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Номер 3, страница 89 - 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 26. Генерирование переменного электрического тока. Вопросы - номер 3, страница 89.
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" => 598265 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "89" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/26-1-3" "field_display_title" => "3" "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 [ …6] "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 [ …6] "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 {#1083 #items: array:1 [ 0 => App\Models\Book {#1049 #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 {#1051 #items: array:1 [ 0 => App\Models\Term {#1048 #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 [ …6] "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 [ …6] "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 {#1052 #items: array:1 [ 0 => App\Models\Term {#1053 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 5460 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "11" "field_cases" => array:6 [ …6] "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 [ …6] "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 {#1054 #items: array:2 [ 0 => App\Models\Term {#1055 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 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 {#1056 #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 {#1057 #items: array:1 [ 0 => App\Models\Term {#1058 #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 {#1059 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1060 #items: array:1 [ 0 => App\Models\Term {#1061 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array: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 [ …6] "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 [ …6] "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 {#1062 #items: array:1 [ 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" => 9 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Россия" "field_cases" => array:6 [ …6] "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 [ …6] "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 {#1064 #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:6 [ "id" => 15 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Москва" "field_cases" => array:6 [ …6] "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 [ …6] "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 {#1066 #items: [] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1067 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1068 #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" => 38 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "базовый" "field_cases" => array:6 [ …6] "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 [ …6] "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 {#1070 #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:10 [ "id" => 6706 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "ФГОС (старый)" "field_cases" => array:6 [ …6] "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 [ …6] "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 {#1072 #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" => 33 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "стереотипное" "field_cases" => array:6 [ …6] "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 [ …6] "field_translit" => "stereotipnoe" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1074 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2019" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "469" "field_priority" => "4" "field_default_folder" => "/fizika_11/kasyanov-u-b-22/" "field_isbn" => "978-5-09-099511-5" "field_cover" => array:1 [ 0 => "/media/fizika_11/kasyanov-u-b-22/covers/cover1.webp?ts=1738004253" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_11/kasyanov-u-b-22/covers/cover1.webp?ts=1738004253" "alt" => "" "width" => "2277" "height" => "3035" ] ] "field_popular_book" => null "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1075 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1076 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1077 #items: [] #escapeWhenCastingToString: false } "field_url" => "/11-klass/fizika/kasyanov" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1078 #items: array:2 [ 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:6 [ "id" => 45 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "белый" "field_cases" => array:6 [ …6] "field_translit" => "belyy" ] #original: array:6 [ "id" => 45 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "белый" "field_cases" => array:6 [ …6] "field_translit" => "belyy" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Term {#1080 #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" => 46 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "красный" "field_cases" => array:6 [ …6] "field_translit" => "krasnyy" ] #original: array:6 [ "id" => 46 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "красный" "field_cases" => array:6 [ …6] "field_translit" => "krasnyy" ] #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" => "<!