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Номер 1, страница 463 - гдз по физике 10 класс учебник Касьянов
Авторы: Касьянов В. А.
Тип: Учебник
Издательство: Просвещение
Год издания: 2021 - 2026
Уровень обучения: углублённый
Цвет обложки: белый самолет и молнии изображены
ISBN: 978-5-09-103621-3
Популярные ГДЗ в 10 классе
Лабораторные работы. 9. Измерение электроёмкости конденсатора - номер 1, страница 463.
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" => 1390635 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "463" "field_page_end" => null "field_url" => "/10-klass/fizika/kasyanov-uchebnik/lab09-1" "field_display_title" => "1" "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 {#1073 #items: array:1 [ 0 => App\Models\Branch {#1034 #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" => 1389652 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Лабораторные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1039 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "426" "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 {#1038 #items: array:1 [ 0 => App\Models\Book {#1040 #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" => 7000 "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 {#1041 #items: array:1 [ 0 => App\Models\Term {#1042 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ …10] #original: array:10 [ …10] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } "field_class" => Illuminate\Database\Eloquent\Collection {#1043 #items: array:1 [ 0 => App\Models\Term {#1044 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ …6] #original: array:6 [ …6] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } "field_publisher" => Illuminate\Database\Eloquent\Collection {#1045 #items: array:1 [ 0 => App\Models\Term {#1046 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ …6] #original: array:6 [ …6] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } "field_author" => Illuminate\Database\Eloquent\Collection {#1047 #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:12 [ …12] #original: array:12 [ …12] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1049 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1050 #items: array:1 [ 0 => App\Models\Term {#1051 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ …10] #original: array:10 [ …10] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } "field_country" => 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 [ …6] #original: array:6 [ …6] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ …1] } ] #escapeWhenCastingToString: false } "field_city" => Illuminate\Database\Eloquent\Collection {#1054 #items: array:1 [ 0 => App\Models\Term {#1055 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ …6] #original: array:6 [ …6] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] …7 } ] #escapeWhenCastingToString: false } "field_series" => Illuminate\Database\Eloquent\Collection {#1056 #items: [] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1057 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1058 #items: array:1 [ 0 => App\Models\Term {#1059 …30} ] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1060 #items: array:1 [ 0 => App\Models\Term {#1061 …30} ] #escapeWhenCastingToString: false } "field_publication_number" => "11" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1062 #items: array:1 [ 0 => App\Models\Term {#1063 …30} ] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1064 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => "самолет и молнии изображены" "field_publication_year" => "2021" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное издание" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "984" "field_priority" => null "field_default_folder" => "/fizika_10/kasyanov-u/" "field_isbn" => "978-5-09-103621-3" "field_cover" => array:1 [ 0 => "/media/fizika_10/kasyanov-u/covers/cover1.webp?ts=1757588862" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_10/kasyanov-u/covers/cover1.webp?ts=1757588862" "alt" => "" "width" => "1604" "height" => "2397" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1065 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1066 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1067 #items: [] #escapeWhenCastingToString: false } "field_url" => "/10-klass/fizika/kasyanov-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1068 #items: array:1 [ 0 => App\Models\Term {#1069 …30} ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 381 "subject" => 556 "class_subject" => 494 ] ] #original: array:50 [ "id" => 7000 "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 {#1041} "field_class" => Illuminate\Database\Eloquent\Collection {#1043} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1045} "field_author" => Illuminate\Database\Eloquent\Collection {#1047} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1049} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1050} "field_country" => Illuminate\Database\Eloquent\Collection {#1052} "field_city" => Illuminate\Database\Eloquent\Collection {#1054} "field_series" => Illuminate\Database\Eloquent\Collection {#1056} "field_umk" => Illuminate\Database\Eloquent\Collection {#1057} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1058} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1060} "field_publication_number" => "11" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1062} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1064} "field_under_the_edition_degree" => null "field_cover_description" => "самолет и молнии изображены" "field_publication_year" => "2021" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное издание" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "984" "field_priority" => null "field_default_folder" => "/fizika_10/kasyanov-u/" "field_isbn" => "978-5-09-103621-3" "field_cover" => array:1 [ 0 => "/media/fizika_10/kasyanov-u/covers/cover1.webp?ts=1757588862" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_10/kasyanov-u/covers/cover1.webp?ts=1757588862" "alt" => "" "width" => "1604" "height" => "2397" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1065} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1066} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1067} "field_url" => "/10-klass/fizika/kasyanov-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1068} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 381 "subject" => 556 "class_subject" => 494 ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1070 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1389652 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Лабораторные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1039} "field_page_start" => "426" "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 {#1038} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1070} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1108 #items: array:2 [ 0 => App\Models\Branch {#1116 #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" => 1389652 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Лабораторные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1117 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "426" "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 {#1150 #items: array:1 [ 0 => App\Models\Book {#1118 #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" => 7000 "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 {#1120 #items: array:1 [ 0 => App\Models\Term {#1119 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ "id" => 6493 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Физика" "field_abbreviated_name" => null "field_cases" => array:6 [ "field_accusative_case" => "физику" "field_creative_case" => "физикой" "field_dative_case" => "физике" "field_genitive_case" => "физики" "field_nominative_case" => "физика" "field_prepositional_case" => "физике" ] "field_foreign_lang_name" => null "field_short_name" => null "field_subject_type" => "technical_subject" "field_translit" => "fizika" ] #original: array:10 [ "id" => 6493 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Физика" "field_abbreviated_name" => null "field_cases" => array:6 [ "field_accusative_case" => "физику" "field_creative_case" => "физикой" "field_dative_case" => "физике" "field_genitive_case" => "физики" "field_nominative_case" => "физика" "field_prepositional_case" => "физике" ] "field_foreign_lang_name" => null "field_short_name" => null "field_subject_type" => "technical_subject" "field_translit" => "fizika" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_class" => Illuminate\Database\Eloquent\Collection {#1121 #items: array:1 [ 0 => App\Models\Term {#1122 #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" => 5459 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "10" "field_cases" => array:6 [ "field_accusative_case" => "десятый" "field_creative_case" => "десятым" "field_dative_case" => "десятому" "field_genitive_case" => "десятого" "field_nominative_case" => "десятый" "field_prepositional_case" => "десятом" ] "field_translit" => "desjatyj" ] #original: array:6 [ "id" => 5459 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "10" "field_cases" => array:6 [ "field_accusative_case" => "десятый" "field_creative_case" => "десятым" "field_dative_case" => "десятому" "field_genitive_case" => "десятого" "field_nominative_case" => "десятый" "field_prepositional_case" => "десятом" ] "field_translit" => "desjatyj" ] #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 {#1123 #items: array:1 [ 0 => App\Models\Term {#1124 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 5153 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Просвещение" "field_cases" => null "field_translit" => "prosveschenie" ] #original: array:6 [ "id" => 5153 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Просвещение" "field_cases" => null "field_translit" => "prosveschenie" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_author" => Illuminate\Database\Eloquent\Collection {#1125 #items: array:1 [ 0 => App\Models\Term {#1126 #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 {#1127 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1128 #items: array:1 [ 0 => App\Models\Term {#1129 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ "id" => 6671 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Учебник" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "учебник" "field_creative_case" => "учебником" "field_dative_case" => "учебнику" "field_genitive_case" => "учебника" "field_nominative_case" => "учебник" "field_prepositional_case" => "учебнике" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "uchebnik" ] #original: array:10 [ "id" => 6671 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Учебник" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "учебник" "field_creative_case" => "учебником" "field_dative_case" => "учебнику" "field_genitive_case" => "учебника" "field_nominative_case" => "учебник" "field_prepositional_case" => "учебнике" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "uchebnik" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_country" => Illuminate\Database\Eloquent\Collection {#1130 #items: array:1 [ 0 => App\Models\Term {#1131 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 9 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Россия" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "rossiya" ] #original: array:6 [ "id" => 9 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Россия" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "rossiya" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_city" => Illuminate\Database\Eloquent\Collection {#1132 #items: array:1 [ 0 => App\Models\Term {#1133 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 15 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Москва" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "moskva" ] #original: array:6 [ "id" => 15 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Москва" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "moskva" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_series" => Illuminate\Database\Eloquent\Collection {#1134 #items: [] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1135 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1136 #items: array:1 [ 0 => App\Models\Term {#1137 #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" => 39 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "углублённый" "field_cases" => array:6 [ "field_accusative_case" => "углубленный" "field_creative_case" => "углубленным" "field_dative_case" => "углубленному" "field_genitive_case" => "углубленного" "field_nominative_case" => "углубленный" "field_prepositional_case" => "углубленном" ] "field_translit" => "uglublennyy" ] #original: array:6 [ "id" => 39 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "углублённый" "field_cases" => array:6 [ "field_accusative_case" => "углубленный" "field_creative_case" => "углубленным" "field_dative_case" => "углубленному" "field_genitive_case" => "углубленного" "field_nominative_case" => "углубленный" "field_prepositional_case" => "углубленном" ] "field_translit" => "uglublennyy" ] #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 {#1138 #items: array:1 [ 0 => App\Models\Term {#1139 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ "id" => 6706 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "ФГОС (старый)" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_color" => null "field_end_year" => "2022" "field_start_year" => "2019" "field_translit" => "fgos-old" "field_type" => null ] #original: array:10 [ "id" => 6706 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "ФГОС (старый)" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_color" => null "field_end_year" => "2022" "field_start_year" => "2019" "field_translit" => "fgos-old" "field_type" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_publication_number" => "11" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1140 #items: array:1 [ 0 => App\Models\Term {#1141 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 33 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "стереотипное" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "stereotipnoe" ] #original: array:6 [ "id" => 33 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "стереотипное" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "stereotipnoe" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1142 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => "самолет и молнии изображены" "field_publication_year" => "2021" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное издание" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "984" "field_priority" => null "field_default_folder" => "/fizika_10/kasyanov-u/" "field_isbn" => "978-5-09-103621-3" "field_cover" => array:1 [ 0 => "/media/fizika_10/kasyanov-u/covers/cover1.webp?ts=1757588862" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_10/kasyanov-u/covers/cover1.webp?ts=1757588862" "alt" => "" "width" => "1604" "height" => "2397" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1143 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1144 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1145 #items: [] #escapeWhenCastingToString: false } "field_url" => "/10-klass/fizika/kasyanov-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1146 #items: array:1 [ 0 => App\Models\Term {#1147 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 45 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "белый" "field_cases" => array:6 [ "field_accusative_case" => "белый" "field_creative_case" => "белым" "field_dative_case" => "белому" "field_genitive_case" => "белого" "field_nominative_case" => "белый" "field_prepositional_case" => "белом" ] "field_translit" => "belyy" ] #original: array:6 [ "id" => 45 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "белый" "field_cases" => array:6 [ "field_accusative_case" => "белый" "field_creative_case" => "белым" "field_dative_case" => "белому" "field_genitive_case" => "белого" "field_nominative_case" => "белый" "field_prepositional_case" => "белом" ] "field_translit" => "belyy" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 381 "subject" => 556 "class_subject" => 494 ] ] #original: array:50 [ "id" => 7000 "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 {#1120} "field_class" => Illuminate\Database\Eloquent\Collection {#1121} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1123} "field_author" => Illuminate\Database\Eloquent\Collection {#1125} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1127} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1128} "field_country" => Illuminate\Database\Eloquent\Collection {#1130} "field_city" => Illuminate\Database\Eloquent\Collection {#1132} "field_series" => Illuminate\Database\Eloquent\Collection {#1134} "field_umk" => Illuminate\Database\Eloquent\Collection {#1135} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1136} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1138} "field_publication_number" => "11" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1140} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1142} "field_under_the_edition_degree" => null "field_cover_description" => "самолет и молнии изображены" "field_publication_year" => "2021" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное издание" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "984" "field_priority" => null "field_default_folder" => "/fizika_10/kasyanov-u/" "field_isbn" => "978-5-09-103621-3" "field_cover" => array:1 [ 0 => "/media/fizika_10/kasyanov-u/covers/cover1.webp?ts=1757588862" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_10/kasyanov-u/covers/cover1.webp?ts=1757588862" "alt" => "" "width" => "1604" "height" => "2397" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1143} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1144} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1145} "field_url" => "/10-klass/fizika/kasyanov-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1146} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 381 "subject" => 556 "class_subject" => 494 ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1148 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1389652 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Лабораторные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1117} "field_page_start" => "426" "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 {#1150} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1148} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Branch {#1149 #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" => 1389663 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "9. Измерение электроёмкости конденсатора" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1151 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "462" "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 {#1152 #items: array:1 [ 0 => App\Models\Book {#1118} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1153 #items: array:1 [ 0 => App\Models\Branch {#1034} ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1389663 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "9. 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Измерение электроёмкости конденсатора</strong></p><p>🟦 <strong>Цель работы:</strong> изучить устройство плоского конденсатора и рассчитать его электроёмкость; сконструировать бумажный конденсатор из фольги и проверить, возможно ли за счёт энергии, запасённой в нём, зажечь светодиод.</p><p>🟦 <strong>Оборудование, средства измерения:</strong> 1) пластинки металлические — 2 шт., 2) пластинка стеклянная, 3) штангенциркуль, 4) линейка измерительная, 5) батарейка квадратная (плоская), 6) зажим типа «крокодил» — 2 шт., 7) рулон фольги бытовой, 8) рулон бумаги (полотенце бумажное), 9) светодиод.