Вариант 6, страница 82 - гдз по физике 8 класс дидактические материалы Марон, Марон

Физика, 8 класс Дидактические материалы, авторы: Марон Абрам Евсеевич, Марон Евгений Абрамович, издательство Просвещение, Москва, 2022, белого цвета

Авторы: Марон А. Е., Марон Е. А.

Тип: Дидактические материалы

Издательство: Просвещение

Год издания: 2022 - 2026

Уровень обучения: базовый

Цвет обложки: белый

ISBN: 978-5-09-111138-5

Самостоятельные работы. СР-8. Сила тока. Напряжение. Сопротивление. Закон Ома для участка цепи - страница 82.

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        1 => App\Models\Branch {#1107
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                0 => App\Models\Book {#1110
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                  #keyType: "int"
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                  #attributes: array:50 [
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                    "created_at" => "2026-04-10 13:58:26"
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                    }
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                      #escapeWhenCastingToString: false
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                    "field_publication_number" => "4"
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                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1135
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                    "field_under_the_edition_degree" => null
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                    "field_part" => ""
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                    "field_for_whom" => "Учебное пособие"
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                    "field_default_folder" => "/fizika_08/maron-dm/"
                    "field_isbn" => "978-5-09-111138-5"
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                      0 => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989"
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                       …1
                    }
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                    "field_link_to_source" => null
                    "field_tasks_count" => "661"
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                    "field_default_folder" => "/fizika_08/maron-dm/"
                    "field_isbn" => "978-5-09-111138-5"
                    "field_cover" => array:1 [ …1]
                    "field_cover_alts" => array:1 [ …1]
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                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1139 …2}
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              ]
              #escapeWhenCastingToString: false
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            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1141
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                0 => App\Models\Branch {#1142
                  #connection: "mysql"
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                  #keyType: "int"
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                  #attributes: array:24 [
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                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1143 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#1144 …2}
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                  #original: array:24 [
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          #original: array:24 [
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    "content" => Illuminate\Database\Eloquent\Collection {#1147
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        0 => App\Models\Element {#1157
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          #perPage: 15
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          #escapeWhenCastingToString: false
          #attributes: array:7 [
            "id" => 1760899
            "created_at" => "2026-04-10 13:58:26"
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            "edition" => Illuminate\Database\Eloquent\Collection {#1166
              #items: array:1 [
                0 => App\Models\Edition {#1158
                  #connection: "mysql"
                  #table: "editions"
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                  #attributes: array:21 [
                    "id" => 6406
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1160 …2}
                    "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"
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                    "field_root_dir" => "0-"
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                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1162 …2}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1163 …2}
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                  ]
                  #original: array:21 [
                    "id" => 6406
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                    "title" => "Условие"
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                    0 => "*"
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              ]
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            }
            "task" => array:2 [
              "refs" => "1470325"
              "type" => "task"
            ]
            "text" => "<p><strong>Вариант 6</strong></p><p><strong>1.</strong> Через поперечное сечение проводника за 2 с проходит $12 \cdot 10^{19}$ электронов. Какова сила тока в проводнике?</p><p><strong>2.</strong> Сколько метров медного провода площадью поперечного сечения $2 \text{ мм}^2$ нужно взять, чтобы его сопротивление было равно $1 \text{ Ом}$?</p><p><strong>3.</strong> Сила тока в электрическом чайнике $3 \text{ А}$ при напряжении $220 \text{ В}$. Чему равно сопротивление чайника?</p>"
            "img" => array:1 [
              0 => array:5 [
                "name" => "6-1.jpg"
                "alt" => null
                "width" => "1448"
                "height" => 588
                "path" => "/media/fizika_08/maron-dm/0-cp08/6-1.webp?ts=1760803290"
              ]
            ]
          ]
          #original: array:7 [
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            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1166}
            "task" => array:2 [
              "refs" => "1470325"
              "type" => "task"
            ]