--Текст в низу страницы--> <h2> Нюансы предмета с ГДЗ </h2> <p> Физика - очень интересный предмет, который нравится многим школьникам. 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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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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Illuminate\Database\Eloquent\Collection {#1132} "field_page_start" => "86" "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 {#1131} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1130} ] #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 {#1133 #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" => 597974 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Вопросы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1134 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "89" "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 {#1135 #items: array:1 [ 0 => App\Models\Book {#1049} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1144 #items: array:1 [ 0 => App\Models\Branch {#1143 #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" => 597973 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Генерирование переменного электрического тока" "field_branch_order" => "26" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1145 …2} "field_page_start" => "86" "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 {#1146 …2} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1147 …2} ] #original: array:24 [ "id" => 597973 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Генерирование переменного электрического тока" "field_branch_order" => "26" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1145 …2} "field_page_start" => "86" "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 {#1146 …2} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1147 …2} ] #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" => 597974 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Вопросы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1134} "field_page_start" => "89" "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 {#1135} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1144} ] #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 {#1100 #items: array:3 [ 0 => App\Models\Element {#1043 #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" => 757605 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1119 #items: array:1 [ 0 => App\Models\Edition {#1041 #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 {#1115 …2} "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 {#1113 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1120 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1122 …2} "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 {#1115 …2} "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 {#1113 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1120 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1122 …2} "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" => "598265" "type" => "task" ] "text" => "<p><strong>3.</strong> Нарисуйте один под другим графики зависимости от времени магнитного потока через вращающуюся рамку и ЭДС индукции в ней.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "3-1.jpg" "alt" => null "width" => "979" "height" => 107 "path" => "/media/fizika_11/kasyanov-u-b-22/0-26-1/3-1.webp?ts=1738130743" ] ] ] #original: array:7 [ "id" => 757605 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1119} "task" => array:2 [ "refs" => "598265" "type" => "task" ] "text" => "<p><strong>3.</strong> Нарисуйте один под другим графики зависимости от времени магнитного потока через вращающуюся рамку и ЭДС индукции в ней.