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Номер 2, страница 99 - гдз по физике 11 класс учебник Касьянов
Авторы: Касьянов В. А.
Тип: Учебник
Издательство: Просвещение, Дрофа
Год издания: 2019 - 2026
Уровень обучения: базовый
Цвет обложки: белый, красный
ISBN: 978-5-09-099511-5
Популярные ГДЗ в 11 классе
Глава 3. Электромагнетизм. Параграф 29. Свободные гармонические электромагнитные колебания. Творческие задания - номер 2, страница 99.
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" => 598290 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "99" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/29-3-2" "field_display_title" => "2" "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" => 597962 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Электромагнетизм" "field_branch_order" => "3" "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" => "74" "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" => 282 "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 {#1064 #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" => 5460 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "11" "field_cases" => array:6 [ "field_accusative_case" => "одиннадцатый" "field_creative_case" => "одиннадцатым" "field_dative_case" => "одиннадцатому" "field_genitive_case" => "одинадцатого" "field_nominative_case" => "одинадцатый" "field_prepositional_case" => "одиннадцатом" ] "field_translit" => "odinadcatyj" ] #original: array:6 [ "id" => 5460 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "11" "field_cases" => array:6 [ "field_accusative_case" => "одиннадцатый" "field_creative_case" => "одиннадцатым" "field_dative_case" => "одиннадцатому" "field_genitive_case" => "одинадцатого" "field_nominative_case" => "одинадцатый" "field_prepositional_case" => "одиннадцатом" ] "field_translit" => "odinadcatyj" ] #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 {#1060 #items: array:2 [ 0 => App\Models\Term {#1063 #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 => "*" ] } 1 => 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:6 [ "id" => 5148 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Дрофа" "field_cases" => null "field_translit" => "drofa" ] #original: array:6 [ "id" => 5148 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Дрофа" "field_cases" => null "field_translit" => "drofa" ] #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 {#1069 #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:12 [ "id" => 4566 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Касьянов" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Валерий" "field_patronymic" => "Алексеевич" "field_surname_rp" => null ] #original: array:12 [ "id" => 4566 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Касьянов" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Валерий" "field_patronymic" => "Алексеевич" "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 {#1068 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1072 #items: array:1 [ 0 => App\Models\Term {#1066 #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 {#1074 #items: array:1 [ 0 => App\Models\Term {#1071 #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 {#1076 #items: array:1 [ 0 => App\Models\Term {#1073 #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 {#1075 #items: [] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1070 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1080 #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 [ "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 {#1082 #items: array:1 [ 0 => App\Models\Term {#1079 #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" => 6706 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "ФГОС (старый)" "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" => null "field_end_year" => "2022" "field_start_year" => "2019" "field_translit" => "fgos-old" "field_type" => null ] #original: array:10 [ "id" => 6706 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "ФГОС (старый)" "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" => null "field_end_year" => "2022" "field_start_year" => "2019" "field_translit" => "fgos-old" "field_type" => 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_publication_number" => "10" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1084 #items: array:1 [ 0 => App\Models\Term {#1081 #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: 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Но наблюдать за опытами им кажется более увлекательным, чем решать сложные уравнения. Более того, есть ребята, которые так и не научились понимать, каким именно образом нужно выражать те или иные явления при помощи формул. Это весьма затрудняет работу над новым материалом. Благодаря справочнику <strong>ГДЗ по физике 11 класс Учебник Касьянов В.А. (Дрофа, Просвещение)</strong> можно значительно облегчить учебный процесс. </p> <p> Больше всего сложностей у учащихся связано с освоением следующих тем: </p> <ol> <li>Как измеряется сила тока и напряжения?</li> <li>Что такое электрический ток?</li> <li>Действие магнитного поля на движущиеся заряженные частицы.</li> <li>Электромагнитная индукция.</li> <li>Передача электроэнергии на расстояние.</li> </ol> <p> Труднее всего ученикам запомнить немалые объемы информации, что из чего проистекает. Соответственно, это затрудняет и работу над практическими упражнениями. 