            "text" => "<p><strong>Вариант 6</strong></p><p><strong>1.</strong> Через поперечное сечение проводника за 2 с проходит $12 \cdot 10^{19}$ электронов. Какова сила тока в проводнике?</p><p><strong>2.</strong> Сколько метров медного провода площадью поперечного сечения $2 \text{ мм}^2$ нужно взять, чтобы его сопротивление было равно $1 \text{ Ом}$?</p><p><strong>3.</strong> Сила тока в электрическом чайнике $3 \text{ А}$ при напряжении $220 \text{ В}$. Чему равно сопротивление чайника?</p>"
            "img" => array:1 [
              0 => array:5 [
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                "alt" => null
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          ]
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            0 => "*"
          ]
        }
        1 => App\Models\Element {#1164
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          #table: "elements"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
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          #perPage: 15
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          #attributes: array:6 [
            "id" => 1820314
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1174
              #items: array:1 [
                0 => App\Models\Edition {#1165
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                  #keyType: "int"
                  +incrementing: false
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                  #attributes: array:21 [
                    "id" => 6684
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            "text" => "<p><strong>1.</strong> <strong>Дано:</strong></p><p>$t = 2$ с (время)</p><p>$N = 12 \cdot 10^{19}$ (число электронов)</p><p>$e \approx 1.6 \cdot 10^{-19}$ Кл (заряд одного электрона, постоянная)</p><p><strong>Найти:</strong></p><p>$\text{I}$ (сила тока)</p><p><strong>Решение:</strong></p><p>Сила тока $\text{I}$ — это физическая величина, равная отношению электрического заряда $\text{q}$, прошедшего через поперечное сечение проводника, ко времени его прохождения $\text{t}$. Формула для силы тока:</p><p>$I = \frac{q}{t}$</p><p>Общий заряд $\text{q}$, прошедший через проводник, можно найти, умножив число электронов $\text{N}$ на элементарный заряд $\text{e}$:</p><p>$q = N \cdot e$</p><p>Объединив две формулы, получим:</p><p>$I = \frac{N \cdot e}{t}$</p><p>Подставим известные значения в формулу и произведем расчет:</p><p>$I = \frac{12 \cdot 10^{19} \cdot 1.6 \cdot 10^{-19} \text{ Кл}}{2 \text{ с}} = \frac{12 \cdot 1.6}{2} \text{ А} = 6 \cdot 1.6 \text{ А} = 9.6 \text{ А}$</p><p><strong>Ответ:</strong> сила тока в проводнике равна 9.6 А.</p><p><strong>2.</strong> <strong>Дано:</strong></p><p>$S = 2$ мм² (площадь поперечного сечения)</p><p>$R = 1$ Ом (сопротивление)</p><p>Материал — медь. Удельное сопротивление меди $\rho$ является справочной величиной.</p><p>$S = 2 \text{ мм}^2 = 2 \cdot 10^{-6} \text{ м}^2$</p><p>$\rho \approx 1.7 \cdot 10^{-8}$ Ом·м</p><p><strong>Найти:</strong></p><p>$\text{L}$ (длина провода)</p><p><strong>Решение:</strong></p><p>Сопротивление проводника $\text{R}$ зависит от его длины $\text{L}$, площади поперечного сечения $\text{S}$ и удельного сопротивления материала $\rho$. Эта зависимость выражается формулой:</p><p>$R = \rho \frac{L}{S}$</p><p>Чтобы найти длину провода $\text{L}$, выразим ее из данной формулы:</p><p>$L = \frac{R \cdot S}{\rho}$</p><p>Теперь подставим числовые значения (в системе СИ):</p><p>$L = \frac{1 \text{ Ом} \cdot 2 \cdot 10^{-6} \text{ м}^2}{1.7 \cdot 10^{-8} \text{ Ом} \cdot \text{м}} = \frac{2}{1.7} \cdot 10^2 \text{ м} \approx 117.65 \text{ м}$</p><p><strong>Ответ:</strong> нужно взять примерно 117.65 м медного провода.</p><p><strong>3.</strong> <strong>Дано:</strong></p><p>$I = 3$ А (сила тока)</p><p>$U = 220$ В (напряжение)</p><p><strong>Найти:</strong></p><p>$\text{R}$ (сопротивление)</p><p><strong>Решение:</strong></p><p>Для нахождения сопротивления воспользуемся законом Ома для участка цепи. Он гласит, что сила тока $\text{I}$ на участке цепи прямо пропорциональна напряжению $\text{U}$ на концах этого участка и обратно пропорциональна его сопротивлению $\text{R}$:</p><p>$I = \frac{U}{R}$</p><p>Из этой формулы выразим искомое сопротивление $\text{R}$:</p><p>$R = \frac{U}{I}$</p><p>Подставим известные значения в формулу:</p><p>$R = \frac{220 \text{ В}}{3 \text{ А}} \approx 73.33 \text{ Ом}$</p><p><strong>Ответ:</strong> сопротивление чайника равно примерно 73.33 Ом.</p>"
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            "text" => "<p><strong>1.</strong> <strong>Дано:</strong></p><p>$t = 2$ с (время)</p><p>$N = 12 \cdot 10^{19}$ (число электронов)</p><p>$e \approx 1.6 \cdot 10^{-19}$ Кл (заряд одного электрона, постоянная)</p><p><strong>Найти:</strong></p><p>$\text{I}$ (сила тока)</p><p><strong>Решение:</strong></p><p>Сила тока $\text{I}$ — это физическая величина, равная отношению электрического заряда $\text{q}$, прошедшего через поперечное сечение проводника, ко времени его прохождения $\text{t}$. Формула для силы тока:</p><p>$I = \frac{q}{t}$</p><p>Общий заряд $\text{q}$, прошедший через проводник, можно найти, умножив число электронов $\text{N}$ на элементарный заряд $\text{e}$:</p><p>$q = N \cdot e$</p><p>Объединив две формулы, получим:</p><p>$I = \frac{N \cdot e}{t}$</p><p>Подставим известные значения в формулу и произведем расчет:</p><p>$I = \frac{12 \cdot 10^{19} \cdot 1.6 \cdot 10^{-19} \text{ Кл}}{2 \text{ с}} = \frac{12 \cdot 1.6}{2} \text{ А} = 6 \cdot 1.6 \text{ А} = 9.6 \text{ А}$</p><p><strong>Ответ:</strong> сила тока в проводнике равна 9.6 А.</p><p><strong>2.</strong> <strong>Дано:</strong></p><p>$S = 2$ мм² (площадь поперечного сечения)</p><p>$R = 1$ Ом (сопротивление)</p><p>Материал — медь. Удельное сопротивление меди $\rho$ является справочной величиной.</p><p>$S = 2 \text{ мм}^2 = 2 \cdot 10^{-6} \text{ м}^2$</p><p>$\rho \approx 1.7 \cdot 10^{-8}$ Ом·м</p><p><strong>Найти:</strong></p><p>$\text{L}$ (длина провода)</p><p><strong>Решение:</strong></p><p>Сопротивление проводника $\text{R}$ зависит от его длины $\text{L}$, площади поперечного сечения $\text{S}$ и удельного сопротивления материала $\rho$. Эта зависимость выражается формулой:</p><p>$R = \rho \frac{L}{S}$</p><p>Чтобы найти длину провода $\text{L}$, выразим ее из данной формулы:</p><p>$L = \frac{R \cdot S}{\rho}$</p><p>Теперь подставим числовые значения (в системе СИ):</p><p>$L = \frac{1 \text{ Ом} \cdot 2 \cdot 10^{-6} \text{ м}^2}{1.7 \cdot 10^{-8} \text{ Ом} \cdot \text{м}} = \frac{2}{1.7} \cdot 10^2 \text{ м} \approx 117.65 \text{ м}$</p><p><strong>Ответ:</strong> нужно взять примерно 117.65 м медного провода.</p><p><strong>3.</strong> <strong>Дано:</strong></p><p>$I = 3$ А (сила тока)</p><p>$U = 220$ В (напряжение)</p><p><strong>Найти:</strong></p><p>$\text{R}$ (сопротивление)</p><p><strong>Решение:</strong></p><p>Для нахождения сопротивления воспользуемся законом Ома для участка цепи. Он гласит, что сила тока $\text{I}$ на участке цепи прямо пропорциональна напряжению $\text{U}$ на концах этого участка и обратно пропорциональна его сопротивлению $\text{R}$:</p><p>$I = \frac{U}{R}$</p><p>Из этой формулы выразим искомое сопротивление $\text{R}$:</p><p>$R = \frac{U}{I}$</p><p>Подставим известные значения в формулу:</p><p>$R = \frac{220 \text{ В}}{3 \text{ А}} \approx 73.33 \text{ Ом}$</p><p><strong>Ответ:</strong> сопротивление чайника равно примерно 73.33 Ом.</p>"
