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Номер 5, страница 153 - гдз по физике 8 класс учебник Хижнякова, Синявина
Авторы: Хижнякова Л. С., Синявина А. А.
Тип: Учебник
Серия: алгоритм успеха
Издательство: Вентана-граф
Год издания: 2011 - 2026
Цвет обложки: серый
ISBN: 978-5-360-09134-9
Популярные ГДЗ в 8 классе
Глава 9. Электрический ток в металлах. Закон Ома для участка электрической цепи. Параграф 41. Закон Ома для участка электрической цепи. Задания и упражнения - номер 5, страница 153.
App\Models\Task {#1030 // 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" => 1498900 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "153" "field_page_end" => null "field_url" => "/8-klass/fizika/hizhnyakova-uchebnik/41zad-5" "field_display_title" => "5" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1037 #items: array:1 [ 0 => App\Models\Term {#1036 #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" => 26 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "номер" "field_cases" => array:6 [ "field_accusative_case" => "номер" "field_creative_case" => "номером" "field_dative_case" => "номеру" "field_genitive_case" => "номера" "field_nominative_case" => "номер" "field_prepositional_case" => "номере" ] "field_short_name" => "№" ] #original: array:6 [ "id" => 26 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "номер" "field_cases" => array:6 [ "field_accusative_case" => "номер" "field_creative_case" => "номером" "field_dative_case" => "номеру" "field_genitive_case" => "номера" "field_nominative_case" => "номер" "field_prepositional_case" => "номере" ] "field_short_name" => "№" ] #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 "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1035 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1046 #items: array:1 [ 0 => App\Models\Branch {#1045 #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" => 1498434 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Электрический ток в металлах. Закон Ома для участка электрической цепи" "field_branch_order" => "9" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1050 #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:7 [ "id" => 29 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Глава" "field_cases" => array:6 [ "field_accusative_case" => "Главу" "field_creative_case" => "Главой" "field_dative_case" => "Главе" "field_genitive_case" => "Главы" "field_nominative_case" => "Глава" "field_prepositional_case" => "Главе" ] "field_page_check_not_needed" => null "field_short_name" => null ] #original: array:7 [ "id" => 29 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Глава" "field_cases" => array:6 [ "field_accusative_case" => "Главу" "field_creative_case" => "Главой" "field_dative_case" => "Главе" "field_genitive_case" => "Главы" "field_nominative_case" => "Глава" "field_prepositional_case" => "Главе" ] "field_page_check_not_needed" => null "field_short_name" => 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_page_start" => "145" "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 {#1058 #items: array:1 [ 0 => App\Models\Book {#1057 #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" => 2040 "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 {#1062 #items: array:1 [ 0 => App\Models\Term {#1059 #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 {#1070 #items: array:1 [ 0 => App\Models\Term {#1069 #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 {#1066 #items: array:1 [ 0 => App\Models\Term {#1060 #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" => 5174 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Вентана-граф" "field_cases" => null "field_translit" => "ventana-graf" ] #original: array:6 [ "id" => 5174 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Вентана-граф" "field_cases" => null "field_translit" => "ventana-graf" ] #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 {#1063 #items: array:2 [ 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:12 [ "id" => 6112 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Хижнякова" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Людмила" "field_patronymic" => "Степановна" "field_surname_rp" => null ] #original: array:12 [ "id" => 6112 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Хижнякова" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Людмила" "field_patronymic" => "Степановна" "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 {#1076 #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" => 5769 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Синявина" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Анна" "field_patronymic" => "Афанасьевна" "field_surname_rp" => null ] #original: array:12 [ "id" => 5769 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Синявина" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Анна" "field_patronymic" => "Афанасьевна" "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 {#1073 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1071 #items: array:1 [ 0 => App\Models\Term {#1064 #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" => 6671 