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Лабораторная работа 7, страница 152 - гдз по физике 8 класс учебник Изергин
Авторы: Изергин Э. Т.
Тип: Учебник
Издательство: Русское слово
Год издания: 2019 - 2026
Цвет обложки: синий
ISBN: 978-5-533-01067-2
Популярные ГДЗ в 8 классе
Глава III. Постоянный электрический ток. Параграф 25. Работа и мощность электрического тока - страница 152.
App\Models\Task {#1024 // 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" => 1492472 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "152" "field_page_end" => "153" "field_url" => "/8-klass/fizika/izergin-uchebnik/labrab-7" "field_display_title" => "Лабораторная работа 7" "field_outside_task" => "0" "field_task_type" => Illuminate\Database\Eloquent\Collection {#331 #items: [] #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 {#1029 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1026 #items: array:1 [ 0 => App\Models\Branch {#342 #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" => 1492175 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Постоянный электрический ток" "field_branch_order" => "III" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1023 #items: array:1 [ 0 => App\Models\Term {#333 #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" => "95" "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 {#1033 #items: array:1 [ 0 => App\Models\Book {#1030 #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" => 4168 "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 {#1032 #items: array:1 [ 0 => App\Models\Term {#1034 #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 {#1035 #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" => 5457 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "8" "field_cases" => array:6 [ …6] "field_translit" => "vosmoj" ] #original: array:6 [ "id" => 5457 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "8" "field_cases" => array:6 [ …6] "field_translit" => "vosmoj" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_publisher" => Illuminate\Database\Eloquent\Collection {#1037 #items: array:1 [ 0 => App\Models\Term {#1038 #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" => 5176 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Русское слово" "field_cases" => null "field_translit" => "russkoe slovo" ] #original: array:6 [ "id" => 5176 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Русское слово" "field_cases" => null "field_translit" => "russkoe slovo" ] #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 {#1039 #items: array:1 [ 0 => App\Models\Term {#1040 #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" => 4491 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Изергин" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Эдуард" "field_patronymic" => "Тимофеевич" "field_surname_rp" => null ] #original: array:12 [ "id" => 4491 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Изергин" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Эдуард" "field_patronymic" => "Тимофеевич" "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 {#1041 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1042 #items: array:1 [ 0 => App\Models\Term {#1043 #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 {#1044 #items: array:1 [ 0 => App\Models\Term {#1045 #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 {#1046 #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: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 {#1048 #items: [] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1049 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1050 #items: [] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1051 #items: array:1 [ 0 => App\Models\Term {#1052 #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" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1053 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1054 #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" => "Учебник для 8 класса общеобразовательных организаций" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "417" "field_priority" => null "field_default_folder" => "/fizika_08/izergin-u/" "field_isbn" => "978-5-533-01067-2" "field_cover" => array:1 [ 0 => "/media/fizika_08/izergin-u/covers/cover1.webp?ts=1760998278" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_08/izergin-u/covers/cover1.webp?ts=1760998278" "alt" => "" "width" => "1608" "height" => "2576" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1055 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1056 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1057 #items: [] #escapeWhenCastingToString: false } "field_url" => "/8-klass/fizika/izergin-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1058 #items: array:1 [ 0 => App\Models\Term {#1059 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 49 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "синий" "field_cases" => array:6 [ …6] "field_translit" => "siniy" ] #original: array:6 [ "id" => 49 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "синий" "field_cases" => array:6 [ …6] "field_translit" => "siniy" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 379 "subject" => 556 "class_subject" => 492 ] ] #original: array:50 [ "id" => 4168 "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 {#1032} "field_class" => Illuminate\Database\Eloquent\Collection {#1035} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1037} "field_author" => Illuminate\Database\Eloquent\Collection {#1039} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1041} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1042} "field_country" => Illuminate\Database\Eloquent\Collection {#1044} "field_city" => Illuminate\Database\Eloquent\Collection {#1046} "field_series" => Illuminate\Database\Eloquent\Collection {#1048} "field_umk" => Illuminate\Database\Eloquent\Collection {#1049} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1050} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1051} "field_publication_number" => null "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1053} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1054} "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" => "Учебник для 8 класса общеобразовательных организаций" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "417" "field_priority" => null "field_default_folder" => "/fizika_08/izergin-u/" "field_isbn" => "978-5-533-01067-2" "field_cover" => array:1 [ 0 => "/media/fizika_08/izergin-u/covers/cover1.webp?ts=1760998278" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_08/izergin-u/covers/cover1.webp?ts=1760998278" "alt" => "" "width" => "1608" "height" => "2576" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1055} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1056} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1057} "field_url" => "/8-klass/fizika/izergin-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1058} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 379 "subject" => 556 "class_subject" => 492 ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1060 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1492175 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Постоянный электрический ток" "field_branch_order" => "III" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1023} "field_page_start" => "95" "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 {#1033} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1060} ] #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 {#1061 #items: array:2 [ 0 => App\Models\Branch {#342} 1 => App\Models\Branch {#1062 #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" => 1492185 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Работа и мощность электрического тока" "field_branch_order" => "25" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1063 #items: array:1 [ 0 => App\Models\Term {#1064 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:7 [ "id" => 32 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Параграф" "field_cases" => array:6 [ "field_accusative_case" => "Параграф" "field_creative_case" => "Параграфом" "field_dative_case" => "Параграфу" "field_genitive_case" => "Параграфа" "field_nominative_case" => "Параграф" "field_prepositional_case" => "Параграфе" ] "field_page_check_not_needed" => null "field_short_name" => "§" ] #original: array:7 [ "id" => 32 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Параграф" "field_cases" => array:6 [ "field_accusative_case" => "Параграф" "field_creative_case" => "Параграфом" "field_dative_case" => "Параграфу" "field_genitive_case" => "Параграфа" "field_nominative_case" => "Параграф" "field_prepositional_case" => "Параграфе" ] "field_page_check_not_needed" => null "field_short_name" => "§" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_page_start" => "147" "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 {#1065 #items: array:1 [ 0 => App\Models\Book {#1030} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1066 #items: array:1 [ 0 => App\Models\Branch {#1067 #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" => 1492175 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Постоянный электрический ток" "field_branch_order" => "III" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1068 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_page_start" => "95" "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 {#1069 #items: array:1 [ …1] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1070 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1492175 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Постоянный электрический ток" "field_branch_order" => "III" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1068} "field_page_start" => "95" "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 {#1069} "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 } ] #original: array:24 [ "id" => 1492185 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Работа и мощность электрического тока" "field_branch_order" => "25" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1063} "field_page_start" => "147" "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 {#1065} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1066} ] #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 {#1071 #items: array:2 [ 0 => App\Models\Element {#1072 #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" => 1774788 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1073 #items: array:1 [ 0 => App\Models\Edition {#1074 #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" => 6496 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1075 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_content_type" => "free" "field_content_mode" => "text, image" "field_page_content_mode" => "image" "field_content_text_checked" => "0" "field_page_content_text_checked" => "0" "field_solution_author" => "Автор" "field_moderator" => "stas" "field_edition_type" => "statement" "field_root_dir" => "0-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1077 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1078 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1079 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 6496 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1075} "field_content_type" => "free" "field_content_mode" => "text, image" "field_page_content_mode" => "image" "field_content_text_checked" => "0" "field_page_content_text_checked" => "0" "field_solution_author" => "Автор" "field_moderator" => "stas" "field_edition_type" => "statement" "field_root_dir" => "0-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1077} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1078} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1079} "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" => "1492472" "type" => "task" ] "text" => "<p><strong>Лабораторная работа 7</strong></p><p><strong>Исследование зависимости мощности электрического тока в резисторе от напряжения на резисторе</strong></p><p><strong>Цель работы:</strong> научиться вычислять мощность электрического тока. Приобрести первичные навыки простейшего исследования.</p><p><strong>Приборы и материалы:</strong> источник тока, резистор сопротивлением 2 Ом, реостат, ключ, вольтметр, амперметр, семь соединительных проводов.</p><p><strong>Порядок выполнения работы</strong></p><p><strong>1.</strong> Сделайте предположение об ожидаемых результатах исследования.</p><p><strong>2.</strong> Соберите электрическую цепь (рис. 140), позволяющую изменять электрический ток в резисторе, а затем измерять силу тока в нём и напряжение на его концах.</p><p><strong>3.</strong> Найдите такое положение движка реостата, при котором сила тока в проводнике равна 0,3 А. Измерьте напряжение и рассчитайте мощность тока в проводнике. Формула для расчёта абсолютной погрешности мощности:</p><p>$\Delta P = I\Delta U + U\Delta I.$</p><p>Рис. 140. К заданию 2</p><p>Результаты занесите в таблицу 22.</p><p><strong>4.</strong> Передвиньте движок реостата так, чтобы сила электрического тока стала 0,4 А, а затем 0,5 и 0,6 А. В каждом случае измерьте напряжение и рассчитайте мощность. Результаты занесите в таблицу 22.</p><p>Таблица 22</p><p>№ п/п | Сила тока $\text{I}$, А | $\Delta I$, А | Напряжение $\text{U}$, В | $\Delta U$, В | Мощность $\text{P}$, Вт | $\Delta P$, Вт</p><p>1 | 0,3 | 0,08 | 0,2 | | |</p><p>2 | 0,4 | 0,08 | 0,2 | | |</p><p>3 | 0,5 | 0,08 | 0,2 | | |</p><p>4 | 0,6 | 0,08 | 0,2 | | |</p><p><strong>5.</strong> В соответствии с таблицей 22 постройте график зависимости мощности тока в проводнике от напряжения на нём.</p><p><strong>6.</strong> По графику сделайте вывод.</p>" "img" => array:2 [ 0 => array:5 [ "name" => "7-1.jpg" "alt" => null "width" => "1482" "height" => 919 "path" => "/media/fizika_08/izergin-u/0-labrab/7-1.webp?ts=1761329292" ] 1 => array:5 [ "name" => "7-2.jpg" "alt" => null "width" => "1651" "height" => 2264 "path" => "/media/fizika_08/izergin-u/0-labrab/7-2.webp?ts=1761329292" ] ] ] #original: array:7 [ "id" => 1774788 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1073} "task" => array:2 [ "refs" => "1492472" "type" => "task" ] "text" => "<p><strong>Лабораторная работа 7</strong></p><p><strong>Исследование зависимости мощности электрического тока в резисторе от напряжения на резисторе</strong></p><p><strong>Цель работы:</strong> научиться вычислять мощность электрического тока. Приобрести первичные навыки простейшего исследования.</p><p><strong>Приборы и материалы:</strong> источник тока, резистор сопротивлением 2 Ом, реостат, ключ, вольтметр, амперметр, семь соединительных проводов.</p><p><strong>Порядок выполнения работы</strong></p><p><strong>1.</strong> Сделайте предположение об ожидаемых результатах исследования.</p><p><strong>2.</strong> Соберите электрическую цепь (рис. 140), позволяющую изменять электрический ток в резисторе, а затем измерять силу тока в нём и напряжение на его концах.