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Номер 3, страница 66 - 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 2. Магнитное поле. Параграф 20. Магнитный поток. Задачи - номер 3, страница 66.
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" => 598225 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "66" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/20-2-3" "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" => 597935 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Магнитное поле" "field_branch_order" => "2" "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" => "38" "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. В итоге, даже при большом интересе к непростой науке, у многих подростков наблюдаются проблемы с успеваемостью. Чтобы не испортить себе аттестат плохими оценками и приобрести необходимые навыки, старшеклассникам стоит воспользоваться решебником. </p> <h2> Польза ГДЗ для выпускников </h2> <p> Ребятам приходится много внимания уделять подготовке к экзаменам. Из-за этого они очень мало работают над другими предметами, особенно теми, которые кажутся не такими уж сложными. С первого взгляда физика представляется достаточно простой, ведь со всеми изучаемыми явлениями ребята в той или иной мере уже знакомы. Однако это ошибочное мнение нередко становится причиной появления крупных пробелов. 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. В итоге, даже при большом интересе к непростой науке, у многих подростков наблюдаются проблемы с успеваемостью. Чтобы не испортить себе аттестат плохими оценками и приобрести необходимые навыки, старшеклассникам стоит воспользоваться решебником. </p> <h2> Польза ГДЗ для выпускников </h2> <p> Ребятам приходится много внимания уделять подготовке к экзаменам. Из-за этого они очень мало работают над другими предметами, особенно теми, которые кажутся не такими уж сложными. С первого взгляда физика представляется достаточно простой, ведь со всеми изучаемыми явлениями ребята в той или иной мере уже знакомы. Однако это ошибочное мнение нередко становится причиной появления крупных пробелов. 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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#escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1196 #items: array:1 [ 0 => App\Models\Branch {#1045} ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 597955 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Магнитный поток" "field_branch_order" => "20" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1198} "field_page_start" => "64" "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 {#1197} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1196} ] #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 {#1199 #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" => 597957 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Задачи" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1200 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "66" "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 {#1201 #items: array:1 [ 0 => App\Models\Book {#1049} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1210 #items: array:1 [ 0 => App\Models\Branch {#1209 #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" => 597955 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Магнитный поток" "field_branch_order" => "20" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1211 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_page_start" => "64" "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 {#1212 #items: array:1 [ …1] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1213 #items: array:1 [ …1] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 597955 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Магнитный поток" "field_branch_order" => "20" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1211} "field_page_start" => "64" "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 {#1212} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1213} ] #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" => 597957 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Задачи" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1200} "field_page_start" => "66" "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 {#1201} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1210} ] #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 {#1140 #items: array:3 [ 0 => App\Models\Element {#1130 #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" => 757443 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1160 #items: array:1 [ 0 => App\Models\Edition {#1165 #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 {#1164 #items: 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 {#1163 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1125 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1162 #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 {#1164} "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 {#1163} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1125} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1162} "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" => "598225" "type" => "task" ] "text" => "<p><strong>3.</strong> Проволочное кольцо радиусом $R$, находящееся в плоскости чертежа, поворачивается на 180° относительно вертикальной оси (рис. 63). Индукция магнитного поля $\vec{B}$ перпендикулярна плоскости чертежа. Найдите изменение магнитного потока сквозь кольцо в результате его поворота.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "3-1.jpg" "alt" => null "width" => "970" "height" => 173 "path" => "/media/fizika_11/kasyanov-u-b-22/0-20-2/3-1.webp?ts=1738130730" ] ] ] #original: array:7 [ "id" => 757443 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1160} "task" => array:2 [ "refs" => "598225" "type" => "task" ] "text" => "<p><strong>3.</strong> Проволочное кольцо радиусом $R$, находящееся в плоскости чертежа, поворачивается на 180° относительно вертикальной оси (рис. 63). Индукция магнитного поля $\vec{B}$ перпендикулярна плоскости чертежа. Найдите изменение магнитного потока сквозь кольцо в результате его поворота.