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Чтобы их избежать, стоит воспользоваться <strong>решебником Касьянова по физике за 11 класс</strong>. </p> <p> Систематически применяя онлайн-издание, ученики смогут: </p> <ol> <li>приобрести качественные знания, которые пригодятся в будущем;</li> <li>восполнить все имеющиеся упущения;</li> <li>улучшить оценки за домашние задания и работу на уроках;</li> <li>тщательно, но быстро прорабатывать допущенные ошибки.</li> </ol> <p> В решебнике значительно упрощена подача материала, так что сильно отставшие от программы ученики без особого труда справятся со всеми поставленными перед ними требованиями. Каждый пользователь получит возможность добиться отличных результатов, если внимательно изучит представленные в справочнике сведения. </p> <h2> Особенности строения решебника </h2> <p> Современные учебные пособия больше рассчитаны на закрепление уже полученных навыков, поэтому теория как таковая содержится в них в весьма сжатом виде. Школьникам часто приходится искать дополнительную информацию, чтобы понять, о чем идет речь в параграфах. Это отнимает много времени, которого у ребят по сути нет. Издание <strong>ГДЗ «Физика 11 класс Учебник Касьянов В.А.»</strong> упростит работу над дисциплиной и позволит лучше усвоить текущую программу. </p> <p> Представленная в электронном пособии информация оказывает такое влияние по нескольким причинам: </p> <ul> <li>она составлена опытными методистами;</li> <li>соответствует оригинальному учебнику и дополняет его;</li> <li>не имеет похожих аналогов;</li> <li>отвечает требованиям ФГОС.</li> </ul> <p> Для полноценного восприятия программы не стоит просто списывать из решебника, так как это не привьет понимания многочисленных деталей. Ученикам не стоит забывать о том, что работа со сборником призвана не заменить освоение теории, а разъяснить сложные моменты. 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"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 {#1115 #items: array:3 [ 0 => App\Models\Branch {#1125 #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" => 597962 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Электромагнетизм" "field_branch_order" => "3" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1126 #items: array:1 [ 0 => App\Models\Term {#1047} ] #escapeWhenCastingToString: false } "field_page_start" => "74" "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 {#1127 #items: array:1 [ 0 => App\Models\Book {#1057} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1128 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 597962 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Электромагнетизм" "field_branch_order" => "3" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1126} "field_page_start" => "74" "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 {#1127} "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 => "*" ] } 1 => App\Models\Branch {#1129 #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" => 597980 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Свободные гармонические электромагнитные колебания" "field_branch_order" => "29" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1133 #items: array:1 [ 0 => App\Models\Term {#1130 #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" => "94" "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 {#1132 #items: array:1 [ 0 => App\Models\Book {#1057} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1131 #items: array:1 [ 0 => App\Models\Branch {#1045} ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 597980 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Свободные гармонические электромагнитные колебания" "field_branch_order" => "29" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1133} "field_page_start" => "94" "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 {#1132} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1131} ] #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 {#1134 #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" => 597983 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Творческие задания" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1135 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "99" "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 {#1136 #items: array:1 [ 0 => App\Models\Book {#1057} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1145 #items: array:1 [ 0 => App\Models\Branch {#1144 #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" => 597980 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Свободные гармонические электромагнитные колебания" "field_branch_order" => "29" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1146 #items: array:1 [ 0 => App\Models\Term {#1130} ] #escapeWhenCastingToString: false } "field_page_start" => "94" "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 {#1147 #items: array:1 [ 0 => App\Models\Book {#1057} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1148 #items: array:1 [ 0 => App\Models\Branch {#1045} ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 597980 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Свободные гармонические электромагнитные колебания" "field_branch_order" => "29" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1146} "field_page_start" => "94" "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 {#1147} "branch_parent" => 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" => 597983 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Творческие