Номер 10, страница 209 - гдз по физике 8 класс учебник Изергин

Физика, 8 класс Учебник, автор: Изергин Эдуард Тимофеевич, издательство Русское слово, Москва, 2019

Авторы: Изергин Э. Т.

Тип: Учебник

Издательство: Русское слово

Год издания: 2019 - 2026

Цвет обложки: синий

ISBN: 978-5-533-01067-2

Глава IV. Электромагнитные явления. Параграф 37. Трансформатор. Передача электрической энергии на расстояние - номер 10, страница 209.

App\Models\Task {#1024 // resources/views/models/task/default.blade.php
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  #table: "tasks"
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  #perPage: 15
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  #escapeWhenCastingToString: false
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    "field_display_title" => "10"
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    "field_task_type" => Illuminate\Database\Eloquent\Collection {#331
      #items: array:1 [
        0 => App\Models\Term {#1029
          #connection: "mysql"
          #table: "terms"
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              "field_genitive_case" => "номера"
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            "field_short_name" => ""
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                    "field_class" => Illuminate\Database\Eloquent\Collection {#1036
                      #items: array:1 [
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                          #connection: "mysql"
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                      #items: array:1 [
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                          #connection: "mysql"
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                        }
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                          #connection: "mysql"
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                           …27
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                0 => App\Models\Branch {#1096
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          #attributeCastCache: []
          #dateFormat: null
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          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Element {#1110
          #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" => 1851872
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1111
              #items: array:1 [
                0 => App\Models\Edition {#1112
                  #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 {#1113
                      #items: array:1 [
                        0 => App\Models\Term {#1114 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "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 {#1115
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1116
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1117
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "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 {#1113}
                    "field_content_type" => "free"
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                    "field_moderator" => "tolik"
                    "field_edition_type" => "solution"
                    "field_root_dir" => "1-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1115}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1116}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1117}
                    "field_content_source" => null
                  ]
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                    0 => "*"
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "task" => array:2 [
              "refs" => "1492555"
              "type" => "task"
            ]
            "text" => "<p><strong>Дано:</strong></p><p>Напряжение на первой вторичной обмотке $U_2 = 6,3 \text{ В}$</p><p>Напряжение на второй вторичной обмотке $U_3 = 250 \text{ В}$</p><p>Число витков в первичной обмотке $N_1 = 1000$</p><p>Напряжение в сети (на первичной обмотке) $U_1 = 220 \text{ В}$</p><p><em>Все величины даны в системе СИ, перевод не требуется.</em></p><p><strong>Найти:</strong></p><p>Число витков в первой вторичной обмотке — $N_2$</p><p>Число витков во второй вторичной обмотке — $N_3$</p><p><strong>Решение:</strong></p><p>Для идеального трансформатора (пренебрегая потерями) отношение напряжений на первичной и вторичной обмотках равно отношению числа витков в этих обмотках. Это соотношение описывается формулой коэффициента трансформации:</p><p>$\frac{U_{вых}}{U_{вх}} = \frac{N_{вых}}{N_{вх}}$</p><p>Применим эту формулу для каждой из двух вторичных обмоток.</p><p><strong>Расчет числа витков для обмотки с напряжением 6,3 В</strong></p><p>Для первой вторичной обмотки формула будет выглядеть так:</p><p>$\frac{U_2}{U_1} = \frac{N_2}{N_1}$</p><p>Выразим из этой формулы искомое число витков $N_2$:</p><p>$N_2 = N_1 \cdot \frac{U_2}{U_1}$</p><p>Подставим числовые значения:</p><p>$N_2 = 1000 \cdot \frac{6,3 \text{ В}}{220 \text{ В}} \approx 28,636$</p><p>Число витков должно быть целым, поэтому округляем полученное значение до ближайшего целого числа.</p><p>$N_2 \approx 29$ витков.</p><p><strong>Ответ:</strong> для получения напряжения 6,3 В первая вторичная обмотка должна содержать 29 витков.</p><p><strong>Расчет числа витков для обмотки с напряжением 250 В</strong></p><p>Для второй вторичной обмотки формула будет аналогичной:</p><p>$\frac{U_3}{U_1} = \frac{N_3}{N_1}$</p><p>Выразим искомое число витков $N_3$:</p><p>$N_3 = N_1 \cdot \frac{U_3}{U_1}$</p><p>Подставим числовые значения:</p><p>$N_3 = 1000 \cdot \frac{250 \text{ В}}{220 \text{ В}} = 1000 \cdot \frac{25}{22} \approx 1136,363$</p><p>Округляем результат до ближайшего целого числа.</p><p>$N_3 \approx 1136$ витков.</p><p><strong>Ответ:</strong> для получения напряжения 250 В вторая вторичная обмотка должна содержать 1136 витков.</p>"
          ]
          #original: array:6 [
            "id" => 1851872
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1111}
            "task" => array:2 [
              "refs" => "1492555"
              "type" => "task"
            ]
            "text" => "<p><strong>Дано:</strong></p><p>Напряжение на первой вторичной обмотке $U_2 = 6,3 \text{ В}$</p><p>Напряжение на второй вторичной обмотке $U_3 = 250 \text{ В}$</p><p>Число витков в первичной обмотке $N_1 = 1000$</p><p>Напряжение в сети (на первичной обмотке) $U_1 = 220 \text{ В}$</p><p><em>Все величины даны в системе СИ, перевод не требуется.</em></p><p><strong>Найти:</strong></p><p>Число витков в первой вторичной обмотке — $N_2$</p><p>Число витков во второй вторичной обмотке — $N_3$</p><p><strong>Решение:</strong></p><p>Для идеального трансформатора (пренебрегая потерями) отношение напряжений на первичной и вторичной обмотках равно отношению числа витков в этих обмотках. Это соотношение описывается формулой коэффициента трансформации:</p><p>$\frac{U_{вых}}{U_{вх}} = \frac{N_{вых}}{N_{вх}}$</p><p>Применим эту формулу для каждой из двух вторичных обмоток.</p><p><strong>Расчет числа витков для обмотки с напряжением 6,3 В</strong></p><p>Для первой вторичной обмотки формула будет выглядеть так:</p><p>$\frac{U_2}{U_1} = \frac{N_2}{N_1}$</p><p>Выразим из этой формулы искомое число витков $N_2$:</p><p>$N_2 = N_1 \cdot \frac{U_2}{U_1}$</p><p>Подставим числовые значения:</p><p>$N_2 = 1000 \cdot \frac{6,3 \text{ В}}{220 \text{ В}} \approx 28,636$</p><p>Число витков должно быть целым, поэтому округляем полученное значение до ближайшего целого числа.</p><p>$N_2 \approx 29$ витков.</p><p><strong>Ответ:</strong> для получения напряжения 6,3 В первая вторичная обмотка должна содержать 29 витков.</p><p><strong>Расчет числа витков для обмотки с напряжением 250 В</strong></p><p>Для второй вторичной обмотки формула будет аналогичной:</p><p>$\frac{U_3}{U_1} = \frac{N_3}{N_1}$</p><p>Выразим искомое число витков $N_3$:</p><p>$N_3 = N_1 \cdot \frac{U_3}{U_1}$</p><p>Подставим числовые значения:</p><p>$N_3 = 1000 \cdot \frac{250 \text{ В}}{220 \text{ В}} = 1000 \cdot \frac{25}{22} \approx 1136,363$</p><p>Округляем результат до ближайшего целого числа.</p><p>$N_3 \approx 1136$ витков.</p><p><strong>Ответ:</strong> для получения напряжения 250 В вторая вторичная обмотка должна содержать 1136 витков.</p>"