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                    "id" => 9
                    "created_at" => "2026-04-10 13:58:26"
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                    "field_cases" => array:6 [ …6]
                    "field_translit" => "rossiya"
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                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Россия"
                    "field_cases" => array:6 [ …6]
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                    0 => "*"
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              ]
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            "field_city" => Illuminate\Database\Eloquent\Collection {#1180
              #items: array:1 [
                0 => App\Models\Term {#1181
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                  #table: "terms"
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                  #attributes: array:6 [
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                    "created_at" => "2026-04-10 13:58:26"
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            }
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1183
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            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1184
              #items: array:1 [
                0 => App\Models\Term {#1185
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
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                    "created_at" => "2026-04-10 13:58:26"
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                  ]
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                    0 => "*"
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                }
              ]
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            "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1186
              #items: array:1 [
                0 => App\Models\Term {#1187
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
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                  #attributes: array:10 [
                    "id" => 25
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_cases" => array:6 [ …6]
                    "field_color" => "красный"
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                    0 => "*"
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                }
              ]
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            }
            "field_publication_number" => "4"
            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1188
              #items: array:1 [
                0 => App\Models\Term {#1189
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
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                  #attributes: array:6 [
                    "id" => 33
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_cases" => array:6 [ …6]
                    "field_translit" => "stereotipnoe"
                  ]
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                    "created_at" => "2026-04-10 13:58:26"
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              ]
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            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1190
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            "field_for_whom" => "Учебное пособие"
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            ]
            "field_cover_alts" => array:1 [
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              ]
            ]
            "field_popular_book" => "0"
            "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1191
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              #escapeWhenCastingToString: false
            }
            "field_new_book" => Illuminate\Database\Eloquent\Collection {#1192
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_old_book" => Illuminate\Database\Eloquent\Collection {#1193
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy"
            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1194
              #items: array:1 [
                0 => App\Models\Term {#1195
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
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                  #attributes: array:6 [
                    "id" => 45
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "белый"
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                    "field_translit" => "belyy"
                  ]
                  #original: array:6 [
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                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "белый"
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                    "field_translit" => "belyy"
                  ]
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            "field_metatags_title" => null
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            "breadcrumbs" => array:3 [
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            ]
          ]
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            "id" => 1038
            "created_at" => "2026-04-10 13:58:26"
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            "field_subject" => Illuminate\Database\Eloquent\Collection {#1148}
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            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1175}
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            "field_country" => Illuminate\Database\Eloquent\Collection {#1178}
            "field_city" => Illuminate\Database\Eloquent\Collection {#1180}
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            "field_umk" => Illuminate\Database\Eloquent\Collection {#1183}
            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1184}
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            ]