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Учебник" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "учебник" "field_creative_case" => "учебником" "field_dative_case" => "учебнику" "field_genitive_case" => "учебника" "field_nominative_case" => "учебник" "field_prepositional_case" => "учебнике" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "uchebnik" ] #original: array:10 [ "id" => 6671 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Учебник" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "учебник" "field_creative_case" => "учебником" "field_dative_case" => "учебнику" "field_genitive_case" => "учебника" "field_nominative_case" => "учебник" "field_prepositional_case" => "учебнике" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "uchebnik" ] #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 {#1072 #items: array:1 [ 0 => App\Models\Term {#1075 #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 {#1078 #items: array:1 [ 0 => App\Models\Term {#1067 #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 {#1080 #items: array:1 [ 0 => App\Models\Term {#1065 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:8 [ "id" => 4697 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "алгоритм успеха" "field_cases" => null "field_foreign_lang_series" => null "field_transcription_eng" => null "field_translit" => "algoritm uspekha" ] #original: array:8 [ "id" => 4697 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "алгоритм успеха" "field_cases" => null "field_foreign_lang_series" => null "field_transcription_eng" => null "field_translit" => "algoritm uspekha" ] #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_umk" => Illuminate\Database\Eloquent\Collection {#1079 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1061 #items: [] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1081 #items: [] #escapeWhenCastingToString: false } "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1082 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1083 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2011" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебник для учащихся общеобразовательных организаций" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "563" "field_priority" => null "field_default_folder" => "/fizika_08/hizhnyakova-u/" "field_isbn" => "978-5-360-09134-9" "field_cover" => array:1 [ 0 => "/media/fizika_08/hizhnyakova-u/covers/cover1.webp?ts=1761130904" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_08/hizhnyakova-u/covers/cover1.webp?ts=1761130904" "alt" => "" "width" => "1881" "height" => "2550" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1084 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1085 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1086 #items: [] #escapeWhenCastingToString: false } "field_url" => "/8-klass/fizika/hizhnyakova-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1096 #items: array:1 [ 0 => App\Models\Term {#1095 #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" => 54 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "серый" "field_cases" => array:6 [ "field_accusative_case" => "серый" "field_creative_case" => "серым" "field_dative_case" => "серому" "field_genitive_case" => "серого" "field_nominative_case" => "серый" "field_prepositional_case" => "сером" ] "field_translit" => "seryy" ] #original: array:6 [ "id" => 54 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "серый" "field_cases" => array:6 [ "field_accusative_case" => "серый" "field_creative_case" => "серым" "field_dative_case" => "серому" "field_genitive_case" => "серого" "field_nominative_case" => "серый" "field_prepositional_case" => "сером" ] "field_translit" => "seryy" ] #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" => 2040 "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 {#1062} "field_class" => Illuminate\Database\Eloquent\Collection {#1070} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1066} "field_author" => Illuminate\Database\Eloquent\Collection {#1063} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1073} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1071} "field_country" => Illuminate\Database\Eloquent\Collection {#1072} "field_city" => Illuminate\Database\Eloquent\Collection {#1078} "field_series" => Illuminate\Database\Eloquent\Collection {#1080} "field_umk" => Illuminate\Database\Eloquent\Collection {#1079} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1061} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1081} "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1082} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1083} "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2011" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебник для учащихся общеобразовательных организаций" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "563" "field_priority" => null "field_default_folder" => "/fizika_08/hizhnyakova-u/" "field_isbn" => "978-5-360-09134-9" "field_cover" => array:1 [ 0 => "/media/fizika_08/hizhnyakova-u/covers/cover1.webp?ts=1761130904" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_08/hizhnyakova-u/covers/cover1.webp?ts=1761130904" "alt" => "" "width" => "1881" "height" => "2550" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1084} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1085} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1086} "field_url" => "/8-klass/fizika/hizhnyakova-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1096} "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 {#1048 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1498434 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Электрический ток в металлах. Закон Ома для участка электрической цепи" "field_branch_order" => "9" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1050} "field_page_start" => "145" "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 {#1058} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1048} ] #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 {#1112 #items: array:3 [ 0 => App\Models\Branch {#1122 #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" => 1498434 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Электрический ток в металлах. Закон Ома для участка электрической цепи" "field_branch_order" => "9" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1123 #items: array:1 [ 0 => App\Models\Term {#1047} ] #escapeWhenCastingToString: false } "field_page_start" => "145" "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 {#1124 #items: array:1 [ 0 => App\Models\Book {#1057} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1125 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1498434 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Электрический ток в металлах. Закон Ома для участка электрической цепи" "field_branch_order" => "9" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1123} "field_page_start" => "145" "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 {#1124} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1125} ] #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\Branch {#1126 #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" => 1498438 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Закон Ома для участка электрической цепи" "field_branch_order" => "41" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1130 #items: array:1 [ 0 => App\Models\Term {#1127 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:7 [ "id" => 32 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Параграф" "field_cases" => array:6 [ "field_accusative_case" => "Параграф" "field_creative_case" => "Параграфом" "field_dative_case" => "Параграфу" "field_genitive_case" => "Параграфа" "field_nominative_case" => "Параграф" "field_prepositional_case" => "Параграфе" ] "field_page_check_not_needed" => null "field_short_name" => "§" ] #original: array:7 [ "id" => 32 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Параграф" "field_cases" => array:6 [ "field_accusative_case" => "Параграф" "field_creative_case" => "Параграфом" "field_dative_case" => "Параграфу" "field_genitive_case" => "Параграфа" "field_nominative_case" => "Параграф" "field_prepositional_case" => "Параграфе" ] "field_page_check_not_needed" => null "field_short_name" => "§" ] #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_page_start" => "149" "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 {#1129 #items: array:1 [ 0 => App\Models\Book {#1057} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1128 #items: array:1 [ 0 => App\Models\Branch {#1045} ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1498438 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Закон Ома для участка электрической цепи" "field_branch_order" => "41" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1130} "field_page_start" => "149" "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 {#1129} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1128} ] #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\Branch {#1131 #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" => 1498440 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Задания и упражнения" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1132 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "152" "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 {#1133 #items: array:1 [ 0 => App\Models\Book {#1057} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1142 #items: array:1 [ 0 => App\Models\Branch {#1141 #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" => 1498438 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Закон Ома для участка электрической цепи" "field_branch_order" => "41" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1143 #items: array:1 [ 0 => App\Models\Term {#1127} ] #escapeWhenCastingToString: false } "field_page_start" => "149" "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 {#1144 #items: array:1 [ 0 => App\Models\Book {#1057} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1145 #items: array:1 [ 0 => App\Models\Branch {#1045} ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1498438 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Закон Ома для участка электрической