задания" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1135} "field_page_start" => "99" "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 {#1136} "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 } "content" => Illuminate\Database\Eloquent\Collection {#1038 #items: array:2 [ 0 => App\Models\Element {#1107 #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" => 757701 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1098 #items: array:1 [ 0 => App\Models\Edition {#1106 #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" => 1660 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1105 #items: array:1 [ 0 => App\Models\Term {#1104 #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" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Автор" "field_moderator" => "pasha" "field_edition_type" => "statement" "field_root_dir" => "0-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1102 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1103 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1100 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 1660 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1105} "field_content_type" => "free" "field_content_mode" => "text, image" "field_page_content_mode" => "image" "field_content_text_checked" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Автор" "field_moderator" => "pasha" "field_edition_type" => "statement" "field_root_dir" => "0-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1102} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1103} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1100} "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" => "598290" "type" => "task" ] "text" => "<p><strong>2.</strong> Сделайте сравнительный анализ механической и электромагнитной колебательных систем. Оформите результат этого сравнения в виде таблицы.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "2-1.jpg" "alt" => null "width" => "970" "height" => 105 "path" => "/media/fizika_11/kasyanov-u-b-22/0-29-3/2-1.webp?ts=1738130758" ] ] ] #original: array:7 [ "id" => 757701 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1098} "task" => array:2 [ "refs" => "598290" "type" => "task" ] "text" => "<p><strong>2.</strong> Сделайте сравнительный анализ механической и электромагнитной колебательных систем. Оформите результат этого сравнения в виде таблицы.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "2-1.jpg" "alt" => null "width" => "970" "height" => 105 "path" => "/media/fizika_11/kasyanov-u-b-22/0-29-3/2-1.webp?ts=1738130758" ] ] ] #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 {#1101 #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" => 1477400 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1053 #items: array:1 [ 0 => App\Models\Edition {#1099 #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" => 5427 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение 2" "field_order" => "3" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1097 #items: array:1 [ 0 => App\Models\Term {#1096 #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" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Gemini 2.5 Pro" "field_moderator" => "tolik" "field_edition_type" => "solution" "field_root_dir" => "2-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1094 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1095 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1092 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 5427 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение 2" "field_order" => "3" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1097} "field_content_type" => "free" "field_content_mode" => "text" "field_page_content_mode" => "" "field_content_text_checked" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Gemini 2.5 Pro" "field_moderator" => "tolik" "field_edition_type" => "solution" "field_root_dir" => "2-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1094} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1095} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1092} "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" => "598290" "type" => "task" ] "text" => "<p>Сравнительный анализ механической и электромагнитной колебательных систем основан на формальной аналогии между физическими величинами, описывающими эти системы, и, как следствие, на идентичности математических уравнений, описывающих процессы колебаний. Наиболее наглядно эту аналогию можно представить в виде таблицы.</p><table border="1" style="width:100%; border-collapse: collapse; border-color: #333;"><thead><tr style="background-color: #f2f2f2;"><th style="padding: 10px; text-align: center; border: 1px solid #333;">Физическая характеристика или параметр</th><th style="padding: 10px; text-align: center; border: 1px solid #333;">Механическая колебательная система (пружинный маятник)</th><th style="padding: 10px; text-align: center; border: 1px solid #333;">Электромагнитная колебательная система (колебательный контур)</th></tr></thead><tbody><tr><td style="padding: 8px; border: 1px solid #333;">Колеблющаяся физическая величина</td><td style="padding: 8px; border: 1px solid #333;">Смещение от положения равновесия $x$</td><td style="padding: 8px; border: 1px solid #333;">Заряд на обкладках конденсатора $q$</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Скорость изменения величины (первая производная)</td><td style="padding: 