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "3-1.jpg" "alt" => null "width" => "979" "height" => 107 "path" => "/media/fizika_11/kasyanov-u-b-22/0-26-1/3-1.webp?ts=1738130743" ] ] ] #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 {#1088 #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" => 757583 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1034 #items: array:1 [ 0 => App\Models\Edition {#1089 #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" => 1661 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1087 …2} "field_content_type" => "free" "field_content_mode" => "image" "field_page_content_mode" => "" "field_content_text_checked" => "0" "field_page_content_text_checked" => "0" "field_solution_author" => "Неизвестный" "field_moderator" => "anna" "field_edition_type" => "solution" "field_root_dir" => "1-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1086 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1082 …2} "field_process_formula" => "" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1084 …2} "field_content_source" => null ] #original: array:21 [ "id" => 1661 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1087 …2} "field_content_type" => "free" "field_content_mode" => "image" "field_page_content_mode" => "" "field_content_text_checked" => "0" "field_page_content_text_checked" => "0" "field_solution_author" => "Неизвестный" "field_moderator" => "anna" "field_edition_type" => "solution" "field_root_dir" => "1-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1086 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1082 …2} "field_process_formula" => "" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1084 …2} "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" => "598265" "type" => "task" ] "img" => array:1 [ 0 => array:5 [ "name" => "3-1.jpg" "alt" => null "width" => "700" "height" => 1011 "path" => "/media/fizika_11/kasyanov-u-b-22/1-26-1/3-1.webp?ts=1738130736" ] ] ] #original: array:6 [ "id" => 757583 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1034} "task" => array:2 [ "refs" => "598265" "type" => "task" ] "img" => array:1 [ 0 => array:5 [ "name" => "3-1.jpg" "alt" => null "width" => "700" "height" => 1011 "path" => "/media/fizika_11/kasyanov-u-b-22/1-26-1/3-1.webp?ts=1738130736" ] ] ] #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\Element {#1118 #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" => 1477375 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1148 #items: array:1 [ 0 => App\Models\Edition {#1116 #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 {#1137 …2} "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 {#1136 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1140 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1138 …2} "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 {#1137 …2} "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 {#1136 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1140 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1138 …2} "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" => "598265" "type" => "task" ] "text" => "<p><strong>Решение</strong></p><p>Рассмотрим проводящую рамку площадью $S$, которая вращается с постоянной угловой скоростью $\omega$ в однородном магнитном поле с индукцией $B$.</p><p><strong>График зависимости магнитного потока от времени</strong></p><p>Магнитный поток $\Phi$ через поверхность рамки определяется как произведение модуля вектора магнитной индукции $B$ на площадь рамки $S$ и на косинус угла $\alpha$ между вектором магнитной индукции $\vec{B}$ и вектором нормали $\vec{n}$ к плоскости рамки:</p><p>$\Phi = B S \cos \alpha$</p><p>При равномерном вращении рамки угол $\alpha$ изменяется со временем по линейному закону: $\alpha = \omega t$ (при условии, что в начальный момент времени $t=0$ угол $\alpha=0$, то есть плоскость рамки перпендикулярна линиям магнитной индукции).</p><p>Тогда зависимость магнитного потока от времени принимает вид:</p><p>$\Phi(t) = B S \cos(\omega t)$</p><p>Это гармоническое колебание, происходящее по закону косинуса. Амплитудное (максимальное) значение магнитного потока равно $\Phi_{max} = B S$. Таким образом, окончательная формула:</p><p>$\Phi(t) = \Phi_{max} \cos(\omega t)$</p><p><strong>График зависимости ЭДС индукции от времени</strong></p><p>Согласно закону электромагнитной индукции Фарадея, электродвижущая сила (ЭДС) индукции $\mathcal{E}$, возникающая в рамке, равна скорости изменения магнитного потока через рамку, взятой с противоположным знаком:</p><p>$\mathcal{E}(t) = - \frac{d\Phi(t)}{dt}$</p><p>Для нахождения этой зависимости необходимо взять производную от функции магнитного потока по времени:</p><p>$\mathcal{E}(t) = - \frac{d}{dt} (\Phi_{max} \cos(\omega t)) = - \Phi_{max} \cdot (-\omega \sin(\omega t)) = \Phi_{max} \omega \sin(\omega t)$</p><p>Амплитуда ЭДС индукции равна $\mathcal{E}_{max} = \Phi_{max} \omega = B S \omega$. Тогда зависимость ЭДС от времени имеет вид:</p><p>$\mathcal{E}(t) = \mathcal{E}_{max} \sin(\omega t)$</p><p>Это также гармоническое колебание, но происходящее по закону синуса.