</p><p>🟦 <strong>Теоретическое обоснование</strong></p><p>Электрическая ёмкость конденсатора — физическая величина, равная отношению заряда одного из проводников к разности потенциалов между этим проводником и соседним:</p><p>$C = \frac{Q}{U}$ (1)</p><p>В работе измеряется электроёмкость плоского конденсатора — система двух плоскопараллельных пластин 1 площадью S, находящихся на расстоянии d друг от друга (рис. 360).</p><p>Пространство между пластинами заполнено диэлектриком с относительной диэлектрической проницаемостью $\varepsilon$ (вставлена стеклянная пластина 2 толщиной d).</p><p>Вычисление электроёмкости сводится к расчёту разности потенциалов U между пластинами. При напряжённости Е однородного электростатического поля между пластинами плоского конденсатора</p><p>$U = Ed,$ (2)</p><p>Напряжённость Е однородного поля внутри конденсатора складывается (по принципу суперпозиции) из напряжённостей полей, созданных положительной $E_+$ и отрицательной $E_-$ пластинами:</p><p>$E = E_+ + E_-,$ (3)</p><p>В свою очередь, в среде с относительной диэлектрической проницаемостью $\varepsilon$</p><p>$E_+ = \frac{Q}{2S\varepsilon\varepsilon_0},$ (4)</p><p>где $\varepsilon_0 = 8,85 \cdot 10^{-12} \frac{Кл^2}{Н \cdot м^2}$ — электрическая постоянная.</p><p>Следовательно, разность потенциалов между пластинами плоского конденсатора:</p><p>$U = \frac{Qd}{S\varepsilon\varepsilon_0}.$ (5)</p><p>Подставляя значение U в формулу (1), находим электроёмкость плоского конденсатора с диэлектриком:</p><p>$C = \frac{S\varepsilon\varepsilon_0}{d}.$ (6)</p><p>Электроёмкость конденсатора зависит как от его геометрических характеристик (площади пластин, расстояния между ними), так и от относительной диэлектрической проницаемости вещества, заполняющего пространство между пластинами. Электроёмкость не зависит от заряда на пластинах и разности потенциалов, приложенной к ним.</p><p>🟦 <strong>Порядок выполнения работы</strong></p><p><strong>1.</strong> Соберите из двух металлических пластин и одной стеклянной (см. рис. 360) плоский конденсатор.</p>" "img" => array:2 [ 0 => array:5 [ "name" => "1-1.jpg" "alt" => null "width" => "1722" "height" => 2204 "path" => "/media/fizika_10/kasyanov-u/0-lab09/1-1.webp?ts=1757958251" ] 1 => array:5 [ "name" => "1-2.jpg" "alt" => null "width" => "1766" "height" => 1889 "path" => "/media/fizika_10/kasyanov-u/0-lab09/1-2.webp?ts=1757958251" ] ] ] #original: array:7 [ "id" => 1641075 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1089} "task" => array:2 [ "refs" => "1390635" "type" => "task" ] "text" => "<p><strong>Лабораторная работа №9. Измерение электроёмкости конденсатора</strong></p><p>🟦 <strong>Цель работы:</strong> изучить устройство плоского конденсатора и рассчитать его электроёмкость; сконструировать бумажный конденсатор из фольги и проверить, возможно ли за счёт энергии, запасённой в нём, зажечь светодиод.</p><p>🟦 <strong>Оборудование, средства измерения:</strong> 1) пластинки металлические — 2 шт., 2) пластинка стеклянная, 3) штангенциркуль, 4) линейка измерительная, 5) батарейка квадратная (плоская), 6) зажим типа «крокодил» — 2 шт., 7) рулон фольги бытовой, 8) рулон бумаги (полотенце бумажное), 9) светодиод.</p><p>🟦 <strong>Теоретическое обоснование</strong></p><p>Электрическая ёмкость конденсатора — физическая величина, равная отношению заряда одного из проводников к разности потенциалов между этим проводником и соседним:</p><p>$C = \frac{Q}{U}$ (1)</p><p>В работе измеряется электроёмкость плоского конденсатора — система двух плоскопараллельных пластин 1 площадью S, находящихся на расстоянии d друг от друга (рис. 360).</p><p>Пространство между пластинами заполнено диэлектриком с относительной диэлектрической проницаемостью $\varepsilon$ (вставлена стеклянная пластина 2 толщиной d).</p><p>Вычисление электроёмкости сводится к расчёту разности потенциалов U между пластинами. При напряжённости Е однородного электростатического поля между пластинами плоского конденсатора</p><p>$U = Ed,$ (2)</p><p>Напряжённость Е однородного поля внутри конденсатора складывается (по принципу суперпозиции) из напряжённостей полей, созданных положительной $E_+$ и отрицательной $E_-$ пластинами:</p><p>$E = E_+ + E_-,$ (3)</p><p>В свою очередь, в среде с относительной диэлектрической проницаемостью $\varepsilon$</p><p>$E_+ = \frac{Q}{2S\varepsilon\varepsilon_0},$ (4)</p><p>где $\varepsilon_0 = 8,85 \cdot 10^{-12} \frac{Кл^2}{Н \cdot м^2}$ — электрическая постоянная.</p><p>Следовательно, разность потенциалов между пластинами плоского конденсатора:</p><p>$U = \frac{Qd}{S\varepsilon\varepsilon_0}.$ (5)</p><p>Подставляя значение U в формулу (1), находим электроёмкость плоского конденсатора с диэлектриком:</p><p>$C = \frac{S\varepsilon\varepsilon_0}{d}.