8px; border: 1px solid #333;">Скорость движения тела $v = \frac{dx}{dt}$</td><td style="padding: 8px; border: 1px solid #333;">Сила тока в контуре $I = \frac{dq}{dt}$</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Параметр, характеризующий инертность системы</td><td style="padding: 8px; border: 1px solid #333;">Масса тела $m$</td><td style="padding: 8px; border: 1px solid #333;">Индуктивность катушки $L$</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Параметр, характеризующий упругость (возвращающую способность)</td><td style="padding: 8px; border: 1px solid #333;">Жесткость пружины $k$</td><td style="padding: 8px; border: 1px solid #333;">Величина, обратная электроемкости конденсатора, $1/C$</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Энергия, связанная с "движением" (инертностью)</td><td style="padding: 8px; border: 1px solid #333;">Кинетическая энергия $E_k = \frac{mv^2}{2}$</td><td style="padding: 8px; border: 1px solid #333;">Энергия магнитного поля $W_L = \frac{LI^2}{2}$</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Энергия, связанная с "положением" (упругостью)</td><td style="padding: 8px; border: 1px solid #333;">Потенциальная энергия $E_p = \frac{kx^2}{2}$</td><td style="padding: 8px; border: 1px solid #333;">Энергия электрического поля $W_C = \frac{q^2}{2C}$</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Параметр, характеризующий потери энергии (затухание)</td><td style="padding: 8px; border: 1px solid #333;">Коэффициент трения (сопротивления среды) $b$</td><td style="padding: 8px; border: 1px solid #333;">Активное сопротивление $R$</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Дифференциальное уравнение свободных незатухающих колебаний</td><td style="padding: 8px; border: 1px solid #333;">$m \frac{d^2x}{dt^2} + kx = 0$</td><td style="padding: 8px; border: 1px solid #333;">$L \frac{d^2q}{dt^2} + \frac{1}{C}q = 0$</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Собственная циклическая частота колебаний</td><td style="padding: 8px; border: 1px solid #333;">$\omega_0 = \sqrt{\frac{k}{m}}$</td><td style="padding: 8px; border: 1px solid #333;">$\omega_0 = \frac{1}{\sqrt{LC}}$</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Период свободных колебаний</td><td style="padding: 8px; border: 1px solid #333;">$T = 2\pi\sqrt{\frac{m}{k}}$</td><td style="padding: 8px; border: 1px solid #333;">$T = 2\pi\sqrt{LC}$ (формула Томсона)</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Дифференциальное уравнение свободных затухающих колебаний</td><td style="padding: 8px; border: 1px solid #333;">$m \frac{d^2x}{dt^2} + b \frac{dx}{dt} + kx = 0$</td><td style="padding: 8px; border: 1px solid #333;">$L \frac{d^2q}{dt^2} + R \frac{dq}{dt} + \frac{1}{C}q = 0$</td></tr></tbody></table><p><strong>Ответ:</strong> Сравнительный анализ механической и электромагнитной колебательных систем, представленный в виде таблицы, показывает глубокую аналогию между ними. Каждой физической величине и параметру в механической системе соответствует аналог в электромагнитной системе, что приводит к идентичной математической структуре уравнений, описывающих колебательные процессы в этих системах.</p>" ] #original: array:6 [ "id" => 1477400 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1053} "task" => array:2 [ "refs" => "598290" "type" => "task" ] "text" => "<p>Сравнительный анализ механической и электромагнитной колебательных систем основан на формальной аналогии между физическими величинами, описывающими эти системы, и, как следствие, на идентичности математических уравнений, описывающих процессы колебаний. Наиболее наглядно эту аналогию можно представить в виде таблицы.</p><table border="1" style="width:100%; border-collapse: collapse; border-color: #333;"><thead><tr style="background-color: #f2f2f2;"><th style="padding: 10px; text-align: center; border: 1px solid #333;">Физическая характеристика или параметр</th><th style="padding: 10px; text-align: center; border: 1px solid #333;">Механическая колебательная система (пружинный маятник)</th><th style="padding: 10px; text-align: center; border: 1px solid #333;">Электромагнитная колебательная система (колебательный контур)</th></tr></thead><tbody><tr><td style="padding: 8px; border: 1px solid #333;">Колеблющаяся физическая величина</td><td style="padding: 8px; border: 1px solid #333;">Смещение от положения равновесия $x$</td><td style="padding: 8px; border: 1px solid #333;">Заряд на обкладках конденсатора $q$</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Скорость изменения величины (первая производная)</td><td style="padding: 8px; border: 1px solid #333;">Скорость движения тела $v = \frac{dx}{dt}$</td><td style="padding: 8px; border: 1px solid #333;">Сила тока в контуре $I = \frac{dq}{dt}$</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Параметр, характеризующий инертность системы</td><td style="padding: 8px; border: 1px solid #333;">Масса тела $m$</td><td style="padding: 8px; border: 1px solid #333;">Индуктивность катушки $L$</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Параметр, характеризующий упругость (возвращающую способность)</td><td style="padding: 8px; border: 1px solid #333;">Жесткость пружины $k$</td><td style="padding: 8px; border: 1px solid #333;">Величина, обратная электроемкости конденсатора, $1/C$</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Энергия, связанная с "движением" (инертностью)</td><td style="padding: 8px; border: 1px solid #333;">Кинетическая энергия $E_k = \frac{mv^2}{2}$</td><td style="padding: 8px; border: 1px solid #333;">Энергия магнитного поля $W_L = \frac{LI^2}{2}$</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Энергия, связанная с "положением" (упругостью)</td><td style="padding: 8px; border: 1px solid #333;">Потенциальная энергия $E_p = \frac{kx^2}{2}$</td><td style="padding: 8px; border: 1px solid #333;">Энергия электрического поля $W_C = \frac{q^2}{2C}$</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Параметр, характеризующий потери энергии (затухание)</td><td style="padding: 8px; border: 1px solid #333;">Коэффициент трения (сопротивления среды) $b$</td><td style="padding: 8px; border: 1px solid #333;">Активное сопротивление $R$</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Дифференциальное уравнение свободных незатухающих колебаний</td><td style="padding: 8px; border: 1px solid #333;">$m \frac{d^2x}{dt^2} + kx = 0$</td><td style="padding: 8px; border: 1px solid #333;">$L \frac{d^2q}{dt^2} + \frac{1}{C}q = 0$</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Собственная циклическая частота колебаний</td><td style="padding: 8px; border: 1px solid #333;">$\omega_0 = \sqrt{\frac{k}{m}}$</td><td style="padding: 8px; border: 1px solid #333;">$\omega_0 = \frac{1}{\sqrt{LC}}$</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Период свободных колебаний</td><td style="padding: 8px; border: 1px solid #333;">$T = 2\pi\sqrt{\frac{m}{k}}$</td><td style="padding: 8px; border: 1px solid #333;">$T = 2\pi\sqrt{LC}$ (формула Томсона)</td></tr><tr><td style="padding: 8px; border: 1px solid #333;">Дифференциальное уравнение свободных затухающих колебаний</td><td style="padding: 8px; border: 1px solid #333;">$m \frac{d^2x}{dt^2} + b \frac{dx}{dt} + kx = 0$</td><td style="padding: 8px; border: 1px solid #333;">$L \frac{d^2q}{dt^2} + R \frac{dq}{dt} + \frac{1}{C}q = 0$</td></tr></tbody></table><p><strong>Ответ:</strong> Сравнительный анализ механической и электромагнитной колебательных систем, представленный в виде таблицы, показывает глубокую аналогию между ними. Каждой физической величине и параметру в механической системе соответствует аналог в электромагнитной системе, что приводит к идентичной математической структуре уравнений, описывающих колебательные процессы в этих системах.</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" => "598291" "type" => "task" ] "previous" => array:2 [ "refs" => "598289" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1111 #items: array:1 [ 0 => App\Models\Book {#1057} ] #escapeWhenCastingToString: false } "page" => Illuminate\Database\Eloquent\Collection {#1040 #items: array:1 [ 0 => App\Models\BookPage {#1112 #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" => 951266 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "99" "field_url" => "/11-klass/fizika/kasyanov/page-99" "field_display_title" => "99" "field_folder" => "1" "field_image_name" => "99" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1093 #items: [] #escapeWhenCastingToString: false } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1090 #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 {#1091 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1116 #items: array:1 [ 0 => App\Models\Element {#1039 #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" => 1126545 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1114 #items: array:1 [ 0 => App\Models\Edition {#1106} ] #escapeWhenCastingToString: false } "book_page" => array:2 [ "refs" => "951266" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "99-1.png" "alt" => null "width" => "1242" "height" => 1607 "path" => "/media/fizika_11/kasyanov-u-b-22/0-1/99-1.webp?ts=1744812222" ] ] ] #original: array:6 [ "id" => 1126545 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1114} "book_page" => array:2 [ "refs" => "951266" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "99-1.png" "alt" => null "width" => "1242" "height" => 1607 "path" => "/media/fizika_11/kasyanov-u-b-22/0-1/99-1.webp?ts=1744812222" ] ] ] #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" => "951267" "type" => "book_page" ] "previous" => array:2 [ "refs" => "951265" "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" => 598289 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "99" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/29-3-1" "field_display_title" => "1" "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 {#1125} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1223 #items: array:3 [ 0 => App\Models\Branch {#1125} 1 => App\Models\Branch {#1129} 2 => App\Models\Branch {#1134} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1225 #items: array:2 [ 0 => App\Models\Element {#1234 #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 [ …7] #original: array:7 [ …7] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } 1 => App\Models\Element {#1236 #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 [ …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 } "next" => array:2 [ "refs" => "598290" "type" => "task" ] "previous" => array:2 [ "refs" => "598288" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1231 #items: array:1 [ 0 => App\Models\Book {#1057} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "951266" "type" => "book_page" ] ] #original: array:24 [ "id" => 598289 