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "3-1.jpg" "alt" => null "width" => "970" "height" => 173 "path" => "/media/fizika_11/kasyanov-u-b-22/0-20-2/3-1.webp?ts=1738130730" ] ] ] #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 {#1123 #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" => 757462 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1145 #items: array:1 [ 0 => App\Models\Edition {#1122 #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 {#1159 …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 {#1118 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1155 …2} "field_process_formula" => "" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1156 …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 {#1159 …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 {#1118 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1155 …2} "field_process_formula" => "" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1156 …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" => "598225" "type" => "task" ] "img" => array:1 [ 0 => array:5 [ "name" => "3-1.jpg" "alt" => null "width" => "700" "height" => 1916 "path" => "/media/fizika_11/kasyanov-u-b-22/1-20-2/3-1.webp?ts=1738130722" ] ] ] #original: array:6 [ "id" => 757462 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1145} "task" => array:2 [ "refs" => "598225" "type" => "task" ] "img" => array:1 [ 0 => array:5 [ "name" => "3-1.jpg" "alt" => null "width" => "700" "height" => 1916 "path" => "/media/fizika_11/kasyanov-u-b-22/1-20-2/3-1.webp?ts=1738130722" ] ] ] #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 {#1152 #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" => 1477335 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1134 #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 {#1143 …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 {#1142 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1141 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1139 …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 {#1143 …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 {#1142 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1141 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1139 …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" => "598225" "type" => "task" ] "text" => "<p><strong>Дано:</strong></p><p>Радиус кольца: $R$</p><p>Индукция магнитного поля: $B$</p><p>Угол поворота: $180^\circ$</p><p>Начальное положение: вектор индукции $\vec{B}$ перпендикулярен плоскости кольца.</p><p><strong>Найти:</strong></p><p>Изменение магнитного потока: $\Delta \Phi$</p><p><strong>Решение:</strong></p><p>Магнитный поток $\Phi$ через плоский контур определяется формулой:</p><p>$\Phi = B \cdot S \cdot \cos \alpha$</p><p>где $B$ – модуль вектора магнитной индукции, $S$ – площадь контура, а $\alpha$ – угол между вектором магнитной индукции $\vec{B}$ и вектором нормали (перпендикуляром) $\vec{n}$ к плоскости контура.</p><p>Площадь кольца радиусом $R$ равна:</p><p>$S = \pi R^2$</p><p><strong>1.</strong> <em>Начальное состояние (до поворота).</em></p><p>Вектор магнитной индукции $\vec{B}$ перпендикулярен плоскости кольца. Выберем направление нормали $\vec{n}$ к плоскости кольца так, чтобы оно совпадало с направлением вектора $\vec{B}$. В этом случае угол между ними $\alpha_1 = 0^\circ$.</p><p>Тогда начальный магнитный поток $\Phi_1$ равен:</p><p>$\Phi_1 = B \cdot S \cdot \cos(0^\circ) = B \cdot S \cdot 1 = B S = B \pi R^2$</p><p><strong>2.</strong> <em>Конечное состояние (после поворота).</em></p><p>Кольцо поворачивается на $180^\circ$ относительно вертикальной оси. Вместе с кольцом поворачивается и вектор нормали $\vec{n}$. После поворота на $180^\circ$ вектор нормали будет направлен в сторону, противоположную его начальному направлению.</p><p>Теперь угол между вектором магнитной индукции $\vec{B}$ и новым направлением нормали $\vec{n'}$ составляет $\alpha_2 = 180^\circ$.</p><p>Конечный магнитный поток $\Phi_2$ равен:</p><p>$\Phi_2 = B \cdot S \cdot \cos(180^\circ) = B \cdot S \cdot (-1) = -B S = -B \pi R^2$</p><p><strong>3.</strong> <em>Изменение магнитного потока.</em></p><p>Изменение магнитного потока $\Delta \Phi$ равно разности между конечным и начальным потоками:</p><p>$\Delta \Phi = \Phi_2 - \Phi_1 = (-B \pi R^2) - (B \pi R^2) = -2 B \pi R^2$</p><p>Знак минус указывает, что поток уменьшился (в алгебраическом смысле). Модуль изменения потока равен $2 B \pi R^2$. Если бы мы изначально выбрали направление нормали противоположно вектору $\vec{B}$, то начальный поток был бы отрицательным, конечный — положительным, а изменение потока получилось бы $\Delta \Phi = 2 B \pi R^2$. Оба ответа корректны и отличаются только знаком, который зависит от выбора направления нормали.</p><p><strong>Ответ:</strong> $\Delta \Phi = -2 \pi R^2 B$ (или $2 \pi R^2 B$ в зависимости от выбора направления нормали).</p>" ] #original: array:6 [ "id" => 1477335 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1134} "task" => array:2 [ "refs" => "598225" "type" => "task" ] "text" => "<p><strong>Дано:</strong></p><p>Радиус кольца: $R$</p><p>Индукция магнитного поля: $B$</p><p>Угол поворота: $180^\circ$</p><p>Начальное положение: вектор индукции $\vec{B}$ перпендикулярен плоскости кольца.</p><p><strong>Найти:</strong></p><p>Изменение магнитного потока: $\Delta \Phi$</p><p><strong>Решение:</strong></p><p>Магнитный поток $\Phi$ через плоский контур определяется формулой:</p><p>$\Phi = B \cdot S \cdot \cos \alpha$</p><p>где $B$ – модуль вектора магнитной индукции, $S$ – площадь контура, а $\alpha$ – угол между вектором магнитной индукции $\vec{B}$ и вектором нормали (перпендикуляром) $\vec{n}$ к плоскости контура.</p><p>Площадь кольца радиусом $R$ равна:</p><p>$S = \pi R^2$</p><p><strong>1.</strong> <em>Начальное состояние (до поворота).</em></p><p>Вектор магнитной индукции $\vec{B}$ перпендикулярен плоскости кольца. Выберем направление нормали $\vec{n}$ к плоскости кольца так, чтобы оно совпадало с направлением вектора $\vec{B}$. В этом случае угол между ними $\alpha_1 = 0^\circ$.