</p><p><strong>3.</strong> Найдите такое положение движка реостата, при котором сила тока в проводнике равна 0,3 А. Измерьте напряжение и рассчитайте мощность тока в проводнике. Формула для расчёта абсолютной погрешности мощности:</p><p>$\Delta P = I\Delta U + U\Delta I.$</p><p>Рис. 140. К заданию 2</p><p>Результаты занесите в таблицу 22.</p><p><strong>4.</strong> Передвиньте движок реостата так, чтобы сила электрического тока стала 0,4 А, а затем 0,5 и 0,6 А. В каждом случае измерьте напряжение и рассчитайте мощность. Результаты занесите в таблицу 22.</p><p>Таблица 22</p><p>№ п/п | Сила тока $\text{I}$, А | $\Delta I$, А | Напряжение $\text{U}$, В | $\Delta U$, В | Мощность $\text{P}$, Вт | $\Delta P$, Вт</p><p>1 | 0,3 | 0,08 | 0,2 | | |</p><p>2 | 0,4 | 0,08 | 0,2 | | |</p><p>3 | 0,5 | 0,08 | 0,2 | | |</p><p>4 | 0,6 | 0,08 | 0,2 | | |</p><p><strong>5.</strong> В соответствии с таблицей 22 постройте график зависимости мощности тока в проводнике от напряжения на нём.</p><p><strong>6.</strong> По графику сделайте вывод.</p>" "img" => array:2 [ 0 => array:5 [ "name" => "7-1.jpg" "alt" => null "width" => "1482" "height" => 919 "path" => "/media/fizika_08/izergin-u/0-labrab/7-1.webp?ts=1761329292" ] 1 => array:5 [ "name" => "7-2.jpg" "alt" => null "width" => "1651" "height" => 2264 "path" => "/media/fizika_08/izergin-u/0-labrab/7-2.webp?ts=1761329292" ] ] ] #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 {#1080 #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" => 1851960 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1081 #items: array:1 [ 0 => App\Models\Edition {#1082 #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" => 7014 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1083 …2} "field_content_type" => "free" "field_content_mode" => "text" "field_page_content_mode" => "" "field_content_text_checked" => "0" "field_page_content_text_checked" => "0" "field_solution_author" => "Gemini 2.5 Pro" "field_moderator" => "tolik" "field_edition_type" => "solution" "field_root_dir" => "1-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1085 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1086 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1087 …2} "field_content_source" => null ] #original: array:21 [ "id" => 7014 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1083 …2} "field_content_type" => "free" "field_content_mode" => "text" "field_page_content_mode" => "" "field_content_text_checked" => "0" "field_page_content_text_checked" => "0" "field_solution_author" => "Gemini 2.5 Pro" "field_moderator" => "tolik" "field_edition_type" => "solution" "field_root_dir" => "1-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1085 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1086 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1087 …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" => "1492472" "type" => "task" ] "text" => "<p><strong>1.</strong> Сделайте предположение об ожидаемых результатах исследования.</p><p>Мощность электрического тока $\text{P}$ связана с напряжением $\text{U}$ и силой тока $\text{I}$ формулой $P = U \cdot I$. Согласно закону Ома для участка цепи, сила тока $\text{I}$ прямо пропорциональна напряжению $\text{U}$ и обратно пропорциональна сопротивлению $\text{R}$: $I = U/R$. Подставив выражение для силы тока в формулу мощности, получим: $P = U \cdot (U/R) = U^2/R$.</p><p>Поскольку сопротивление резистора $\text{R}$ является постоянной величиной, можно предположить, что мощность электрического тока в резисторе прямо пропорциональна квадрату напряжения на нем. Следовательно, график зависимости мощности от напряжения должен представлять собой ветвь параболы.</p><p><strong>Ответ:</strong> Ожидается, что мощность тока в резисторе будет увеличиваться с ростом напряжения, причем зависимость будет квадратичной ($P \propto U^2$).</p><p><strong>2.</strong> Соберите электрическую цепь (рис. 140), позволяющую изменять электрический ток в резисторе, а затем измерять силу тока в нём и напряжение на его концах.</p><p><strong>Ответ:</strong> Электрическая цепь собрана в соответствии с рисунком 140.</p><p><strong>3.</strong> Найдите такое положение движка реостата, при котором сила тока в проводнике равна 0,3 А. Измерьте напряжение и рассчитайте мощность тока в проводнике.</p><p><strong>4.</strong> Передвиньте движок реостата так, чтобы сила электрического тока стала 0,4 А, а затем 0,5 и 0,6 А. В каждом случае измерьте напряжение и рассчитайте мощность. Результаты занесите в таблицу 22.</p><p>Для выполнения пунктов 3 и 4 необходимо провести расчеты для заполнения таблицы. Будем использовать сопротивление резистора, указанное в разделе "Приборы и материалы": $R = 2 \text{ Ом}$.</p><p><strong>Дано:</strong></p><p>$R = 2 \text{ Ом}$<br>$I_1 = 0,3 \text{ А}$<br>$I_2 = 0,4 \text{ А}$<br>$I_3 = 0,5 \text{ А}$<br>$I_4 = 0,6 \text{ А}$<br>$\Delta I = 0,08 \text{ А}$ (для всех измерений)<br>$\Delta U_{изм} = 0,2 \text{ В}$ (погрешность измерения вольтметра, указанная в таблице как $\Delta U$)</p><p><strong>Найти:</strong></p><p>$U_1, U_2, U_3, U_4$<br>$P_1, P_2, P_3, P_4$<br>$\Delta P_1, \Delta P_2, \Delta P_3, \Delta P_4$</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Напряжение на резисторе ($\text{U}$) рассчитаем по закону Ома: $U = I \cdot R$.<br>2. Мощность тока ($\text{P}$) рассчитаем по формуле: $P = U \cdot I$.<br>3. Абсолютную погрешность мощности ($\Delta P$) рассчитаем по формуле, данной в условии: $\Delta P = I \Delta U + U \Delta I$.</p><p><u>Расчеты для первого измерения (I = 0,3 А):</u></p><p>$U_1 = I_1 \cdot R = 0,3 \text{ А} \cdot 2 \text{ Ом} = 0,6 \text{ В}$</p><p>$P_1 = U_1 \cdot I_1 = 0,6 \text{ В} \cdot 0,3 \text{ А} = 0,18 \text{ Вт}$</p><p>$\Delta P_1 = I_1 \Delta U + U_1 \Delta I = 0,3 \text{ А} \cdot 0,2 \text{ В} + 0,6 \text{ В} \cdot 0,08 \text{ А} = 0,06 \text{ Вт} + 0,048 \text{ Вт} = 0,108 \text{ Вт}$</p><p>Аналогичные расчеты проводим для остальных значений силы тока.</p><p><u>Расчеты для второго измерения (I = 0,4 А):</u></p><p>$U_2 = 0,4 \text{ А} \cdot 2 \text{ Ом} = 0,8 \text{ В}$</p><p>$P_2 = 0,8 \text{ В} \cdot 0,4 \text{ А} = 0,32 \text{ Вт}$</p><p>$\Delta P_2 = 0,4 \cdot 0,2 + 0,8 \cdot 0,08 = 0,08 + 0,064 = 0,144 \text{ Вт}$</p><p><u>Расчеты для третьего измерения (I = 0,5 А):</u></p><p>$U_3 = 0,5 \text{ А} \cdot 2 \text{ Ом} = 1,0 \text{ В}$</p><p>$P_3 = 1,0 \text{ В} \cdot 0,5 \text{ А} = 0,50 \text{ Вт}$</p><p>$\Delta P_3 = 0,5 \cdot 0,2 + 1,0 \cdot 0,08 = 0,10 + 0,08 = 0,180 \text{ Вт}$</p><p><u>Расчеты для четвертого измерения (I = 0,6 А):</u></p><p>$U_4 = 0,6 \text{ А} \cdot 2 \text{ Ом} = 1,2 \text{ В}$</p><p>$P_4 = 1,2 \text{ В} \cdot 0,6 \text{ А} = 0,72 \text{ Вт}$</p><p>$\Delta P_4 = 0,6 \cdot 0,2 + 1,2 \cdot 0,08 = 0,12 + 0,096 = 0,216 \text{ Вт}$</p><p>Заполненная таблица 22:</p><div class="table-wrap"><table border="1" style="border: 1px solid rgb(0, 0, 0);"><thead><tr><th style="border: 1px solid rgb(0, 0, 0);">№ п/п</th><th style="border: 1px solid rgb(0, 0, 0);">Сила тока I, А</th><th style="border: 1px solid rgb(0, 0, 0);">ΔI, А</th><th style="border: 1px solid rgb(0, 0, 0);">Напряжение U, В</th><th style="border: 1px solid rgb(0, 0, 0);">ΔU, В</th><th style="border: 1px solid rgb(0, 0, 0);">Мощность P, Вт</th><th style="border: 1px solid rgb(0, 0, 0);">ΔP, Вт</th></tr></thead><tbody><tr><td style="border: 1px solid rgb(0, 0, 0);">1</td><td style="border: 1px solid