0,1 мм² потребуется для изготовления реостата с сопротивлением 180 Ом?

Дано:

площадь поперечного сечения, $S = 0,1$ мм²

сопротивление, $R = 180$ Ом

материал — никелин

Перевод в систему СИ:

В данном случае для удобства вычислений можно использовать внесистемные единицы для удельного сопротивления ($\frac{\text{Ом} \cdot \text{мм}^2}{\text{м}}$) и площади сечения (мм²). Удельное сопротивление никелина $\rho = 0,4 \frac{\text{Ом} \cdot \text{мм}^2}{\text{м}}$. Если переводить все величины в СИ, то:

$S = 0,1 \text{ мм}^2 = 0,1 \cdot (10^{-3} \text{ м})^2 = 0,1 \cdot 10^{-6} \text{ м}^2 = 10^{-7} \text{ м}^2$

$\rho = 0,4 \frac{\text{Ом} \cdot \text{мм}^2}{\text{м}} = 0,4 \cdot 10^{-6} \text{ Ом} \cdot \text{м}$

Найти:

длину проволоки, $\text{l}$

Решение:

Сопротивление проводника $\text{R}$ вычисляется по формуле:

$R = \rho \frac{l}{S}$

где $\rho$ — удельное сопротивление материала, $\text{l}$ — длина проводника, $\text{S}$ — площадь его поперечного сечения.

Из этой формулы выразим длину проволоки $\text{l}$:

$l = \frac{R \cdot S}{\rho}$

Подставим числовые значения (используя внесистемные единицы для удобства):

$l = \frac{180 \text{ Ом} \cdot 0,1 \text{ мм}^2}{0,4 \frac{\text{Ом} \cdot \text{мм}^2}{\text{м}}} = \frac{18}{0,4} \text{ м} = 45 \text{ м}$

Ответ: потребуется 45 метров никелиновой проволоки.

3. На цоколе электрической лампы написано: «3,5 В; 0,28 А». Найдите сопротивление спирали лампы.

Дано:

напряжение, $U = 3,5$ В

сила тока, $I = 0,28$ А

Найти:

сопротивление, $\text{R}$

Решение:

Для нахождения сопротивления воспользуемся законом Ома для участка цепи, который связывает напряжение $\text{U}$, силу тока $\text{I}$ и сопротивление $\text{R}$:

$I = \frac{U}{R}$

Выразим из этой формулы сопротивление $\text{R}$:

$R = \frac{U}{I}$

Подставим значения напряжения и силы тока, указанные на цоколе лампы:

$R = \frac{3,5 \text{ В}}{0,28 \text{ А}} = 12,5 \text{ Ом}$

Ответ: сопротивление спирали лампы равно 12,5 Ом.

Помогло решение? Оставьте отзыв в комментариях ниже.

Присоединяйтесь к Телеграм-группе @top_gdz

Присоединиться

Мы подготовили для вас ответ c подробным объяснением домашего задания по физике за 8 класс, для упражнения Вариант 2 расположенного на странице 81 к дидактическим материалам 2022 года издания для учащихся школ и гимназий.

Теперь на нашем сайте ГДЗ.ТОП вы всегда легко и бесплатно найдёте условие с правильным ответом на вопрос «Как решить ДЗ» и «Как сделать» задание по физике к упражнению Вариант 2 (с. 81), авторов: Марон (Абрам Евсеевич), Марон (Евгений Абрамович), ФГОС (новый, красный) базовый уровень обучения учебного пособия издательства Просвещение.