$ (6)</p><p>Электроёмкость конденсатора зависит как от его геометрических характеристик (площади пластин, расстояния между ними), так и от относительной диэлектрической проницаемости вещества, заполняющего пространство между пластинами. Электроёмкость не зависит от заряда на пластинах и разности потенциалов, приложенной к ним.</p><p>🟦 <strong>Порядок выполнения работы</strong></p><p><strong>1.</strong> Соберите из двух металлических пластин и одной стеклянной (см. рис. 360) плоский конденсатор.</p>" "img" => array:2 [ 0 => array:5 [ "name" => "1-1.jpg" "alt" => null "width" => "1722" "height" => 2204 "path" => "/media/fizika_10/kasyanov-u/0-lab09/1-1.webp?ts=1757958251" ] 1 => array:5 [ "name" => "1-2.jpg" "alt" => null "width" => "1766" "height" => 1889 "path" => "/media/fizika_10/kasyanov-u/0-lab09/1-2.webp?ts=1757958251" ] ] ] #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 {#1092 #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" => 1693647 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1083 #items: array:1 [ 0 => App\Models\Edition {#1091 #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" => 6145 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1087 #items: array:1 [ 0 => App\Models\Term {#1090 …30} ] #escapeWhenCastingToString: false } "field_content_type" => "free" "field_content_mode" => "text" "field_page_content_mode" => "" "field_content_text_checked" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Gemini 2.5 Pro" "field_moderator" => "tolik" "field_edition_type" => "solution" "field_root_dir" => "1-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1088 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1085 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1086 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 6145 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1087} "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" => "1-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1088} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1085} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1086} "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" => "1390635" "type" => "task" ] "text" => "<p><strong>1.</strong> Соберите из двух металлических пластин и одной стеклянной (см. рис. 360) плоский конденсатор.</p><p>Для сборки плоского конденсатора необходимо взять две идентичные металлические пластины, которые будут служить обкладками, и расположить их строго параллельно друг другу. Пространство между обкладками заполняется диэлектриком — в данном случае, стеклянной пластиной. Важно обеспечить плотное прилегание диэлектрика к обкладкам по всей их площади. В результате будет создано устройство, предназначенное для накопления электрического заряда, — плоский конденсатор.</p><p>После сборки конденсатора произведем расчёт его основной характеристики — электроёмкости. Для этого воспользуемся формулами из теоретического обоснования, а геометрические параметры определим по рисунку 360 и справочным данным.</p><p><strong>Дано:</strong></p><p>Длина пластины, $a = 10$ см (измерено по линейке на рис. 360).</p><p>Ширина пластины, $b = 10$ см (принято, что пластина квадратная).</p><p>Толщина стеклянной пластины (расстояние между обкладками), $d = 2.5$ мм (оценка по показаниям штангенциркуля на рис. 360).</p><p>Относительная диэлектрическая проницаемость стекла, $\epsilon \approx 7$ (справочное значение, так как в условии не указано).</p><p>Электрическая постоянная, $\epsilon_0 = 8.85 \cdot 10^{-12}$ Ф/м.</p><p>Перевод в систему СИ:</p><p>$a = 10 \text{ см} = 0.1 \text{ м}$</p><p>$b = 10 \text{ см} = 0.1 \text{ м}$</p><p>$d = 2.5 \text{ мм} = 2.5 \cdot 10^{-3} \text{ м}$</p><p><strong>Найти:</strong></p><p>Электроёмкость конденсатора, $C$.</p><p><strong>Решение:</strong></p><p>Согласно формуле (6) из теоретического обоснования, электроёмкость плоского конденсатора с диэлектриком определяется как:</p><p>$C = \frac{\epsilon \epsilon_0 S}{d}$</p><p>где $S$ — площадь перекрытия пластин конденсатора, $\epsilon$ — диэлектрическая проницаемость материала между пластинами, $\epsilon_0$ — электрическая постоянная, $d$ — расстояние между пластинами.</p><p><strong>1.</strong> Найдём площадь пластин конденсатора. Так как пластины полностью перекрывают друг друга, эта площадь равна площади одной пластины:</p><p>$S = a \cdot b = 0.1 \text{ м} \cdot 0.1 \text{ м} = 0.01 \text{ м}^2 = 10^{-2} \text{ м}^2$.</p><p><strong>2.</strong> Подставим числовые значения в формулу для расчёта электроёмкости:</p><p>$C = \frac{7 \cdot 8.85 \cdot 10^{-12} \text{ Ф/м} \cdot 10^{-2} \text{ м}^2}{2.5 \cdot 10^{-3} \text{ м}}$</p><p>Произведём вычисления:</p><p>$C = \frac{61.95 \cdot 10^{-14}}{2.5 \cdot 10^{-3}} \text{ Ф} = 24.78 \cdot 10^{-11} \text{ Ф}$.</p><p>Для удобства представим результат в пикофарадах (1 пФ = $10^{-12}$ Ф):</p><p>$C = 24.78 \cdot 10^{-11} \text{ Ф} = 247.8 \cdot 10^{-12} \text{ Ф} \approx 248 \text{ пФ}$.</p><p><strong>Ответ:</strong> электроёмкость собранного плоского конденсатора составляет приблизительно 248 пФ.