rgb(0, 0, 0);">0,3</td><td style="border: 1px solid rgb(0, 0, 0);">0,08</td><td style="border: 1px solid rgb(0, 0, 0);">0,6</td><td style="border: 1px solid rgb(0, 0, 0);">0,2</td><td style="border: 1px solid rgb(0, 0, 0);">0,18</td><td style="border: 1px solid rgb(0, 0, 0);">0,108</td></tr><tr><td style="border: 1px solid rgb(0, 0, 0);">2</td><td style="border: 1px solid rgb(0, 0, 0);">0,4</td><td style="border: 1px solid rgb(0, 0, 0);">0,08</td><td style="border: 1px solid rgb(0, 0, 0);">0,8</td><td style="border: 1px solid rgb(0, 0, 0);">0,2</td><td style="border: 1px solid rgb(0, 0, 0);">0,32</td><td style="border: 1px solid rgb(0, 0, 0);">0,144</td></tr><tr><td style="border: 1px solid rgb(0, 0, 0);">3</td><td style="border: 1px solid rgb(0, 0, 0);">0,5</td><td style="border: 1px solid rgb(0, 0, 0);">0,08</td><td style="border: 1px solid rgb(0, 0, 0);">1,0</td><td style="border: 1px solid rgb(0, 0, 0);">0,2</td><td style="border: 1px solid rgb(0, 0, 0);">0,50</td><td style="border: 1px solid rgb(0, 0, 0);">0,180</td></tr><tr><td style="border: 1px solid rgb(0, 0, 0);">4</td><td style="border: 1px solid rgb(0, 0, 0);">0,6</td><td style="border: 1px solid rgb(0, 0, 0);">0,08</td><td style="border: 1px solid rgb(0, 0, 0);">1,2</td><td style="border: 1px solid rgb(0, 0, 0);">0,2</td><td style="border: 1px solid rgb(0, 0, 0);">0,72</td><td style="border: 1px solid rgb(0, 0, 0);">0,216</td></tr></tbody></table></div><p><strong>Ответ:</strong> Результаты измерений и расчетов занесены в таблицу.</p><p><strong>5.</strong> В соответствии с таблицей 22 постройте график зависимости мощности тока в проводнике от напряжения на нём.</p><p>График строится по точкам $(U; P)$ из таблицы: $(0,6; 0,18)$, $(0,8; 0,32)$, $(1,0; 0,50)$, $(1,2; 0,72)$.</p><svg width="500" height="400" xmlns="http://www.w3.org/2000/svg"><!-- Оси --><line x1="50" y1="350" x2="480" y2="350" stroke="black" stroke-width="2"></line><line x1="50" y1="350" x2="50" y2="20" stroke="black" stroke-width="2"></line><!-- Стрелки на осях --><polyline points="475,345 480,350 475,355" fill="none" stroke="black" stroke-width="2"></polyline><polyline points="45,25 50,20 55,25" fill="none" stroke="black" stroke-width="2"></polyline><!-- Подписи осей --><text x="400" y="375" font-family="Arial" font-size="14">Напряжение U, В</text><text x="60" y="30" font-family="Arial" font-size="14" transform="rotate(-90, 60, 30)">Мощность P, Вт</text><!-- Разметка оси X (Напряжение) --><text x="45" y="370" font-family="Arial" font-size="12">0</text><line x1="120" y1="345" x2="120" y2="355" stroke="black" stroke-width="1"></line><text x="115" y="370" font-family="Arial" font-size="12">0,2</text><line x1="190" y1="345" x2="190" y2="355" stroke="black" stroke-width="1"></line><text x="185" y="370" font-family="Arial" font-size="12">0,4</text><line x1="260" y1="345" x2="260" y2="355" stroke="black" stroke-width="1"></line><text x="255" y="370" font-family="Arial" font-size="12">0,6</text><line x1="330" y1="345" x2="330" y2="355" stroke="black" stroke-width="1"></line><text x="325" y="370" font-family="Arial" font-size="12">0,8</text><line x1="400" y1="345" x2="400" y2="355" stroke="black" stroke-width="1"></line><text x="395" y="370" font-family="Arial" font-size="12">1,0</text><line x1="470" y1="345" x2="470" y2="355" stroke="black" stroke-width="1"></line><text x="465" y="370" font-family="Arial" font-size="12">1,2</text><!-- Разметка оси Y (Мощность) --><line x1="45" y1="310" x2="55" y2="310" stroke="black" stroke-width="1"></line><text x="20" y="315" font-family="Arial" font-size="12">0,1</text><line x1="45" y1="270" x2="55" y2="270" stroke="black" stroke-width="1"></line><text x="20" y="275" font-family="Arial" font-size="12">0,2</text><line x1="45" y1="230" x2="55" y2="230" stroke="black" stroke-width="1"></line><text x="20" y="235" font-family="Arial" font-size="12">0,3</text><line x1="45" y1="190" x2="55" y2="190" stroke="black" stroke-width="1"></line><text x="20" y="195" font-family="Arial" font-size="12">0,4</text><line x1="45" y1="150" x2="55" y2="150" stroke="black" stroke-width="1"></line><text x="20" y="155" font-family="Arial" font-size="12">0,5</text><line x1="45" y1="110" x2="55" y2="110" stroke="black" stroke-width="1"></line><text x="20" y="115" font-family="Arial" font-size="12">0,6</text><line x1="45" y1="70" x2="55" y2="70" stroke="black" stroke-width="1"></line><text x="20" y="75" font-family="Arial" font-size="12">0,7</text><line x1="45" y1="30" x2="55" y2="30" stroke="black" stroke-width="1"></line><text x="20" y="35" font-family="Arial" font-size="12">0,8</text><!-- График (параболическая кривая) --><!-- Масштаб: X: 350px на 1.0В (U=0.6 -> x=50+210=260), Y: 400px на 1.0Вт (P=0.18 -> y=350-72=278) --><path d="M 50 350 Q 290 350, 470 30" stroke="blue" stroke-width="2" fill="none" stroke-dasharray="4"></path><!-- Точки данных --><circle cx="260" cy="278" r="4" fill="red"></circle><!-- (0.6, 0.18) --><circle cx="330" cy="222" r="4" fill="red"></circle><!-- (0.8, 0.32) --><circle cx="400" cy="150" r="4" fill="red"></circle><!-- (1.0, 0.50) --><circle cx="470" cy="62" r="4" fill="red"></circle><!-- (1.2, 0.72) --></svg><p><strong>Ответ:</strong> График зависимости мощности от напряжения построен.</p><p><strong>6.</strong> По графику сделайте вывод.</p><p>Анализируя построенный график, можно увидеть, что с увеличением напряжения на резисторе, выделяемая на нем мощность также возрастает. При этом зависимость не является линейной: график представляет собой кривую, похожую на ветвь параболы, которая начинается из начала координат. Это означает, что мощность растет быстрее, чем напряжение. Данный результат полностью подтверждает теоретическое предположение, что мощность электрического тока на участке цепи прямо пропорциональна квадрату напряжения на этом участке ($P = U^2/R$).</p><p><strong>Ответ:</strong> Мощность электрического тока в резисторе прямо пропорциональна квадрату напряжения на его концах.</p>" ] #original: array:6 [ "id" => 1851960 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1081} "task" => array:2 [ "refs" => "1492472" "type" => "task" ] "text" => "<p><strong>1.</strong> Сделайте предположение об ожидаемых результатах исследования.</p><p>Мощность электрического тока $\text{P}$ связана с напряжением $\text{U}$ и силой тока $\text{I}$ формулой $P = U \cdot I$. Согласно закону Ома для участка цепи, сила тока $\text{I}$ прямо пропорциональна напряжению $\text{U}$ и обратно пропорциональна сопротивлению $\text{R}$: $I = U/R$. Подставив выражение для силы тока в формулу мощности, получим: $P = U \cdot (U/R) = U^2/R$.</p><p>Поскольку сопротивление резистора $\text{R}$ является постоянной величиной, можно предположить, что мощность электрического тока в резисторе прямо пропорциональна квадрату напряжения на нем. Следовательно, график зависимости мощности от напряжения должен представлять собой ветвь параболы.</p><p><strong>Ответ:</strong> Ожидается, что мощность тока в резисторе будет увеличиваться с ростом напряжения, причем зависимость будет квадратичной ($P \propto U^2$).</p><p><strong>2.</strong> Соберите электрическую цепь (рис. 140), позволяющую изменять электрический ток в резисторе, а затем измерять силу тока в нём и напряжение на его концах.</p><p><strong>Ответ:</strong> Электрическая цепь собрана в соответствии с рисунком 140.</p><p><strong>3.</strong> Найдите такое положение движка реостата, при котором сила тока в проводнике равна 0,3 А. Измерьте напряжение и рассчитайте мощность тока в проводнике.