цепи" "field_branch_order" => "41" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1143} "field_page_start" => "149" "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 {#1144} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1145} ] #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" => 1498440 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Задания и упражнения" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1132} "field_page_start" => "152" "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 {#1133} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1142} ] #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 {#1038 #items: array:2 [ 0 => App\Models\Element {#1104 #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" => 1782912 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1093 #items: array:1 [ 0 => App\Models\Edition {#1090 #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" => 6517 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1087 #items: array:1 [ 0 => App\Models\Term {#1060} ] #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 {#1054 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1089 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1055 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 6517 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1087} "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 {#1054} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1089} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1055} "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" => "1498900" "type" => "task" ] "text" => "<p><strong>5.</strong> Электрическая плитка рассчитана на напряжение $220 \text{ В}$. Сопротивление её спирали равно $75 \text{ Ом}$. Найдите силу тока.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "5-1.jpg" "alt" => null "width" => "426" "height" => 134 "path" => "/media/fizika_08/hizhnyakova-u/0-41zad/5-1.webp?ts=1761566420" ] ] ] #original: array:7 [ "id" => 1782912 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1093} "task" => array:2 [ "refs" => "1498900" "type" => "task" ] "text" => "<p><strong>5.</strong> Электрическая плитка рассчитана на напряжение $220 \text{ В}$. Сопротивление её спирали равно $75 \text{ Ом}$. Найдите силу тока.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "5-1.jpg" "alt" => null "width" => "426" "height" => 134 "path" => "/media/fizika_08/hizhnyakova-u/0-41zad/5-1.webp?ts=1761566420" ] ] ] #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 {#1102 #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" => 1856909 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1053 #items: array:1 [ 0 => App\Models\Edition {#1052 #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" => 7192 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1116 #items: array:1 [ 0 => App\Models\Term {#1120 #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" => 7012 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Gemini 2.5 Pro" "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" => "gemini 2.5 pro" ] #original: array:6 [ "id" => 7012 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Gemini 2.5 Pro" "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" => "gemini 2.5 pro" ] #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_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 {#1111 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1041 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1051 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 7192 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1116} "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 {#1111} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1041} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1051} "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" => "1498900" "type" => "task" ] "text" => "<p><strong>Дано:</strong></p><p>Напряжение, $U = 220 \text{ В}$</p><p>Сопротивление, $R = 75 \text{ Ом}$</p><p>Все данные представлены в системе СИ.</p><p><strong>Найти:</strong></p><p>Силу тока, $\text{I}$</p><p><strong>Решение:</strong></p><p>Для определения силы тока, протекающего через спираль электрической плитки, мы можем использовать закон Ома для участка цепи. Этот закон устанавливает связь между силой тока ($\text{I}$), напряжением ($\text{U}$) и сопротивлением ($\text{R}$).</p><p>Формула закона Ома:</p><p>$I = \frac{U}{R}$</p><p>Подставим данные из условия задачи в эту формулу:</p><p>$I = \frac{220 \text{ В}}{75 \text{ Ом}}$</p><p>Выполним расчет:</p><p>$I \approx 2.933... \text{ А}$</p><p>Округлим результат до сотых для практического применения.</p><p>$I \approx 2.93 \text{ А}$</p><p><strong>Ответ:</strong> сила тока в спирали электрической плитки составляет приблизительно $2.93 \text{ А}$.</p>" ] #original: array:6 [ "id" => 1856909 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1053} "task" => array:2 [ "refs" => "1498900" "type" => "task" ] "text" => "<p><strong>Дано:</strong></p><p>Напряжение, $U = 220 \text{ В}$</p><p>Сопротивление, $R = 75 \text{ Ом}$</p><p>Все данные представлены в системе СИ.