</p>" ] #original: array:6 [ "id" => 1693647 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1083} "task" => array:2 [ "refs" => "1390635" "type" => "task" ] "text" => "<p><strong>1.</strong> Соберите из двух металлических пластин и одной стеклянной (см. рис. 360) плоский конденсатор.</p><p>Для сборки плоского конденсатора необходимо взять две идентичные металлические пластины, которые будут служить обкладками, и расположить их строго параллельно друг другу. Пространство между обкладками заполняется диэлектриком — в данном случае, стеклянной пластиной. Важно обеспечить плотное прилегание диэлектрика к обкладкам по всей их площади. В результате будет создано устройство, предназначенное для накопления электрического заряда, — плоский конденсатор.</p><p>После сборки конденсатора произведем расчёт его основной характеристики — электроёмкости. Для этого воспользуемся формулами из теоретического обоснования, а геометрические параметры определим по рисунку 360 и справочным данным.</p><p><strong>Дано:</strong></p><p>Длина пластины, $a = 10$ см (измерено по линейке на рис. 360).</p><p>Ширина пластины, $b = 10$ см (принято, что пластина квадратная).</p><p>Толщина стеклянной пластины (расстояние между обкладками), $d = 2.5$ мм (оценка по показаниям штангенциркуля на рис. 360).</p><p>Относительная диэлектрическая проницаемость стекла, $\epsilon \approx 7$ (справочное значение, так как в условии не указано).</p><p>Электрическая постоянная, $\epsilon_0 = 8.85 \cdot 10^{-12}$ Ф/м.</p><p>Перевод в систему СИ:</p><p>$a = 10 \text{ см} = 0.1 \text{ м}$</p><p>$b = 10 \text{ см} = 0.1 \text{ м}$</p><p>$d = 2.5 \text{ мм} = 2.5 \cdot 10^{-3} \text{ м}$</p><p><strong>Найти:</strong></p><p>Электроёмкость конденсатора, $C$.</p><p><strong>Решение:</strong></p><p>Согласно формуле (6) из теоретического обоснования, электроёмкость плоского конденсатора с диэлектриком определяется как:</p><p>$C = \frac{\epsilon \epsilon_0 S}{d}$</p><p>где $S$ — площадь перекрытия пластин конденсатора, $\epsilon$ — диэлектрическая проницаемость материала между пластинами, $\epsilon_0$ — электрическая постоянная, $d$ — расстояние между пластинами.</p><p><strong>1.</strong> Найдём площадь пластин конденсатора. Так как пластины полностью перекрывают друг друга, эта площадь равна площади одной пластины:</p><p>$S = a \cdot b = 0.1 \text{ м} \cdot 0.1 \text{ м} = 0.01 \text{ м}^2 = 10^{-2} \text{ м}^2$.</p><p><strong>2.</strong> Подставим числовые значения в формулу для расчёта электроёмкости:</p><p>$C = \frac{7 \cdot 8.85 \cdot 10^{-12} \text{ Ф/м} \cdot 10^{-2} \text{ м}^2}{2.5 \cdot 10^{-3} \text{ м}}$</p><p>Произведём вычисления:</p><p>$C = \frac{61.95 \cdot 10^{-14}}{2.5 \cdot 10^{-3}} \text{ Ф} = 24.78 \cdot 10^{-11} \text{ Ф}$.</p><p>Для удобства представим результат в пикофарадах (1 пФ = $10^{-12}$ Ф):</p><p>$C = 24.78 \cdot 10^{-11} \text{ Ф} = 247.8 \cdot 10^{-12} \text{ Ф} \approx 248 \text{ пФ}$.</p><p><strong>Ответ:</strong> электроёмкость собранного плоского конденсатора составляет приблизительно 248 пФ.</p>" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] 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№1 (с. 463)
Условие. №1 (с. 463)
скриншот условия
Лабораторная работа №9. Измерение электроёмкости конденсатора
🟦 Цель работы: изучить устройство плоского конденсатора и рассчитать его электроёмкость; сконструировать бумажный конденсатор из фольги и проверить, возможно ли за счёт энергии, запасённой в нём, зажечь светодиод.
🟦 Оборудование, средства измерения: 1) пластинки металлические — 2 шт., 2) пластинка стеклянная, 3) штангенциркуль, 4) линейка измерительная, 5) батарейка квадратная (плоская), 6) зажим типа «крокодил» — 2 шт., 7) рулон фольги бытовой, 8) рулон бумаги (полотенце бумажное), 9) светодиод.
🟦 Теоретическое обоснование
Электрическая ёмкость конденсатора — физическая величина, равная отношению заряда одного из проводников к разности потенциалов между этим проводником и соседним:
$C = \frac{Q}{U}$ (1)
В работе измеряется электроёмкость плоского конденсатора — система двух плоскопараллельных пластин 1 площадью S, находящихся на расстоянии d друг от друга (рис. 360).
Пространство между пластинами заполнено диэлектриком с относительной диэлектрической проницаемостью $\varepsilon$ (вставлена стеклянная пластина 2 толщиной d).
Вычисление электроёмкости сводится к расчёту разности потенциалов U между пластинами. При напряжённости Е однородного электростатического поля между пластинами плоского конденсатора
$U = Ed,$ (2)
Напряжённость Е однородного поля внутри конденсатора складывается (по принципу суперпозиции) из напряжённостей полей, созданных положительной $E_+$ и отрицательной $E_-$ пластинами:
$E = E_+ + E_-,$ (3)
В свою очередь, в среде с относительной диэлектрической проницаемостью $\varepsilon$
$E_+ = \frac{Q}{2S\varepsilon\varepsilon_0},$ (4)
где $\varepsilon_0 = 8,85 \cdot 10^{-12} \frac{Кл^2}{Н \cdot м^2}$ — электрическая постоянная.