</p><p>Тогда начальный магнитный поток $\Phi_1$ равен:</p><p>$\Phi_1 = B \cdot S \cdot \cos(0^\circ) = B \cdot S \cdot 1 = B S = B \pi R^2$</p><p><strong>2.</strong> <em>Конечное состояние (после поворота).</em></p><p>Кольцо поворачивается на $180^\circ$ относительно вертикальной оси. Вместе с кольцом поворачивается и вектор нормали $\vec{n}$. После поворота на $180^\circ$ вектор нормали будет направлен в сторону, противоположную его начальному направлению.</p><p>Теперь угол между вектором магнитной индукции $\vec{B}$ и новым направлением нормали $\vec{n'}$ составляет $\alpha_2 = 180^\circ$.</p><p>Конечный магнитный поток $\Phi_2$ равен:</p><p>$\Phi_2 = B \cdot S \cdot \cos(180^\circ) = B \cdot S \cdot (-1) = -B S = -B \pi R^2$</p><p><strong>3.</strong> <em>Изменение магнитного потока.</em></p><p>Изменение магнитного потока $\Delta \Phi$ равно разности между конечным и начальным потоками:</p><p>$\Delta \Phi = \Phi_2 - \Phi_1 = (-B \pi R^2) - (B \pi R^2) = -2 B \pi R^2$</p><p>Знак минус указывает, что поток уменьшился (в алгебраическом смысле). Модуль изменения потока равен $2 B \pi R^2$. Если бы мы изначально выбрали направление нормали противоположно вектору $\vec{B}$, то начальный поток был бы отрицательным, конечный — положительным, а изменение потока получилось бы $\Delta \Phi = 2 B \pi R^2$. Оба ответа корректны и отличаются только знаком, который зависит от выбора направления нормали.</p><p><strong>Ответ:</strong> $\Delta \Phi = -2 \pi R^2 B$ (или $2 \pi R^2 B$ в зависимости от выбора направления нормали).</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" => "598226" "type" => "task" ] "previous" => array:2 [ "refs" => "598224" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1167 #items: array:1 [ 0 => App\Models\Book {#1049} ] #escapeWhenCastingToString: false } "page" => Illuminate\Database\Eloquent\Collection {#1146 #items: array:1 [ 0 => App\Models\BookPage {#1175 #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" => 951233 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "66" "field_url" => "/11-klass/fizika/kasyanov/page-66" "field_display_title" => "66" "field_folder" => "1" "field_image_name" => "66" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1176 #items: [] #escapeWhenCastingToString: false } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1187 #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 {#1148 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1132 #items: array:1 [ 0 => App\Models\Element {#1168 #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" => 1126512 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1136 …2} "book_page" => array:2 [ …2] "img" => array:1 [ …1] ] #original: array:6 [ "id" => 1126512 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1136 …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" => "951234" "type" => "book_page" ] "previous" => array:2 [ "refs" => "951232" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1225 #items: array:6 [ 0 => App\Models\Task {#1237 #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" => 598220 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "66" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/20-1-3" "field_display_title" => "3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1238 …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 {#1239 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1240 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1387 …2} "content" => Illuminate\Database\Eloquent\Collection {#1412 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1413 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 598220 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "66" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/20-1-3" "field_display_title" => "3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1238 …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 {#1239 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1240 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1387 …2} "content" => Illuminate\Database\Eloquent\Collection {#1412 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1413 …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 {#1411 #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" => 598221 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "66" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/20-1-4" "field_display_title" => "4" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1414 …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 {#1415 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1416 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1417 …2} "content" => Illuminate\Database\Eloquent\Collection {#1443 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1444 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 598221 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "66" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/20-1-4" "field_display_title" => "4" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1414 …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 {#1415 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1416 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1417 …2} "content" => Illuminate\Database\Eloquent\Collection {#1443 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1444 …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 => "*" ] } 2 => App\Models\Task {#1442 #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" => 598222 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "66" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/20-1-5" "field_display_title" => "5" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1445 …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 {#1446 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1447 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1448 …2} "content" => Illuminate\Database\Eloquent\Collection {#1474 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1475 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 