</p><p><strong>Найти:</strong></p><p>Силу тока, $\text{I}$</p><p><strong>Решение:</strong></p><p>Для определения силы тока, протекающего через спираль электрической плитки, мы можем использовать закон Ома для участка цепи. Этот закон устанавливает связь между силой тока ($\text{I}$), напряжением ($\text{U}$) и сопротивлением ($\text{R}$).</p><p>Формула закона Ома:</p><p>$I = \frac{U}{R}$</p><p>Подставим данные из условия задачи в эту формулу:</p><p>$I = \frac{220 \text{ В}}{75 \text{ Ом}}$</p><p>Выполним расчет:</p><p>$I \approx 2.933... \text{ А}$</p><p>Округлим результат до сотых для практического применения.</p><p>$I \approx 2.93 \text{ А}$</p><p><strong>Ответ:</strong> сила тока в спирали электрической плитки составляет приблизительно $2.93 \text{ А}$.</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" => "1498901" "type" => "task" ] "previous" => array:2 [ "refs" => "1498899" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1107 #items: array:1 [ 0 => App\Models\Book {#1057} ] #escapeWhenCastingToString: false } "page" => Illuminate\Database\Eloquent\Collection {#1040 #items: array:1 [ 0 => App\Models\BookPage {#1109 #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" => 1499187 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "153" "field_url" => "/8-klass/fizika/hizhnyakova-uchebnik/page-153" "field_display_title" => "153" "field_folder" => "1" "field_image_name" => "153" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1103 #items: [] #escapeWhenCastingToString: false } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1099 #items: array:1 [ 0 => App\Models\Book {#1057} ] #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 {#1101 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1117 #items: array:1 [ 0 => App\Models\Element {#1114 #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" => 1783199 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1135 #items: array:1 [ 0 => App\Models\Edition {#1090} ] #escapeWhenCastingToString: false } "book_page" => array:2 [ "refs" => "1499187" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "153-1.jpg" "alt" => null "width" => "953" "height" => 1298 "path" => "/media/fizika_08/hizhnyakova-u/0-1/153-1.webp?ts=1761566637" ] ] ] #original: array:6 [ "id" => 1783199 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1135} "book_page" => array:2 [ "refs" => "1499187" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "153-1.jpg" "alt" => null "width" => "953" "height" => 1298 "path" => "/media/fizika_08/hizhnyakova-u/0-1/153-1.webp?ts=1761566637" ] ] ] #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" => "1499188" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1499186" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1209 #items: array:3 [ 0 => App\Models\Task {#1219 #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" => 1498900 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "153" "field_page_end" => null "field_url" => "/8-klass/fizika/hizhnyakova-uchebnik/41zad-5" "field_display_title" => "5" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1220 #items: array:1 [ 0 => App\Models\Term {#1036} ] #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 {#1221 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1222 #items: array:1 [ 0 => App\Models\Branch {#1122} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1223 #items: array:3 [ 0 => App\Models\Branch {#1122} 1 => App\Models\Branch {#1126} 2 => App\Models\Branch {#1131} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1224 #items: array:2 [ 0 => App\Models\Element {#1104} 1 => App\Models\Element {#1102} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1498901" "type" => "task" ] "previous" => array:2 [ "refs" => "1498899" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1225 #items: array:1 [ 0 => App\Models\Book {#1057} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1499187" "type" => "book_page" ] ] #original: array:24 [ "id" => 1498900 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "153" "field_page_end" => null "field_url" => "/8-klass/fizika/hizhnyakova-uchebnik/41zad-5" "field_display_title" => "5" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1220} "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 {#1221} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1222} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1223} "content" => Illuminate\Database\Eloquent\Collection {#1224} "next" => array:2 [ "refs" => "1498901" "type" => "task" ] "previous" => array:2 [ "refs" => "1498899" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1225} "page" => array:2 [ "refs" => "1499187" "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 {#1226 #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" => 1498901 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "153" "field_page_end" => null "field_url" => "/8-klass/fizika/hizhnyakova-uchebnik/41zad-6" "field_display_title" => "6" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1227 #items: array:1 [ 0 => App\Models\Term {#1036} ] #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 {#1228 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1229 #items: array:1 [ 0 => App\Models\Branch {#1122} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1230 #items: array:3 [ 0 => App\Models\Branch {#1122} 1 => App\Models\Branch {#1126} 2 => App\Models\Branch {#1131} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1232 #items: array:2 [ 0 => App\Models\Element {#1241 #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" => 1782913 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1242 #items: array:1 [ 0 => App\Models\Edition {#1090} ] #escapeWhenCastingToString: false } "task" => array:2 [ "refs" => "1498901" "type" => "task" ] "text" => "<p><strong>6.