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    "book" => Illuminate\Database\Eloquent\Collection {#1118
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          #escapeWhenCastingToString: false
          #attributes: array:50 [
            "id" => 4168
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_tree_default_status" => "tasks"
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            "field_subject" => Illuminate\Database\Eloquent\Collection {#1120
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                  #perPage: 15
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                  #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"
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                    "field_foreign_lang_name" => null
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                    "field_subject_type" => "technical_subject"
                    "field_translit" => "fizika"
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                  #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 [
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                    "field_foreign_lang_name" => null
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                    "field_subject_type" => "technical_subject"
                    "field_translit" => "fizika"
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                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
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                    0 => "*"
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_class" => Illuminate\Database\Eloquent\Collection {#1122
              #items: array:1 [
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                  #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 [
                      "field_accusative_case" => "восьмой"
                      "field_creative_case" => "восьмым"
                      "field_dative_case" => "восьмому"
                      "field_genitive_case" => "восьмого"
                      "field_nominative_case" => "восьмой"
                      "field_prepositional_case" => "восьмом"
                    ]
                    "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 [
                      "field_accusative_case" => "восьмой"
                      "field_creative_case" => "восьмым"
                      "field_dative_case" => "восьмому"
                      "field_genitive_case" => "восьмого"
                      "field_nominative_case" => "восьмой"
                      "field_prepositional_case" => "восьмом"
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                    "field_translit" => "vosmoj"
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                  +timestamps: true
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                  #hidden: []
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                }
              ]
              #escapeWhenCastingToString: false
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            "field_publisher" => Illuminate\Database\Eloquent\Collection {#1124
              #items: array:1 [
                0 => App\Models\Term {#1125
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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                  #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"
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                  #original: array:6 [
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                    "updated_at" => null
                    "name" => "Русское слово"
                    "field_cases" => null
                    "field_translit" => "russkoe slovo"
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                  +timestamps: true
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                    0 => "*"
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                }
              ]
              #escapeWhenCastingToString: false
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            "field_author" => Illuminate\Database\Eloquent\Collection {#1126
              #items: array:1 [
                0 => App\Models\Term {#1127
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
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                  +incrementing: false
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                  #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"
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                    "updated_at" => null
                    "name" => "Изергин"
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                    "field_patronymic" => "Тимофеевич"
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              #items: []
              #escapeWhenCastingToString: false
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              #items: array:1 [
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                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
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                  #perPage: 15
                  +exists: true
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                  #attributes: array:10 [
                    "id" => 6671
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Учебник"
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                    "field_cases" => array:6 [
                      "field_accusative_case" => "учебник"
                      "field_creative_case" => "учебником"
                      "field_dative_case" => "учебнику"
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              ]
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              #items: array:1 [
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                  #connection: "mysql"
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            }
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              #items: array:1 [
                0 => App\Models\Book {#1155
                  #connection: "mysql"
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                        0 => App\Models\Term {#1161 …30}
                      ]
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                    }
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                      ]
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                    }
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                    }
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                      ]
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                    }
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1167
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                        0 => App\Models\Term {#1168 …30}
                      ]
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                    }
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                      ]
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                    }
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                    }
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                    }
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                    }
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                    }
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№10 (с. 209)
Условие. №10 (с. 209)
скриншот условия
Физика, 8 класс Учебник, автор: Изергин Эдуард Тимофеевич, издательство Русское слово, Москва, 2019, страница 209, номер 10, Условие