598222 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "66" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/20-1-5" "field_display_title" => "5" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1445 …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 {#1446 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1447 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1448 …2} "content" => Illuminate\Database\Eloquent\Collection {#1474 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1475 …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 => "*" ] } 3 => App\Models\Task {#1473 #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" => 598223 "created_at" => "2026-04-10 13:58:26" "updated_at" => null 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"field_url" => "/11-klass/fizika/kasyanov/20-2-1" "field_display_title" => "1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1476 …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 {#1477 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1478 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1479 …2} "content" => Illuminate\Database\Eloquent\Collection {#1497 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1504 …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 => "*" ] } 4 => App\Models\Task {#1488 #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" => 598224 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "66" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/20-2-2" "field_display_title" => "2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1489 …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 {#1490 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1495 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1494 …2} "content" => Illuminate\Database\Eloquent\Collection {#1502 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1518 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 598224 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "66" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/20-2-2" "field_display_title" => "2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1489 …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 {#1490 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1495 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1494 …2} "content" => Illuminate\Database\Eloquent\Collection {#1502 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1518 …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 => "*" ] } 5 => App\Models\Task {#1485 #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" => 598225 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "66" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/20-2-3" "field_display_title" => "3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1483 …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 {#1484 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1501 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1505 …2} "content" => Illuminate\Database\Eloquent\Collection {#1503 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1498 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 598225 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "66" "field_page_end" => null "field_url" => "/11-klass/fizika/kasyanov/20-2-3" "field_display_title" => "3" "field_outside_task" => 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№3 (с. 66)
Условие. №3 (с. 66)
скриншот условия
3. Проволочное кольцо радиусом $R$, находящееся в плоскости чертежа, поворачивается на 180° относительно вертикальной оси (рис. 63). Индукция магнитного поля $\vec{B}$ перпендикулярна плоскости чертежа. Найдите изменение магнитного потока сквозь кольцо в результате его поворота.
Решение. №3 (с. 66)
Решение 2. №3 (с. 66)
Дано:
Радиус кольца: $R$
Индукция магнитного поля: $B$
Угол поворота: $180^\circ$
Начальное положение: вектор индукции $\vec{B}$ перпендикулярен плоскости кольца.
Найти:
Изменение магнитного потока: $\Delta \Phi$
Решение:
Магнитный поток $\Phi$ через плоский контур определяется формулой:
$\Phi = B \cdot S \cdot \cos \alpha$
где $B$ – модуль вектора магнитной индукции, $S$ – площадь контура, а $\alpha$ – угол между вектором магнитной индукции $\vec{B}$ и вектором нормали (перпендикуляром) $\vec{n}$ к плоскости контура.
Площадь кольца радиусом $R$ равна:
$S = \pi R^2$
1. Начальное состояние (до поворота).
Вектор магнитной индукции $\vec{B}$ перпендикулярен плоскости кольца. Выберем направление нормали $\vec{n}$ к плоскости кольца так, чтобы оно совпадало с направлением вектора $\vec{B}$. В этом случае угол между ними $\alpha_1 = 0^\circ$.
Тогда начальный магнитный поток $\Phi_1$ равен:
$\Phi_1 = B \cdot S \cdot \cos(0^\circ) = B \cdot S \cdot 1 = B S = B \pi R^2$
2. Конечное состояние (после поворота).
Кольцо поворачивается на $180^\circ$ относительно вертикальной оси. Вместе с кольцом поворачивается и вектор нормали $\vec{n}$. После поворота на $180^\circ$ вектор нормали будет направлен в сторону, противоположную его начальному направлению.
Теперь угол между вектором магнитной индукции $\vec{B}$ и новым направлением нормали $\vec{n'}$ составляет $\alpha_2 = 180^\circ$.
Конечный магнитный поток $\Phi_2$ равен:
$\Phi_2 = B \cdot S \cdot \cos(180^\circ) = B \cdot S \cdot (-1) = -B S = -B \pi R^2$
3. Изменение магнитного потока.
Изменение магнитного потока $\Delta \Phi$ равно разности между конечным и начальным потоками:
$\Delta \Phi = \Phi_2 - \Phi_1 = (-B \pi R^2) - (B \pi R^2) = -2 B \pi R^2$
Знак минус указывает, что поток уменьшился (в алгебраическом смысле). Модуль изменения потока равен $2 B \pi R^2$. Если бы мы изначально выбрали направление нормали противоположно вектору $\vec{B}$, то начальный поток был бы отрицательным, конечный — положительным, а изменение потока получилось бы $\Delta \Phi = 2 B \pi R^2$. Оба ответа корректны и отличаются только знаком, который зависит от выбора направления нормали.
Ответ: $\Delta \Phi = -2 \pi R^2 B$ (или $2 \pi R^2 B$ в зависимости от выбора направления нормали).
Другие задания:
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