</strong> На рис. 129 изображены графики 1, 2 зависимости силы тока от напряжения для двух проводников. Какой из этих проводников обладает большим сопротивлением?</p><p>Рис. 129</p>" "img" => array:2 [ 0 => array:5 [ "name" => "6-1.jpg" "alt" => null "width" => "428" "height" => 183 "path" => "/media/fizika_08/hizhnyakova-u/0-41zad/6-1.webp?ts=1761566420" ] 1 => array:5 [ "name" => "6-2.jpg" "alt" => null "width" => "343" "height" => 400 "path" => "/media/fizika_08/hizhnyakova-u/0-41zad/6-2.webp?ts=1761566420" ] ] ] #original: array:7 [ "id" => 1782913 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1242} "task" => array:2 [ "refs" => "1498901" "type" => "task" ] "text" => "<p><strong>6.</strong> На рис. 129 изображены графики 1, 2 зависимости силы тока от напряжения для двух проводников. Какой из этих проводников обладает большим сопротивлением?</p><p>Рис. 129</p>" "img" => array:2 [ 0 => array:5 [ "name" => "6-1.jpg" "alt" => null "width" => "428" "height" => 183 "path" => "/media/fizika_08/hizhnyakova-u/0-41zad/6-1.webp?ts=1761566420" ] 1 => array:5 [ "name" => "6-2.jpg" "alt" => null "width" => "343" "height" => 400 "path" => "/media/fizika_08/hizhnyakova-u/0-41zad/6-2.webp?ts=1761566420" ] ] ] #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 {#1243 #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" => 1856910 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1244 #items: array:1 [ 0 => App\Models\Edition {#1052} ] #escapeWhenCastingToString: false } "task" => array:2 [ "refs" => "1498901" "type" => "task" ] "text" => "<p><strong>Дано:</strong></p><p>График зависимости силы тока $\text{I}$ от напряжения $\text{U}$ для двух проводников (1 и 2).</p><p>Из графика для проводника 1: при $U_1 = 4$ В, сила тока $I_1 = 3.5$ А.</p><p>Из графика для проводника 2: при $U_2 = 6$ В, сила тока $I_2 = 2.5$ А.</p><p><strong>Найти:</strong></p><p>Какой из проводников обладает большим сопротивлением.</p><p><strong>Решение:</strong></p><p>Сопротивление проводника $\text{R}$ определяется по закону Ома как отношение напряжения $\text{U}$ на его концах к силе тока $\text{I}$, протекающего через него:</p><p>$R = \frac{U}{I}$</p><p>Для ответа на вопрос можно использовать два подхода: качественный (анализ наклона графика) и количественный (расчет конкретных значений).</p><p><strong>1.</strong> Качественный анализ</p><p>Выразим силу тока из закона Ома: $I = \frac{1}{R} \cdot U$. Данное уравнение описывает прямую пропорциональность, где коэффициент пропорциональности (угловой коэффициент графика в осях $\text{I}$ от $\text{U}$) равен $k = \frac{1}{R}$.</p><p>Угловой коэффициент $\text{k}$ определяет наклон графика: чем больше $\text{k}$, тем круче идет график (тем больше угол наклона к оси напряжения $\text{U}$).</p><p>Из графика видно, что линия 1 имеет больший наклон, чем линия 2. Следовательно, угловой коэффициент для первого проводника больше, чем для второго: $k_1 > k_2$.</p><p>Так как $k = \frac{1}{R}$, то из неравенства $k_1 > k_2$ следует, что $\frac{1}{R_1} > \frac{1}{R_2}$.</p><p>Это означает, что сопротивление первого проводника меньше сопротивления второго: $R_1 < R_2$.</p><p><strong>2.</strong> Количественный расчет</p><p>Рассчитаем сопротивление для каждого проводника, используя данные, взятые из любой точки на соответствующем графике.</p><p>Для проводника 1 (используя точку $U_1 = 4$ В, $I_1 = 3.5$ А):</p><p>$R_1 = \frac{U_1}{I_1} = \frac{4 \text{ В}}{3.5 \text{ А}} \approx 1.14 \text{ Ом}$</p><p>Для проводника 2 (используя точку $U_2 = 6$ В, $I_2 = 2.5$ А):</p><p>$R_2 = \frac{U_2}{I_2} = \frac{6 \text{ В}}{2.5 \text{ А}} = 2.4 \text{ Ом}$</p><p>Сравнив полученные значения сопротивлений $R_1 \approx 1.14 \text{ Ом}$ и $R_2 = 2.4 \text{ Ом}$, видим, что $R_2 > R_1$.</p><p>Оба способа приводят к выводу, что второй проводник обладает большим сопротивлением.</p><p><strong>Ответ:</strong> Проводник 2 обладает большим сопротивлением.</p>" ] #original: array:6 [ "id" => 1856910 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1244} "task" => array:2 [ "refs" => "1498901" "type" => "task" ] "text" => "<p><strong>Дано:</strong></p><p>График зависимости силы тока $\text{I}$ от напряжения $\text{U}$ для двух проводников (1 и 2).</p><p>Из графика для проводника 1: при $U_1 = 4$ В, сила тока $I_1 = 3.5$ А.</p><p>Из графика для проводника 2: при $U_2 = 6$ В, сила тока $I_2 = 2.5$ А.</p><p><strong>Найти:</strong></p><p>Какой из проводников обладает большим сопротивлением.