</p><p>Сравнивая функции $\Phi(t)$ и $\mathcal{E}(t)$, можно заметить, что колебания ЭДС индукции опережают по фазе колебания магнитного потока на $\frac{\pi}{2}$ (или 90°).</p><ul><li>Когда магнитный поток максимален (рамка перпендикулярна полю, $\cos(\omega t) = \pm 1$), его скорость изменения равна нулю, и ЭДС индукции равна нулю.</li><li>Когда магнитный поток равен нулю (рамка параллельна полю, $\cos(\omega t) = 0$), его скорость изменения максимальна, и ЭДС индукции достигает своего амплитудного значения.</li></ul><p>Графики зависимостей $\Phi(t)$ и $\mathcal{E}(t)$ представляют собой косинусоиду и синусоиду соответственно, сдвинутые по фазе на $\frac{\pi}{2}$.</p><svg width="500" height="420" viewBox="0 0 500 420" xmlns="http://www.w3.org/2000/svg" style="font-family: Arial, sans-serif; font-size: 14px;"><!-- Graph 1: Magnetic Flux (Φ) --><g id="graph-flux"><!-- Axes --><line x1="50" y1="20" x2="50" y2="180" stroke="black" stroke-width="1.5"></line><line x1="50" y1="100" x2="450" y2="100" stroke="black" stroke-width="1.5"></line><!-- Arrowheads --><polygon points="50,10 45,20 55,20" fill="black"></polygon><polygon points="460,100 450,95 450,105" fill="black"></polygon><!-- Axis Labels --><text x="60" y="30" fill="black" font-size="16">Φ</text><text x="465" y="105" fill="black" font-size="16">t</text><text x="35" y="105" fill="black">0</text><!-- Cosine Curve --><path d="M 50 60 C 90 60, 90 100, 130 100 C 170 100, 170 140, 210 140 C 250 140, 250 100, 290 100 C 330 100, 330 60, 370 60" stroke="#007bff" stroke-width="2.5" fill="none"></path><!-- Time Ticks --><line x1="130" y1="95" x2="130" y2="105" stroke="black"></line><text x="120" y="120">T/4</text><line x1="210" y1="95" x2="210" y2="105" stroke="black"></line><text x="200" y="120">T/2</text><line x1="290" y1="95" x2="290" y2="105" stroke="black"></line><text x="275" y="120">3T/4</text><line x1="370" y1="95" x2="370" y2="105" stroke="black"></line><text x="365" y="120">T</text><!-- Amplitude Labels --><line x1="45" y1="60" x2="55" y2="60" stroke="black"></line><text x="10" y="65">Φ<tspan dy="5" font-size="10">max</tspan></text><line x1="45" y1="140" x2="55" y2="140" stroke="black"></line><text x="0" y="145">-Φ<tspan dy="5" font-size="10">max</tspan></text></g><!-- Graph 2: EMF (ℰ) --><g id="graph-emf" transform="translate(0, 200)"><!-- Axes --><line x1="50" y1="20" x2="50" y2="180" stroke="black" stroke-width="1.5"></line><line x1="50" y1="100" x2="450" y2="100" stroke="black" stroke-width="1.5"></line><!-- Arrowheads --><polygon points="50,10 45,20 55,20" fill="black"></polygon><polygon points="460,100 450,95 450,105" fill="black"></polygon><!-- Axis Labels --><text x="60" y="30" fill="black" font-size="16">ℰ</text><text x="465" y="105" fill="black" font-size="16">t</text><text x="35" y="105" fill="black">0</text><!-- Sine Curve --><path d="M 50 100 C 90 100, 90 60, 130 60 C 170 60, 170 100, 210 100 C 250 100, 250 140, 290 140 C 330 140, 330 100, 370 100" stroke="#dc3545" stroke-width="2.5" fill="none"></path><!-- Time Ticks --><line x1="130" y1="95" x2="130" y2="105" stroke="black"></line><text x="120" y="120">T/4</text><line x1="210" y1="95" x2="210" y2="105" stroke="black"></line><text x="200" y="120">T/2</text><line x1="290" y1="95" x2="290" y2="105" stroke="black"></line><text x="275" y="120">3T/4</text><line x1="370" y1="95" x2="370" y2="105" stroke="black"></line><text x="365" y="120">T</text><!-- Amplitude Labels --><line x1="45" y1="60" x2="55" y2="60" stroke="black"></line><text x="10" y="65">ℰ<tspan dy="5" font-size="10">max</tspan></text><line x1="45" y1="140" x2="55" y2="140" stroke="black"></line><text x="0" y="145">-ℰ<tspan dy="5" font-size="10">max</tspan></text></g></svg><p><strong>Ответ:</strong></p><p>График зависимости магнитного потока от времени $\Phi(t)$ через вращающуюся рамку является косинусоидой, описываемой функцией $\Phi(t) = \Phi_{max} \cos(\omega t)$. График зависимости ЭДС индукции от времени $\mathcal{E}(t)$ в этой рамке является синусоидой, описываемой функцией $\mathcal{E}(t) = \mathcal{E}_{max} \sin(\omega t)$. Колебания ЭДС опережают по фазе колебания магнитного потока на $\pi/2$. Наглядное представление графиков приведено выше.</p>" ] #original: array:6 [ "id" => 1477375 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1148} "task" => array:2 [ "refs" => "598265" "type" => "task" ] "text" => "<p><strong>Решение</strong></p><p>Рассмотрим проводящую рамку площадью $S$, которая вращается с постоянной угловой скоростью $\omega$ в однородном магнитном поле с индукцией $B$.