10*. Для питания лампового радиоприёмника необходимо напряжение 6,3 В и напряжение 250 В. Для получения таких напряжений необходимо изготовить две обмотки. Сколько витков должна иметь каждая из вторичных обмоток, если первичная имеет 1000 витков, а напряжение в сети 220 В?

Решение. №10 (с. 209)

Дано:

Напряжение на первой вторичной обмотке $U_2 = 6,3 \text{ В}$

Напряжение на второй вторичной обмотке $U_3 = 250 \text{ В}$

Число витков в первичной обмотке $N_1 = 1000$

Напряжение в сети (на первичной обмотке) $U_1 = 220 \text{ В}$

Все величины даны в системе СИ, перевод не требуется.

Найти:

Число витков в первой вторичной обмотке — $N_2$

Число витков во второй вторичной обмотке — $N_3$

Решение:

Для идеального трансформатора (пренебрегая потерями) отношение напряжений на первичной и вторичной обмотках равно отношению числа витков в этих обмотках. Это соотношение описывается формулой коэффициента трансформации:

$\frac{U_{вых}}{U_{вх}} = \frac{N_{вых}}{N_{вх}}$

Применим эту формулу для каждой из двух вторичных обмоток.

Расчет числа витков для обмотки с напряжением 6,3 В

Для первой вторичной обмотки формула будет выглядеть так:

$\frac{U_2}{U_1} = \frac{N_2}{N_1}$

Выразим из этой формулы искомое число витков $N_2$:

$N_2 = N_1 \cdot \frac{U_2}{U_1}$

Подставим числовые значения:

$N_2 = 1000 \cdot \frac{6,3 \text{ В}}{220 \text{ В}} \approx 28,636$

Число витков должно быть целым, поэтому округляем полученное значение до ближайшего целого числа.

$N_2 \approx 29$ витков.

Ответ: для получения напряжения 6,3 В первая вторичная обмотка должна содержать 29 витков.

Расчет числа витков для обмотки с напряжением 250 В

Для второй вторичной обмотки формула будет аналогичной:

$\frac{U_3}{U_1} = \frac{N_3}{N_1}$

Выразим искомое число витков $N_3$:

$N_3 = N_1 \cdot \frac{U_3}{U_1}$

Подставим числовые значения:

$N_3 = 1000 \cdot \frac{250 \text{ В}}{220 \text{ В}} = 1000 \cdot \frac{25}{22} \approx 1136,363$

Округляем результат до ближайшего целого числа.

$N_3 \approx 1136$ витков.

Ответ: для получения напряжения 250 В вторая вторичная обмотка должна содержать 1136 витков.

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