</p><p><strong>Решение:</strong></p><p>Сопротивление проводника $\text{R}$ определяется по закону Ома как отношение напряжения $\text{U}$ на его концах к силе тока $\text{I}$, протекающего через него:</p><p>$R = \frac{U}{I}$</p><p>Для ответа на вопрос можно использовать два подхода: качественный (анализ наклона графика) и количественный (расчет конкретных значений).</p><p><strong>1.</strong> Качественный анализ</p><p>Выразим силу тока из закона Ома: $I = \frac{1}{R} \cdot U$. Данное уравнение описывает прямую пропорциональность, где коэффициент пропорциональности (угловой коэффициент графика в осях $\text{I}$ от $\text{U}$) равен $k = \frac{1}{R}$.</p><p>Угловой коэффициент $\text{k}$ определяет наклон графика: чем больше $\text{k}$, тем круче идет график (тем больше угол наклона к оси напряжения $\text{U}$).</p><p>Из графика видно, что линия 1 имеет больший наклон, чем линия 2. Следовательно, угловой коэффициент для первого проводника больше, чем для второго: $k_1 > k_2$.</p><p>Так как $k = \frac{1}{R}$, то из неравенства $k_1 > k_2$ следует, что $\frac{1}{R_1} > \frac{1}{R_2}$.</p><p>Это означает, что сопротивление первого проводника меньше сопротивления второго: $R_1 < R_2$.</p><p><strong>2.</strong> Количественный расчет</p><p>Рассчитаем сопротивление для каждого проводника, используя данные, взятые из любой точки на соответствующем графике.</p><p>Для проводника 1 (используя точку $U_1 = 4$ В, $I_1 = 3.5$ А):</p><p>$R_1 = \frac{U_1}{I_1} = \frac{4 \text{ В}}{3.5 \text{ А}} \approx 1.14 \text{ Ом}$</p><p>Для проводника 2 (используя точку $U_2 = 6$ В, $I_2 = 2.5$ А):</p><p>$R_2 = \frac{U_2}{I_2} = \frac{6 \text{ В}}{2.5 \text{ А}} = 2.4 \text{ Ом}$</p><p>Сравнив полученные значения сопротивлений $R_1 \approx 1.14 \text{ Ом}$ и $R_2 = 2.4 \text{ Ом}$, видим, что $R_2 > R_1$.</p><p>Оба способа приводят к выводу, что второй проводник обладает большим сопротивлением.</p><p><strong>Ответ:</strong> Проводник 2 обладает большим сопротивлением.</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" => "1498902" "type" => "task" ] "previous" => array:2 [ "refs" => "1498900" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1238 #items: array:1 [ 0 => App\Models\Book {#1057} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1499187" "type" => "book_page" ] ] #original: array:24 [ "id" => 1498901 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "153" "field_page_end" => null "field_url" => "/8-klass/fizika/hizhnyakova-uchebnik/41zad-6" "field_display_title" => "6" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1227} "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 {#1228} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1229} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1230} "content" => Illuminate\Database\Eloquent\Collection {#1232} "next" => array:2 [ "refs" => "1498902" "type" => "task" ] "previous" => array:2 [ "refs" => "1498900" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1238} "page" => array:2 [ "refs" => "1499187" "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 {#1233 #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" => 1498902 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "153" "field_page_end" => null "field_url" => "/8-klass/fizika/hizhnyakova-uchebnik/41zad-7" "field_display_title" => "7" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1231 #items: array:1 [ 0 => App\Models\Term {#1036} ] #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 {#1240 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1236 #items: array:1 [ 0 => App\Models\Branch {#1122} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1234 #items: array:3 [ 0 => App\Models\Branch {#1122} 1 => App\Models\Branch {#1126} 2 => App\Models\Branch {#1131} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1235 #items: array:2 [ 0 => App\Models\Element {#1253 #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" => 1782914 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1254 #items: array:1 [ 0 => App\Models\Edition {#1090} ] #escapeWhenCastingToString: false } "task" => array:2 [ "refs" => "1498902" "type" => "task" ] "text" => "<p><strong>7.</strong> В спирали электронагревателя, изготовленной из нихромовой проволоки, длиной 4 м и площадью поперечного сечения 0,1 мм<sup>2</sup> сила тока равна 5 А. Найдите напряжение на спирали электронагревателя.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "7-1.jpg" "alt" => null "width" => "435" "height" => 211 "path" => "/media/fizika_08/hizhnyakova-u/0-41zad/7-1.webp?ts=1761566420" ] ] ] #original: array:7 [ "id" => 1782914 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1254} "task" => array:2 [ "refs" => "1498902" "type" => "task" ] "text" => "<p><strong>7.</strong> В спирали электронагревателя, изготовленной из нихромовой проволоки, длиной 4 м и площадью поперечного сечения 0,1 мм<sup>2</sup> сила тока равна 5 А. Найдите напряжение на спирали электронагревателя.