Следовательно, разность потенциалов между пластинами плоского конденсатора:
$U = \frac{Qd}{S\varepsilon\varepsilon_0}.$ (5)
Подставляя значение U в формулу (1), находим электроёмкость плоского конденсатора с диэлектриком:
$C = \frac{S\varepsilon\varepsilon_0}{d}.$ (6)
Электроёмкость конденсатора зависит как от его геометрических характеристик (площади пластин, расстояния между ними), так и от относительной диэлектрической проницаемости вещества, заполняющего пространство между пластинами. Электроёмкость не зависит от заряда на пластинах и разности потенциалов, приложенной к ним.
🟦 Порядок выполнения работы
1. Соберите из двух металлических пластин и одной стеклянной (см. рис. 360) плоский конденсатор.
Решение. №1 (с. 463)
1. Соберите из двух металлических пластин и одной стеклянной (см. рис. 360) плоский конденсатор.
Для сборки плоского конденсатора необходимо взять две идентичные металлические пластины, которые будут служить обкладками, и расположить их строго параллельно друг другу. Пространство между обкладками заполняется диэлектриком — в данном случае, стеклянной пластиной. Важно обеспечить плотное прилегание диэлектрика к обкладкам по всей их площади. В результате будет создано устройство, предназначенное для накопления электрического заряда, — плоский конденсатор.
После сборки конденсатора произведем расчёт его основной характеристики — электроёмкости. Для этого воспользуемся формулами из теоретического обоснования, а геометрические параметры определим по рисунку 360 и справочным данным.
Дано:
Длина пластины, $a = 10$ см (измерено по линейке на рис. 360).
Ширина пластины, $b = 10$ см (принято, что пластина квадратная).
Толщина стеклянной пластины (расстояние между обкладками), $d = 2.5$ мм (оценка по показаниям штангенциркуля на рис. 360).
Относительная диэлектрическая проницаемость стекла, $\epsilon \approx 7$ (справочное значение, так как в условии не указано).
Электрическая постоянная, $\epsilon_0 = 8.85 \cdot 10^{-12}$ Ф/м.
Перевод в систему СИ:
$a = 10 \text{ см} = 0.1 \text{ м}$
$b = 10 \text{ см} = 0.1 \text{ м}$
$d = 2.5 \text{ мм} = 2.5 \cdot 10^{-3} \text{ м}$
Найти:
Электроёмкость конденсатора, $C$.
Решение:
Согласно формуле (6) из теоретического обоснования, электроёмкость плоского конденсатора с диэлектриком определяется как:
$C = \frac{\epsilon \epsilon_0 S}{d}$
где $S$ — площадь перекрытия пластин конденсатора, $\epsilon$ — диэлектрическая проницаемость материала между пластинами, $\epsilon_0$ — электрическая постоянная, $d$ — расстояние между пластинами.
1. Найдём площадь пластин конденсатора. Так как пластины полностью перекрывают друг друга, эта площадь равна площади одной пластины:
$S = a \cdot b = 0.1 \text{ м} \cdot 0.1 \text{ м} = 0.01 \text{ м}^2 = 10^{-2} \text{ м}^2$.
2. Подставим числовые значения в формулу для расчёта электроёмкости:
$C = \frac{7 \cdot 8.85 \cdot 10^{-12} \text{ Ф/м} \cdot 10^{-2} \text{ м}^2}{2.5 \cdot 10^{-3} \text{ м}}$
Произведём вычисления:
$C = \frac{61.95 \cdot 10^{-14}}{2.5 \cdot 10^{-3}} \text{ Ф} = 24.78 \cdot 10^{-11} \text{ Ф}$.
Для удобства представим результат в пикофарадах (1 пФ = $10^{-12}$ Ф):
$C = 24.78 \cdot 10^{-11} \text{ Ф} = 247.8 \cdot 10^{-12} \text{ Ф} \approx 248 \text{ пФ}$.
Ответ: электроёмкость собранного плоского конденсатора составляет приблизительно 248 пФ.
Другие задания:
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