</p><p><strong>График зависимости магнитного потока от времени</strong></p><p>Магнитный поток $\Phi$ через поверхность рамки определяется как произведение модуля вектора магнитной индукции $B$ на площадь рамки $S$ и на косинус угла $\alpha$ между вектором магнитной индукции $\vec{B}$ и вектором нормали $\vec{n}$ к плоскости рамки:</p><p>$\Phi = B S \cos \alpha$</p><p>При равномерном вращении рамки угол $\alpha$ изменяется со временем по линейному закону: $\alpha = \omega t$ (при условии, что в начальный момент времени $t=0$ угол $\alpha=0$, то есть плоскость рамки перпендикулярна линиям магнитной индукции).</p><p>Тогда зависимость магнитного потока от времени принимает вид:</p><p>$\Phi(t) = B S \cos(\omega t)$</p><p>Это гармоническое колебание, происходящее по закону косинуса. Амплитудное (максимальное) значение магнитного потока равно $\Phi_{max} = B S$. Таким образом, окончательная формула:</p><p>$\Phi(t) = \Phi_{max} \cos(\omega t)$</p><p><strong>График зависимости ЭДС индукции от времени</strong></p><p>Согласно закону электромагнитной индукции Фарадея, электродвижущая сила (ЭДС) индукции $\mathcal{E}$, возникающая в рамке, равна скорости изменения магнитного потока через рамку, взятой с противоположным знаком:</p><p>$\mathcal{E}(t) = - \frac{d\Phi(t)}{dt}$</p><p>Для нахождения этой зависимости необходимо взять производную от функции магнитного потока по времени:</p><p>$\mathcal{E}(t) = - \frac{d}{dt} (\Phi_{max} \cos(\omega t)) = - \Phi_{max} \cdot (-\omega \sin(\omega t)) = \Phi_{max} \omega \sin(\omega t)$</p><p>Амплитуда ЭДС индукции равна $\mathcal{E}_{max} = \Phi_{max} \omega = B S \omega$. Тогда зависимость ЭДС от времени имеет вид:</p><p>$\mathcal{E}(t) = \mathcal{E}_{max} \sin(\omega t)$</p><p>Это также гармоническое колебание, но происходящее по закону синуса.</p><p>Сравнивая функции $\Phi(t)$ и $\mathcal{E}(t)$, можно заметить, что колебания ЭДС индукции опережают по фазе колебания магнитного потока на $\frac{\pi}{2}$ (или 90°).</p><ul><li>Когда магнитный поток максимален (рамка перпендикулярна полю, $\cos(\omega t) = \pm 1$), его скорость изменения равна нулю, и ЭДС индукции равна нулю.</li><li>Когда магнитный поток равен нулю (рамка параллельна полю, $\cos(\omega t) = 0$), его скорость изменения максимальна, и ЭДС индукции достигает своего амплитудного значения.</li></ul><p>Графики зависимостей $\Phi(t)$ и $\mathcal{E}(t)$ представляют собой косинусоиду и синусоиду соответственно, сдвинутые по фазе на $\frac{\pi}{2}$.</p><svg width="500" height="420" viewBox="0 0 500 420" xmlns="http://www.w3.org/2000/svg" style="font-family: Arial, sans-serif; font-size: 14px;"><!-- Graph 1: Magnetic Flux (Φ) --><g id="graph-flux"><!-- Axes --><line x1="50" y1="20" x2="50" y2="180" stroke="black" stroke-width="1.5"></line><line x1="50" y1="100" x2="450" y2="100" stroke="black" stroke-width="1.5"></line><!-- Arrowheads --><polygon points="50,10 45,20 55,20" fill="black"></polygon><polygon points="460,100 450,95 450,105" fill="black"></polygon><!-- Axis Labels --><text x="60" y="30" fill="black" font-size="16">Φ</text><text x="465" y="105" fill="black" font-size="16">t</text><text x="35" y="105" fill="black">0</text><!-- Cosine Curve --><path d="M 50 60 C 90 60, 90 100, 130 100 C 170 100, 170 140, 210 140 C 250 140, 250 100, 290 100 C 330 100, 330 60, 370 60" stroke="#007bff" stroke-width="2.5" fill="none"></path><!-- Time Ticks --><line x1="130" y1="95" x2="130" y2="105" stroke="black"></line><text x="120" y="120">T/4</text><line x1="210" y1="95" x2="210" y2="105" stroke="black"></line><text x="200" y="120">T/2</text><line x1="290" y1="95" x2="290" y2="105" stroke="black"></line><text x="275" y="120">3T/4</text><line x1="370" y1="95" x2="370" y2="105" stroke="black"></line><text x="365" y="120">T</text><!-- Amplitude Labels --><line x1="45" y1="60" x2="55" y2="60" stroke="black"></line><text x="10" y="65">Φ<tspan dy="5" font-size="10">max</tspan></text><line x1="45" y1="140" x2="55" y2="140" stroke="black"></line><text x="0" y="145">-Φ<tspan dy="5" font-size="10">max</tspan></text></g><!-- Graph 2: EMF (ℰ) --><g id="graph-emf" transform="translate(0, 200)"><!-- Axes --><line x1="50" y1="20" x2="50" y2="180" stroke="black" stroke-width="1.5"></line><line x1="50" y1="100" x2="450" y2="100" stroke="black" stroke-width="1.5"></line><!-- Arrowheads --><polygon points="50,10 45,20 55,20" fill="black"></polygon><polygon points="460,100 450,95 450,105" fill="black"></polygon><!-- Axis Labels --><text x="60" y="30" fill="black" font-size="16">ℰ</text><text x="465" y="105" fill="black" font-size="16">t</text><text x="35" y="105" fill="black">0</text><!