</p><p><strong>4.</strong> Передвиньте движок реостата так, чтобы сила электрического тока стала 0,4 А, а затем 0,5 и 0,6 А. В каждом случае измерьте напряжение и рассчитайте мощность. Результаты занесите в таблицу 22.</p><p>Для выполнения пунктов 3 и 4 необходимо провести расчеты для заполнения таблицы. Будем использовать сопротивление резистора, указанное в разделе "Приборы и материалы": $R = 2 \text{ Ом}$.</p><p><strong>Дано:</strong></p><p>$R = 2 \text{ Ом}$<br>$I_1 = 0,3 \text{ А}$<br>$I_2 = 0,4 \text{ А}$<br>$I_3 = 0,5 \text{ А}$<br>$I_4 = 0,6 \text{ А}$<br>$\Delta I = 0,08 \text{ А}$ (для всех измерений)<br>$\Delta U_{изм} = 0,2 \text{ В}$ (погрешность измерения вольтметра, указанная в таблице как $\Delta U$)</p><p><strong>Найти:</strong></p><p>$U_1, U_2, U_3, U_4$<br>$P_1, P_2, P_3, P_4$<br>$\Delta P_1, \Delta P_2, \Delta P_3, \Delta P_4$</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Напряжение на резисторе ($\text{U}$) рассчитаем по закону Ома: $U = I \cdot R$.<br>2. Мощность тока ($\text{P}$) рассчитаем по формуле: $P = U \cdot I$.<br>3. Абсолютную погрешность мощности ($\Delta P$) рассчитаем по формуле, данной в условии: $\Delta P = I \Delta U + U \Delta I$.</p><p><u>Расчеты для первого измерения (I = 0,3 А):</u></p><p>$U_1 = I_1 \cdot R = 0,3 \text{ А} \cdot 2 \text{ Ом} = 0,6 \text{ В}$</p><p>$P_1 = U_1 \cdot I_1 = 0,6 \text{ В} \cdot 0,3 \text{ А} = 0,18 \text{ Вт}$</p><p>$\Delta P_1 = I_1 \Delta U + U_1 \Delta I = 0,3 \text{ А} \cdot 0,2 \text{ В} + 0,6 \text{ В} \cdot 0,08 \text{ А} = 0,06 \text{ Вт} + 0,048 \text{ Вт} = 0,108 \text{ Вт}$</p><p>Аналогичные расчеты проводим для остальных значений силы тока.</p><p><u>Расчеты для второго измерения (I = 0,4 А):</u></p><p>$U_2 = 0,4 \text{ А} \cdot 2 \text{ Ом} = 0,8 \text{ В}$</p><p>$P_2 = 0,8 \text{ В} \cdot 0,4 \text{ А} = 0,32 \text{ Вт}$</p><p>$\Delta P_2 = 0,4 \cdot 0,2 + 0,8 \cdot 0,08 = 0,08 + 0,064 = 0,144 \text{ Вт}$</p><p><u>Расчеты для третьего измерения (I = 0,5 А):</u></p><p>$U_3 = 0,5 \text{ А} \cdot 2 \text{ Ом} = 1,0 \text{ В}$</p><p>$P_3 = 1,0 \text{ В} \cdot 0,5 \text{ А} = 0,50 \text{ Вт}$</p><p>$\Delta P_3 = 0,5 \cdot 0,2 + 1,0 \cdot 0,08 = 0,10 + 0,08 = 0,180 \text{ Вт}$</p><p><u>Расчеты для четвертого измерения (I = 0,6 А):</u></p><p>$U_4 = 0,6 \text{ А} \cdot 2 \text{ Ом} = 1,2 \text{ В}$</p><p>$P_4 = 1,2 \text{ В} \cdot 0,6 \text{ А} = 0,72 \text{ Вт}$</p><p>$\Delta P_4 = 0,6 \cdot 0,2 + 1,2 \cdot 0,08 = 0,12 + 0,096 = 0,216 \text{ Вт}$</p><p>Заполненная таблица 22:</p><div class="table-wrap"><table border="1" style="border: 1px solid rgb(0, 0, 0);"><thead><tr><th style="border: 1px solid rgb(0, 0, 0);">№ п/п</th><th style="border: 1px solid rgb(0, 0, 0);">Сила тока I, А</th><th style="border: 1px solid rgb(0, 0, 0);">ΔI, А</th><th style="border: 1px solid rgb(0, 0, 0);">Напряжение U, В</th><th style="border: 1px solid rgb(0, 0, 0);">ΔU, В</th><th style="border: 1px solid rgb(0, 0, 0);">Мощность P, Вт</th><th style="border: 1px solid rgb(0, 0, 0);">ΔP, Вт</th></tr></thead><tbody><tr><td style="border: 1px solid rgb(0, 0, 0);">1</td><td style="border: 1px solid rgb(0, 0, 0);">0,3</td><td style="border: 1px solid rgb(0, 0, 0);">0,08</td><td style="border: 1px solid rgb(0, 0, 0);">0,6</td><td style="border: 1px solid rgb(0, 0, 0);">0,2</td><td style="border: 1px solid rgb(0, 0, 0);">0,18</td><td style="border: 1px solid rgb(0, 0, 0);">0,108</td></tr><tr><td style="border: 1px solid rgb(0, 0, 0);">2</td><td style="border: 1px solid rgb(0, 0, 0);">0,4</td><td style="border: 1px solid rgb(0, 0, 0);">0,08</td><td style="border: 1px solid rgb(0, 0, 0);">0,8</td><td style="border: 1px solid rgb(0, 0, 0);">0,2</td><td style="border: 1px solid rgb(0, 0, 0);">0,32</td><td style="border: 1px solid rgb(0, 0, 0);">0,144</td></tr><tr><td style="border: 1px solid rgb(0, 0, 0);">3</td><td style="border: 1px solid rgb(0, 0, 0);">0,5</td><td style="border: 1px solid rgb(0, 0, 0);">0,08</td><td style="border: 1px solid rgb(0, 0, 0);">1,0</td><td style="border: 1px solid rgb(0, 0, 0);">0,2</td><td style="border: 1px solid rgb(0, 0, 0);">0,50</td><td style="border: 1px solid rgb(0, 0, 0);">0,180</td></tr><tr><td style="border: 1px solid rgb(0, 0, 0);">4</td><td style="border: 1px solid rgb(0, 0, 0);">0,6</td><td style="border: 1px solid rgb(0, 0, 0);">0,08</td><td style="border: 1px solid rgb(0, 0, 0);">1,2</td><td style="border: 1px solid rgb(0, 0, 0);">0,2</td><td style="border: 1px solid rgb(0, 0, 0);">0,72</td><td style="border: 1px solid rgb(0, 0, 0);">0,216</td></tr></tbody></table></div><p><strong>Ответ:</strong> Результаты измерений и расчетов занесены в таблицу.</p><p><strong>5.</strong> В соответствии с таблицей 22 постройте график зависимости мощности тока в проводнике от напряжения на нём.</p><p>График строится по точкам $(U; P)$ из таблицы: $(0,6; 0,18)$, $(0,8; 0,32)$, $(1,0; 0,50)$, $(1,2; 0,72)$.</p><svg width="500" height="400" xmlns="http://www.w3.org/2000/svg"><!-- Оси --><line x1="50" y1="350" x2="480" y2="350" stroke="black" stroke-width="2"></line><line x1="50" y1="350" x2="50" y2="20" stroke="black" stroke-width="2"></line><!-- Стрелки на осях --><polyline points="475,345 480,350 475,355" fill="none" stroke="black" stroke-width="2"></polyline><polyline points="45,25 50,20 55,25" fill="none" stroke="black" stroke-width="2"></polyline><!-- Подписи осей --><text x="400" y="375" font-family="Arial" font-size="14">Напряжение U, В</text><text x="60" y="30" font-family="Arial" font-size="14" transform="rotate(-90, 60, 30)">Мощность P, Вт</text><!-- Разметка оси X (Напряжение) --><text x="45" y="370" font-family="Arial" font-size="12">0</text><line x1="120" y1="345" x2="120" y2="355" stroke="black" stroke-width="1"></line><text x="115" y="370" font-family="Arial" font-size="12">0,2</text><line x1="190" y1="345" x2="190" y2="355" stroke="black" stroke-width="1"></line><text x="185" y="370" font-family="Arial" font-size="12">0,4</text><line x1="260" y1="345" x2="260" y2="355" stroke="black" stroke-width="1"></line><text x="255" y="370" font-family="Arial" font-size="12">0,6</text><line x1="330" y1="345" x2="330" y2="355" stroke="black" stroke-width="1"></line><text x="325" y="370" font-family="Arial" font-size="12">0,8</text><line x1="400" y1="345" x2="400" y2="355" stroke="black" stroke-width="1"></line><text x="395" y="370" font-family="Arial" font-size="12">1,0</text><line x1="470" y1="345" x2="470" y2="355" stroke="black" stroke-width="1"></line><text x="465" y="370" font-family="Arial" font-size="12">1,2</text><!-- Разметка оси Y (Мощность) --><line x1="45" y1="310" x2="55" y2="310" stroke="black" stroke-width="1"></line><text x="20" y="315" font-family="Arial" font-size="12">0,1</text><line x1="45" y1="270" x2="55" y2="270" stroke="black" stroke-width="1"></line><text x="20" y="275" font-family="Arial" font-size="12">0,2</text><line x1="45" y1="230" x2="55" y2="230" stroke="black" stroke-width="1"></line><text x="20" y="235" font-family="Arial" font-size="12">0,3</text><line x1="45" y1="190" x2="55" y2="190" stroke="black" stroke-width="1"></line><text x="20" y="195" font-family="Arial" font-size="12">0,4</text><line x1="45" y1="150" x2="55" y2="150" stroke="black" stroke-width="1"></line><text x="20" y="155" font-family="Arial" font-size="12">0,5</text><line x1="45" y1="110" x2="55" y2="110" stroke="black" stroke-width="1"></line><text x="20" y="115" font-family="Arial" font-size="12">0,6</text><line x1="45" y1="70" x2="55" y2="70" stroke="black" stroke-width="1"></line><text x="20" y="75" font-family="Arial" font-size="12">0,7</text><line x1="45" y1="30" x2="55" y2="30" stroke="black" stroke-width="1"></line><text x="20" y="35" font-family="Arial" font-size="12">0,8</text><!