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "99" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/29-3-1" "field_display_title" => "1" "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 {#1225} "next" => array:2 [ "refs" => "598290" "type" => "task" ] "previous" => array:2 [ "refs" => "598288" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1231} "page" => array:2 [ "refs" => "951266" "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" => 598290 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "99" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/29-3-2" "field_display_title" => "2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1224 #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 {#1233 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1229 #items: array:1 [ 0 => App\Models\Branch {#1125} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1227 #items: array:3 [ 0 => App\Models\Branch {#1125} 1 => App\Models\Branch {#1129} 2 => App\Models\Branch {#1134} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1230 #items: array:2 [ 0 => App\Models\Element {#1107} 1 => App\Models\Element {#1101} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "598291" "type" => "task" ] "previous" => array:2 [ "refs" => "598289" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1228 #items: array:1 [ 0 => App\Models\Book {#1057} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "951266" "type" => "book_page" ] ] #original: array:24 [ "id" => 598290 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "99" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/29-3-2" "field_display_title" => "2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1224} "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 {#1233} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1229} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1227} "content" => Illuminate\Database\Eloquent\Collection {#1230} "next" => array:2 [ "refs" => "598291" "type" => "task" ] "previous" => array:2 [ "refs" => "598289" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1228} "page" => array:2 [ "refs" => "951266" "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 {#1238 #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" => 598291 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "99" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/29-3-3" "field_display_title" => "3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1239 #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 {#1241 #items: array:1 [ 0 => App\Models\Branch {#1125} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1242 #items: array:3 [ 0 => App\Models\Branch {#1125} 1 => App\Models\Branch {#1129} 2 => App\Models\Branch {#1134} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1244 #items: array:2 [ 0 => App\Models\Element {#1253 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false …22 } 1 => App\Models\Element {#1255 …30} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "598292" "type" => "task" ] "previous" => array:2 [ "refs" => "598290" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1250 #items: array:1 [ 0 => App\Models\Book {#1057} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "951266" "type" => "book_page" ] ] #original: array:24 [ "id" => 598291 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "99" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/29-3-3" "field_display_title" => "3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1239} "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} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1241} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1242} "content" => Illuminate\Database\Eloquent\Collection {#1244} "next" => array:2 [ "refs" => "598292" "type" => "task" ] "previous" => array:2 [ "refs" => "598290" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1250} "page" => array:2 [ "refs" => "951266" "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" => 951266 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "99" "field_url" => "/11-klass/fizika/kasyanov/page-99" "field_display_title" => "99" "field_folder" => "1" "field_image_name" => "99" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1093} "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1090} "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 {#1091} "content" => Illuminate\Database\Eloquent\Collection {#1116} "next" => array:2 [ "refs" => "951267" "type" => "book_page" ] "previous" => array:2 [ "refs" => "951265" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1209} ] #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" => 598290 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "99" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/29-3-2" "field_display_title" => "2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1037} "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} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1046} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1115} "content" => Illuminate\Database\Eloquent\Collection {#1038} "next" => array:2 [ "refs" => "598291" "type" => "task" ] "previous" => array:2 [ "refs" => "598289" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1111} "page" => array:2 [ "refs" => "951266" "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 (с. 99)
Условие. №2 (с. 99)
скриншот условия
2. Сделайте сравнительный анализ механической и электромагнитной колебательных систем. Оформите результат этого сравнения в виде таблицы.