-- Sine Curve --><path d="M 50 100 C 90 100, 90 60, 130 60 C 170 60, 170 100, 210 100 C 250 100, 250 140, 290 140 C 330 140, 330 100, 370 100" stroke="#dc3545" stroke-width="2.5" fill="none"></path><!-- Time Ticks --><line x1="130" y1="95" x2="130" y2="105" stroke="black"></line><text x="120" y="120">T/4</text><line x1="210" y1="95" x2="210" y2="105" stroke="black"></line><text x="200" y="120">T/2</text><line x1="290" y1="95" x2="290" y2="105" stroke="black"></line><text x="275" y="120">3T/4</text><line x1="370" y1="95" x2="370" y2="105" stroke="black"></line><text x="365" y="120">T</text><!-- Amplitude Labels --><line x1="45" y1="60" x2="55" y2="60" stroke="black"></line><text x="10" y="65">ℰ<tspan dy="5" font-size="10">max</tspan></text><line x1="45" y1="140" x2="55" y2="140" stroke="black"></line><text x="0" y="145">-ℰ<tspan dy="5" font-size="10">max</tspan></text></g></svg><p><strong>Ответ:</strong></p><p>График зависимости магнитного потока от времени $\Phi(t)$ через вращающуюся рамку является косинусоидой, описываемой функцией $\Phi(t) = \Phi_{max} \cos(\omega t)$. График зависимости ЭДС индукции от времени $\mathcal{E}(t)$ в этой рамке является синусоидой, описываемой функцией $\mathcal{E}(t) = \mathcal{E}_{max} \sin(\omega t)$. Колебания ЭДС опережают по фазе колебания магнитного потока на $\pi/2$. Наглядное представление графиков приведено выше.</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" => "598266" "type" => "task" ] "previous" => array:2 [ "refs" => "598264" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1091 #items: array:1 [ 0 => App\Models\Book {#1049} ] #escapeWhenCastingToString: false } "page" => Illuminate\Database\Eloquent\Collection {#1105 #items: array:1 [ 0 => App\Models\BookPage {#1104 #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" => 951256 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "89" "field_url" => "/11-klass/fizika/kasyanov/page-89" "field_display_title" => "89" "field_folder" => "1" "field_image_name" => "89" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1103 #items: [] #escapeWhenCastingToString: false } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1121 #items: array:1 [ 0 => App\Models\Book {#1049} ] #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 {#1112 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1092 #items: array:1 [ 0 => App\Models\Element {#1094 #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" => 1126535 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1096 …2} "book_page" => array:2 [ …2] "img" => array:1 [ …1] ] #original: array:6 [ "id" => 1126535 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1096 …2} "book_page" => array:2 [ …2] "img" => array:1 [ …1] ] #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" => "951257" "type" => "book_page" ] "previous" => array:2 [ "refs" => "951255" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1573 #items: array:8 [ 0 => App\Models\Task {#1587 #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" => 598263 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "89" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/26-1-1" "field_display_title" => "1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1588 …2} "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 {#1589 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1590 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1591 …2} "content" => Illuminate\Database\Eloquent\Collection {#1609 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1616 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 598263 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "89" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/26-1-1" "field_display_title" => "1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1588 …2} "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 {#1589 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1590 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1591 …2} "content" => Illuminate\Database\Eloquent\Collection {#1609 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1616 …2} "page" => array:2 [ …2] ] #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 {#1600 #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" => 598264 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "89" "field_page_end" => null "field_url" => 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№3 (с. 89)
Условие. №3 (с. 89)
скриншот условия
3. Нарисуйте один под другим графики зависимости от времени магнитного потока через вращающуюся рамку и ЭДС индукции в ней.