-- График (параболическая кривая) --><!-- Масштаб: X: 350px на 1.0В (U=0.6 -> x=50+210=260), Y: 400px на 1.0Вт (P=0.18 -> y=350-72=278) --><path d="M 50 350 Q 290 350, 470 30" stroke="blue" stroke-width="2" fill="none" stroke-dasharray="4"></path><!-- Точки данных --><circle cx="260" cy="278" r="4" fill="red"></circle><!-- (0.6, 0.18) --><circle cx="330" cy="222" r="4" fill="red"></circle><!-- (0.8, 0.32) --><circle cx="400" cy="150" r="4" fill="red"></circle><!-- (1.0, 0.50) --><circle cx="470" cy="62" r="4" fill="red"></circle><!-- (1.2, 0.72) --></svg><p><strong>Ответ:</strong> График зависимости мощности от напряжения построен.</p><p><strong>6.</strong> По графику сделайте вывод.</p><p>Анализируя построенный график, можно увидеть, что с увеличением напряжения на резисторе, выделяемая на нем мощность также возрастает. При этом зависимость не является линейной: график представляет собой кривую, похожую на ветвь параболы, которая начинается из начала координат. Это означает, что мощность растет быстрее, чем напряжение. Данный результат полностью подтверждает теоретическое предположение, что мощность электрического тока на участке цепи прямо пропорциональна квадрату напряжения на этом участке ($P = U^2/R$).</p><p><strong>Ответ:</strong> Мощность электрического тока в резисторе прямо пропорциональна квадрату напряжения на его концах.</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" => "1492473" "type" => "task" ] "previous" => array:2 [ "refs" => "1492471" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1088 #items: array:1 [ 0 => App\Models\Book {#1030} ] #escapeWhenCastingToString: false } "page" => Illuminate\Database\Eloquent\Collection {#1289 #items: array:1 [ 0 => 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+preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1492462 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "152" "field_page_end" => null "field_url" => "/8-klass/fizika/izergin-uchebnik/25-1" "field_display_title" => "1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1146 …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 {#1148 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1149 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1155 …2} "content" => Illuminate\Database\Eloquent\Collection {#1165 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1176 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1492462 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "152" "field_page_end" => null "field_url" => "/8-klass/fizika/izergin-uchebnik/25-1" "field_display_title" => "1" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1146 …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 {#1148 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1149 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1155 …2} "content" => Illuminate\Database\Eloquent\Collection {#1165 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1176 …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 {#1177 #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" => 1492463 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "152" "field_page_end" => null "field_url" => "/8-klass/fizika/izergin-uchebnik/25-2" "field_display_title" => "2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1178 …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 {#1179 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1180 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1181 …2} "content" => Illuminate\Database\Eloquent\Collection {#1182 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1187 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1492463 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "152" "field_page_end" => null "field_url" => "/8-klass/fizika/izergin-uchebnik/25-2" "field_display_title" => "2" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1178 …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 {#1179 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1180 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1181 …2} "content" => Illuminate\Database\Eloquent\Collection {#1182 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1187 …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 {#1188 #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" => 1492464 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "152" "field_page_end" => null "field_url" => "/8-klass/fizika/izergin-uchebnik/25-3" "field_display_title" => "3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1189 …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 {#1190 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1191 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1192 …2} "content" => Illuminate\Database\Eloquent\Collection {#1193 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1198 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1492464 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "152" "field_page_end" => null "field_url" => "/8-klass/fizika/izergin-uchebnik/25-3" "field_display_title" => "3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1189 …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 {#1190 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1191 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1192 …2} "content" => Illuminate\Database\Eloquent\Collection {#1193 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1198 …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 {#1199 #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" => 1492465 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "152" "field_page_end" => null "field_url" => "/8-klass/fizika/izergin-uchebnik/25-4" "field_display_title" => "4" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1200 …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 {#1201 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1202 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1203 …2} "content" => Illuminate\Database\Eloquent\Collection {#1204 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1209 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1492465 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "152" "field_page_end" => null "field_url" => "/8-klass/fizika/izergin-uchebnik/25-4" "field_display_title" => "4" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1200 …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 {#1201 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1202 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1203 …2} "content" => Illuminate\Database\Eloquent\Collection {#1204 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1209 …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 {#1210 #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" => 1492466 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "152" "field_page_end" => null "field_url" => "/8-klass/fizika/izergin-uchebnik/25-5" "field_display_title" => "5" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1211 …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 {#1212 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1213 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1214 …2} "content" => Illuminate\Database\Eloquent\Collection {#1215 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1220 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1492466 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "152" "field_page_end" => null "field_url" => "/8-klass/fizika/izergin-uchebnik/25-5" "field_display_title" => "5" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1211 …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 {#1212 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1213 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1214 …2} "content" => Illuminate\Database\Eloquent\Collection {#1215 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1220 …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 {#1221 #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" => 1492467 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "152" "field_page_end" => null "field_url" => "/8-klass/fizika/izergin-uchebnik/25-6" "field_display_title" => "6" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1222 …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 {#1223 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1224 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1225 …2} "content" => Illuminate\Database\Eloquent\Collection {#1226 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1231 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1492467 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "152" "field_page_end" => null "field_url" => "/8-klass/fizika/izergin-uchebnik/25-6" "field_display_title" => "6" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1222 …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 {#1223 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1224 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1225 …2} "content" => Illuminate\Database\Eloquent\Collection {#1226 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1231 …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 => "*" ] } 6 => App\Models\Task {#1232 #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" => 1492468 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "152" "field_page_end" => null "field_url" => "/8-klass/fizika/izergin-uchebnik/25-7" "field_display_title" => "7" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1233 …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 {#1234 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1235 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1236 …2} "content" => Illuminate\Database\Eloquent\Collection {#1237 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1242 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1492468 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "152" "field_page_end" => null "field_url" => "/8-klass/fizika/izergin-uchebnik/25-7" "field_display_title" => "7" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1233 …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 {#1234 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1235 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1236 …2} "content" => Illuminate\Database\Eloquent\Collection {#1237 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1242 …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 => "*" ] } 7 => App\Models\Task {#1243 #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" => 1492469 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "152" "field_page_end" => null "field_url" => "/8-klass/fizika/izergin-uchebnik/25-8" "field_display_title" => "8" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1244 …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 {#1245 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1246 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1247 …2} "content" => Illuminate\Database\Eloquent\Collection {#1248 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1253 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1492469 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "152" "field_page_end" => null "field_url" => "/8-klass/fizika/izergin-uchebnik/25-8" "field_display_title" => "8" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1244 …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 {#1245 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1246 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1247 …2} "content" => Illuminate\Database\Eloquent\Collection {#1248 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1253 …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 => "*" ] } 8 => App\Models\Task {#1254 #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" => 1492470 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "152" "field_page_end" => null "field_url" => "/8-klass/fizika/izergin-uchebnik/25-9" "field_display_title" => "9" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1255 …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 {#1256 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1257 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1258 …2} "content" => Illuminate\Database\Eloquent\Collection {#1259 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1264 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1492470 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "152" "field_page_end" => null "field_url" => "/8-klass/fizika/izergin-uchebnik/25-9" "field_display_title" => "9" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1255 …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 {#1256 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1257 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1258 …2} "content" => Illuminate\Database\Eloquent\Collection {#1259 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1264 …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 => "*" ] } 9 => App\Models\Task 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Лабораторная работа 7 (с. 152)
Условие. Лабораторная работа 7 (с. 152)
скриншот условия
Лабораторная работа 7
Исследование зависимости мощности электрического тока в резисторе от напряжения на резисторе
Цель работы: научиться вычислять мощность электрического тока. Приобрести первичные навыки простейшего исследования.
Приборы и материалы: источник тока, резистор сопротивлением 2 Ом, реостат, ключ, вольтметр, амперметр, семь соединительных проводов.
Порядок выполнения работы
1. Сделайте предположение об ожидаемых результатах исследования.
2. Соберите электрическую цепь (рис. 140), позволяющую изменять электрический ток в резисторе, а затем измерять силу тока в нём и напряжение на его концах.
3. Найдите такое положение движка реостата, при котором сила тока в проводнике равна 0,3 А. Измерьте напряжение и рассчитайте мощность тока в проводнике. Формула для расчёта абсолютной погрешности мощности:
$\Delta P = I\Delta U + U\Delta I.$
Рис. 140. К заданию 2
Результаты занесите в таблицу 22.
4. Передвиньте движок реостата так, чтобы сила электрического тока стала 0,4 А, а затем 0,5 и 0,6 А. В каждом случае измерьте напряжение и рассчитайте мощность. Результаты занесите в таблицу 22.
Таблица 22
№ п/п | Сила тока $\text{I}$, А | $\Delta I$, А | Напряжение $\text{U}$, В | $\Delta U$, В | Мощность $\text{P}$, Вт | $\Delta P$, Вт
1 | 0,3 | 0,08 | 0,2 | | |
2 | 0,4 | 0,08 | 0,2 | | |
3 | 0,5 | 0,08 | 0,2 | | |
4 | 0,6 | 0,08 | 0,2 | | |
5. В соответствии с таблицей 22 постройте график зависимости мощности тока в проводнике от напряжения на нём.