Решение 2. №2 (с. 99)
Сравнительный анализ механической и электромагнитной колебательных систем основан на формальной аналогии между физическими величинами, описывающими эти системы, и, как следствие, на идентичности математических уравнений, описывающих процессы колебаний. Наиболее наглядно эту аналогию можно представить в виде таблицы.
| Физическая характеристика или параметр | Механическая колебательная система (пружинный маятник) | Электромагнитная колебательная система (колебательный контур) |
|---|---|---|
| Колеблющаяся физическая величина | Смещение от положения равновесия $x$ | Заряд на обкладках конденсатора $q$ |
| Скорость изменения величины (первая производная) | Скорость движения тела $v = \frac{dx}{dt}$ | Сила тока в контуре $I = \frac{dq}{dt}$ |
| Параметр, характеризующий инертность системы | Масса тела $m$ | Индуктивность катушки $L$ |
| Параметр, характеризующий упругость (возвращающую способность) | Жесткость пружины $k$ | Величина, обратная электроемкости конденсатора, $1/C$ |
| Энергия, связанная с "движением" (инертностью) | Кинетическая энергия $E_k = \frac{mv^2}{2}$ | Энергия магнитного поля $W_L = \frac{LI^2}{2}$ |
| Энергия, связанная с "положением" (упругостью) | Потенциальная энергия $E_p = \frac{kx^2}{2}$ | Энергия электрического поля $W_C = \frac{q^2}{2C}$ |
| Параметр, характеризующий потери энергии (затухание) | Коэффициент трения (сопротивления среды) $b$ | Активное сопротивление $R$ |
| Дифференциальное уравнение свободных незатухающих колебаний | $m \frac{d^2x}{dt^2} + kx = 0$ | $L \frac{d^2q}{dt^2} + \frac{1}{C}q = 0$ |
| Собственная циклическая частота колебаний | $\omega_0 = \sqrt{\frac{k}{m}}$ | $\omega_0 = \frac{1}{\sqrt{LC}}$ |
| Период свободных колебаний | $T = 2\pi\sqrt{\frac{m}{k}}$ | $T = 2\pi\sqrt{LC}$ (формула Томсона) |
| Дифференциальное уравнение свободных затухающих колебаний | $m \frac{d^2x}{dt^2} + b \frac{dx}{dt} + kx = 0$ | $L \frac{d^2q}{dt^2} + R \frac{dq}{dt} + \frac{1}{C}q = 0$ |
Ответ: Сравнительный анализ механической и электромагнитной колебательных систем, представленный в виде таблицы, показывает глубокую аналогию между ними. Каждой физической величине и параметру в механической системе соответствует аналог в электромагнитной системе, что приводит к идентичной математической структуре уравнений, описывающих колебательные процессы в этих системах.
Другие задания:
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