Решение. №3 (с. 89)
Решение 2. №3 (с. 89)
Решение
Рассмотрим проводящую рамку площадью $S$, которая вращается с постоянной угловой скоростью $\omega$ в однородном магнитном поле с индукцией $B$.
График зависимости магнитного потока от времени
Магнитный поток $\Phi$ через поверхность рамки определяется как произведение модуля вектора магнитной индукции $B$ на площадь рамки $S$ и на косинус угла $\alpha$ между вектором магнитной индукции $\vec{B}$ и вектором нормали $\vec{n}$ к плоскости рамки:
$\Phi = B S \cos \alpha$
При равномерном вращении рамки угол $\alpha$ изменяется со временем по линейному закону: $\alpha = \omega t$ (при условии, что в начальный момент времени $t=0$ угол $\alpha=0$, то есть плоскость рамки перпендикулярна линиям магнитной индукции).
Тогда зависимость магнитного потока от времени принимает вид:
$\Phi(t) = B S \cos(\omega t)$
Это гармоническое колебание, происходящее по закону косинуса. Амплитудное (максимальное) значение магнитного потока равно $\Phi_{max} = B S$. Таким образом, окончательная формула:
$\Phi(t) = \Phi_{max} \cos(\omega t)$
График зависимости ЭДС индукции от времени
Согласно закону электромагнитной индукции Фарадея, электродвижущая сила (ЭДС) индукции $\mathcal{E}$, возникающая в рамке, равна скорости изменения магнитного потока через рамку, взятой с противоположным знаком:
$\mathcal{E}(t) = - \frac{d\Phi(t)}{dt}$
Для нахождения этой зависимости необходимо взять производную от функции магнитного потока по времени:
$\mathcal{E}(t) = - \frac{d}{dt} (\Phi_{max} \cos(\omega t)) = - \Phi_{max} \cdot (-\omega \sin(\omega t)) = \Phi_{max} \omega \sin(\omega t)$
Амплитуда ЭДС индукции равна $\mathcal{E}_{max} = \Phi_{max} \omega = B S \omega$. Тогда зависимость ЭДС от времени имеет вид:
$\mathcal{E}(t) = \mathcal{E}_{max} \sin(\omega t)$
Это также гармоническое колебание, но происходящее по закону синуса.
Сравнивая функции $\Phi(t)$ и $\mathcal{E}(t)$, можно заметить, что колебания ЭДС индукции опережают по фазе колебания магнитного потока на $\frac{\pi}{2}$ (или 90°).
- Когда магнитный поток максимален (рамка перпендикулярна полю, $\cos(\omega t) = \pm 1$), его скорость изменения равна нулю, и ЭДС индукции равна нулю.
- Когда магнитный поток равен нулю (рамка параллельна полю, $\cos(\omega t) = 0$), его скорость изменения максимальна, и ЭДС индукции достигает своего амплитудного значения.
Графики зависимостей $\Phi(t)$ и $\mathcal{E}(t)$ представляют собой косинусоиду и синусоиду соответственно, сдвинутые по фазе на $\frac{\pi}{2}$.
Ответ:
График зависимости магнитного потока от времени $\Phi(t)$ через вращающуюся рамку является косинусоидой, описываемой функцией $\Phi(t) = \Phi_{max} \cos(\omega t)$. График зависимости ЭДС индукции от времени $\mathcal{E}(t)$ в этой рамке является синусоидой, описываемой функцией $\mathcal{E}(t) = \mathcal{E}_{max} \sin(\omega t)$. Колебания ЭДС опережают по фазе колебания магнитного потока на $\pi/2$. Наглядное представление графиков приведено выше.
Другие задания:
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