6. По графику сделайте вывод.
Решение. Лабораторная работа 7 (с. 152)
1. Сделайте предположение об ожидаемых результатах исследования.
Мощность электрического тока $\text{P}$ связана с напряжением $\text{U}$ и силой тока $\text{I}$ формулой $P = U \cdot I$. Согласно закону Ома для участка цепи, сила тока $\text{I}$ прямо пропорциональна напряжению $\text{U}$ и обратно пропорциональна сопротивлению $\text{R}$: $I = U/R$. Подставив выражение для силы тока в формулу мощности, получим: $P = U \cdot (U/R) = U^2/R$.
Поскольку сопротивление резистора $\text{R}$ является постоянной величиной, можно предположить, что мощность электрического тока в резисторе прямо пропорциональна квадрату напряжения на нем. Следовательно, график зависимости мощности от напряжения должен представлять собой ветвь параболы.
Ответ: Ожидается, что мощность тока в резисторе будет увеличиваться с ростом напряжения, причем зависимость будет квадратичной ($P \propto U^2$).
2. Соберите электрическую цепь (рис. 140), позволяющую изменять электрический ток в резисторе, а затем измерять силу тока в нём и напряжение на его концах.
Ответ: Электрическая цепь собрана в соответствии с рисунком 140.
3. Найдите такое положение движка реостата, при котором сила тока в проводнике равна 0,3 А. Измерьте напряжение и рассчитайте мощность тока в проводнике.
4. Передвиньте движок реостата так, чтобы сила электрического тока стала 0,4 А, а затем 0,5 и 0,6 А. В каждом случае измерьте напряжение и рассчитайте мощность. Результаты занесите в таблицу 22.
Для выполнения пунктов 3 и 4 необходимо провести расчеты для заполнения таблицы. Будем использовать сопротивление резистора, указанное в разделе "Приборы и материалы": $R = 2 \text{ Ом}$.
Дано:
$R = 2 \text{ Ом}$
$I_1 = 0,3 \text{ А}$
$I_2 = 0,4 \text{ А}$
$I_3 = 0,5 \text{ А}$
$I_4 = 0,6 \text{ А}$
$\Delta I = 0,08 \text{ А}$ (для всех измерений)
$\Delta U_{изм} = 0,2 \text{ В}$ (погрешность измерения вольтметра, указанная в таблице как $\Delta U$)
Найти:
$U_1, U_2, U_3, U_4$
$P_1, P_2, P_3, P_4$
$\Delta P_1, \Delta P_2, \Delta P_3, \Delta P_4$
Решение:
1. Напряжение на резисторе ($\text{U}$) рассчитаем по закону Ома: $U = I \cdot R$.
2. Мощность тока ($\text{P}$) рассчитаем по формуле: $P = U \cdot I$.
3. Абсолютную погрешность мощности ($\Delta P$) рассчитаем по формуле, данной в условии: $\Delta P = I \Delta U + U \Delta I$.
Расчеты для первого измерения (I = 0,3 А):
$U_1 = I_1 \cdot R = 0,3 \text{ А} \cdot 2 \text{ Ом} = 0,6 \text{ В}$
$P_1 = U_1 \cdot I_1 = 0,6 \text{ В} \cdot 0,3 \text{ А} = 0,18 \text{ Вт}$
$\Delta P_1 = I_1 \Delta U + U_1 \Delta I = 0,3 \text{ А} \cdot 0,2 \text{ В} + 0,6 \text{ В} \cdot 0,08 \text{ А} = 0,06 \text{ Вт} + 0,048 \text{ Вт} = 0,108 \text{ Вт}$
Аналогичные расчеты проводим для остальных значений силы тока.
Расчеты для второго измерения (I = 0,4 А):
$U_2 = 0,4 \text{ А} \cdot 2 \text{ Ом} = 0,8 \text{ В}$
$P_2 = 0,8 \text{ В} \cdot 0,4 \text{ А} = 0,32 \text{ Вт}$
$\Delta P_2 = 0,4 \cdot 0,2 + 0,8 \cdot 0,08 = 0,08 + 0,064 = 0,144 \text{ Вт}$
Расчеты для третьего измерения (I = 0,5 А):
$U_3 = 0,5 \text{ А} \cdot 2 \text{ Ом} = 1,0 \text{ В}$
$P_3 = 1,0 \text{ В} \cdot 0,5 \text{ А} = 0,50 \text{ Вт}$
$\Delta P_3 = 0,5 \cdot 0,2 + 1,0 \cdot 0,08 = 0,10 + 0,08 = 0,180 \text{ Вт}$
Расчеты для четвертого измерения (I = 0,6 А):
$U_4 = 0,6 \text{ А} \cdot 2 \text{ Ом} = 1,2 \text{ В}$
$P_4 = 1,2 \text{ В} \cdot 0,6 \text{ А} = 0,72 \text{ Вт}$
$\Delta P_4 = 0,6 \cdot 0,2 + 1,2 \cdot 0,08 = 0,12 + 0,096 = 0,216 \text{ Вт}$
Заполненная таблица 22:
| № п/п | Сила тока I, А | ΔI, А | Напряжение U, В | ΔU, В | Мощность P, Вт | ΔP, Вт |
|---|---|---|---|---|---|---|
| 1 | 0,3 | 0,08 | 0,6 | 0,2 | 0,18 | 0,108 |
| 2 | 0,4 | 0,08 | 0,8 | 0,2 | 0,32 | 0,144 |
| 3 | 0,5 | 0,08 | 1,0 | 0,2 | 0,50 | 0,180 |
| 4 | 0,6 | 0,08 | 1,2 | 0,2 | 0,72 | 0,216 |
Ответ: Результаты измерений и расчетов занесены в таблицу.
5. В соответствии с таблицей 22 постройте график зависимости мощности тока в проводнике от напряжения на нём.
График строится по точкам $(U; P)$ из таблицы: $(0,6; 0,18)$, $(0,8; 0,32)$, $(1,0; 0,50)$, $(1,2; 0,72)$.
Ответ: График зависимости мощности от напряжения построен.
6. По графику сделайте вывод.
Анализируя построенный график, можно увидеть, что с увеличением напряжения на резисторе, выделяемая на нем мощность также возрастает. При этом зависимость не является линейной: график представляет собой кривую, похожую на ветвь параболы, которая начинается из начала координат. Это означает, что мощность растет быстрее, чем напряжение. Данный результат полностью подтверждает теоретическое предположение, что мощность электрического тока на участке цепи прямо пропорциональна квадрату напряжения на этом участке ($P = U^2/R$).
Ответ: Мощность электрического тока в резисторе прямо пропорциональна квадрату напряжения на его концах.
Другие задания:
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