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "7-1.jpg" "alt" => null "width" => "435" "height" => 211 "path" => "/media/fizika_08/hizhnyakova-u/0-41zad/7-1.webp?ts=1761566420" ] ] ] #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 {#1255 #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" => 1856911 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1256 #items: array:1 [ 0 => App\Models\Edition {#1052} ] #escapeWhenCastingToString: false } "task" => array:2 [ "refs" => "1498902" "type" => "task" ] "text" => "<p><strong>Дано:</strong></p><p>Материал проволоки - нихром</p><p>Длина проволоки, $l = 4$ м</p><p>Площадь поперечного сечения, $S = 0,1 \text{ мм}^2$</p><p>Сила тока, $I = 5$ А</p><p>Удельное сопротивление нихрома, $\rho \approx 1,1 \cdot 10^{-6} \text{ Ом} \cdot \text{м}$ (табличное значение)</p><p><em>Перевод в СИ:</em></p><p>Площадь поперечного сечения: $S = 0,1 \text{ мм}^2 = 0,1 \cdot (10^{-3} \text{ м})^2 = 0,1 \cdot 10^{-6} \text{ м}^2 = 10^{-7} \text{ м}^2$.</p><p>Остальные величины уже даны в системе СИ.</p><p><strong>Найти:</strong></p><p>Напряжение на спирали, $\text{U}$</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Для нахождения напряжения на спирали воспользуемся законом Ома для участка цепи, который связывает напряжение, силу тока и сопротивление:</p><p>$U = I \cdot R$</p><p>где $\text{I}$ – сила тока, а $\text{R}$ – сопротивление спирали.</p><p><strong>2.</strong> Сопротивление спирали $\text{R}$ зависит от материала, длины и площади поперечного сечения проводника. Мы можем вычислить его по формуле:</p><p>$R = \rho \frac{l}{S}$</p><p>где $\rho$ – удельное электрическое сопротивление нихрома (табличная величина), $\text{l}$ – длина проволоки, $\text{S}$ – площадь ее поперечного сечения.</p><p><strong>3.</strong> Подставим значения, переведенные в систему СИ, в формулу для сопротивления:</p><p>$R = 1,1 \cdot 10^{-6} \text{ Ом} \cdot \text{м} \cdot \frac{4 \text{ м}}{10^{-7} \text{ м}^2} = 1,1 \cdot 4 \cdot 10^{-6 - (-7)} \text{ Ом} = 4,4 \cdot 10^{1} \text{ Ом} = 44 \text{ Ом}$</p><p><strong>4.</strong> Теперь, зная сопротивление спирали (44 Ом) и силу тока в ней (5 А), найдем напряжение по закону Ома:</p><p>$U = 5 \text{ А} \cdot 44 \text{ Ом} = 220 \text{ В}$</p><p><strong>Ответ:</strong> напряжение на спирали электронагревателя равно 220 В.</p>" ] #original: array:6 [ "id" => 1856911 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1256} "task" => array:2 [ "refs" => "1498902" "type" => "task" ] "text" => "<p><strong>Дано:</strong></p><p>Материал проволоки - нихром</p><p>Длина проволоки, $l = 4$ м</p><p>Площадь поперечного сечения, $S = 0,1 \text{ мм}^2$</p><p>Сила тока, $I = 5$ А</p><p>Удельное сопротивление нихрома, $\rho \approx 1,1 \cdot 10^{-6} \text{ Ом} \cdot \text{м}$ (табличное значение)</p><p><em>Перевод в СИ:</em></p><p>Площадь поперечного сечения: $S = 0,1 \text{ мм}^2 = 0,1 \cdot (10^{-3} \text{ м})^2 = 0,1 \cdot 10^{-6} \text{ м}^2 = 10^{-7} \text{ м}^2$.</p><p>Остальные величины уже даны в системе СИ.</p><p><strong>Найти:</strong></p><p>Напряжение на спирали, $\text{U}$</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Для нахождения напряжения на спирали воспользуемся законом Ома для участка цепи, который связывает напряжение, силу тока и сопротивление:</p><p>$U = I \cdot R$</p><p>где $\text{I}$ – сила тока, а $\text{R}$ – сопротивление спирали.</p><p><strong>2.</strong> Сопротивление спирали $\text{R}$ зависит от материала, длины и площади поперечного сечения проводника. Мы можем вычислить его по формуле:</p><p>$R = \rho \frac{l}{S}$</p><p>где $\rho$ – удельное электрическое сопротивление нихрома (табличная величина), $\text{l}$ – длина проволоки, $\text{S}$ – площадь ее поперечного сечения.</p><p><strong>3.</strong> Подставим значения, переведенные в систему СИ, в формулу для сопротивления:</p><p>$R = 1,1 \cdot 10^{-6} \text{ Ом} \cdot \text{м} \cdot \frac{4 \text{ м}}{10^{-7} \text{ м}^2} = 1,1 \cdot 4 \cdot 10^{-6 - (-7)} \text{ Ом} = 4,4 \cdot 10^{1} \text{ Ом} = 44 \text{ Ом}$</p><p><strong>4.</strong> Теперь, зная сопротивление спирали (44 Ом) и силу тока в ней (5 А), найдем напряжение по закону Ома:</p><p>$U = 5 \text{ А} \cdot 44 \text{ Ом} = 220 \text{ В}$</p><p><strong>Ответ:</strong> напряжение на спирали электронагревателя равно 220 В.</p>" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: 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№5 (с. 153)
Условие. №5 (с. 153)
скриншот условия
5. Электрическая плитка рассчитана на напряжение $220 \text{ В}$. Сопротивление её спирали равно $75 \text{ Ом}$. Найдите силу тока.
Решение. №5 (с. 153)
Дано:
Напряжение, $U = 220 \text{ В}$
Сопротивление, $R = 75 \text{ Ом}$
Все данные представлены в системе СИ.
Найти:
Силу тока, $\text{I}$
Решение:
Для определения силы тока, протекающего через спираль электрической плитки, мы можем использовать закон Ома для участка цепи. Этот закон устанавливает связь между силой тока ($\text{I}$), напряжением ($\text{U}$) и сопротивлением ($\text{R}$).
Формула закона Ома:
$I = \frac{U}{R}$
Подставим данные из условия задачи в эту формулу:
$I = \frac{220 \text{ В}}{75 \text{ Ом}}$
Выполним расчет:
$I \approx 2.933... \text{ А}$
Округлим результат до сотых для практического применения.
$I \approx 2.93 \text{ А}$
Ответ: сила тока в спирали электрической плитки составляет приблизительно $2.93 \text{ А}$.
Другие задания:
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