            "field_cover_alts" => array:1 [
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            ]
            "field_covers" => array:1 [
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                "alt" => ""
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              ]
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            "field_popular_book" => "0"
            "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1191}
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            "field_old_book" => Illuminate\Database\Eloquent\Collection {#1193}
            "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy"
            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1194}
            "field_metatags_title" => null
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          ]
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            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "page" => Illuminate\Database\Eloquent\Collection {#1212
      #items: array:1 [
        0 => App\Models\BookPage {#1211
          #connection: "mysql"
          #table: "book_pages"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
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          #perPage: 15
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          #attributes: array:21 [
            "id" => 1469686
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "82"
            "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy/page-82"
            "field_display_title" => "82"
            "field_folder" => "1"
            "field_image_name" => "82"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1213
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1214
              #items: array:1 [
                0 => App\Models\Book {#1154}
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
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            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1215
              #items: []
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1225
              #items: array:1 [
                0 => App\Models\Element {#1224
                  #connection: "mysql"
                  #table: "elements"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                  #perPage: 15
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                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 1761566
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "edition" => Illuminate\Database\Eloquent\Collection {#1226 …2}
                    "book_page" => array:2 [ …2]
                    "img" => array:1 [ …1]
                  ]
                  #original: array:6 [
                    "id" => 1761566
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "edition" => Illuminate\Database\Eloquent\Collection {#1226 …2}
                    "book_page" => array:2 [ …2]
                    "img" => array:1 [ …1]
                  ]
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                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "1469687"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "1469685"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#1384
              #items: array:5 [
                0 => App\Models\Task {#1396
                  #connection: "mysql"
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                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1470322
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
                    "field_page_end" => "82"
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy/cp08-3"
                    "field_display_title" => "Вариант 3"
                    "field_outside_task" => "0"
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1397 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
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                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1398 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1399 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1400 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1402 …2}
                    "next" => array:2 [ …2]
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                    "book" => Illuminate\Database\Eloquent\Collection {#1408 …2}
                    "page" => array:2 [ …2]
                  ]
                  #original: array:24 [
                    "id" => 1470322
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "81"
                    "field_page_end" => "82"
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy/cp08-3"
                    "field_display_title" => "Вариант 3"
                    "field_outside_task" => "0"
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1397 …2}
                    "field_metatags_title" => null
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                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1398 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1400 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1402 …2}
                    "next" => array:2 [ …2]
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                    "book" => Illuminate\Database\Eloquent\Collection {#1408 …2}
                    "page" => array:2 [ …2]
                  ]
                  #changes: []
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                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                1 => App\Models\Task {#1403
                  #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" => 1470323
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "82"
                    "field_page_end" => null
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy/cp08-4"
                    "field_display_title" => "Вариант 4"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1401 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
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                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1410 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1406 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1404 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1405 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#1420 …2}
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Вариант 6 (с. 82)
Условие. Вариант 6 (с. 82)
скриншот условия
Физика, 8 класс Дидактические материалы, авторы: Марон Абрам Евсеевич, Марон Евгений Абрамович, издательство Просвещение, Москва, 2022, белого цвета, страница 82, Условие

Вариант 6

1. Через поперечное сечение проводника за 2 с проходит $12 \cdot 10^{19}$ электронов. Какова сила тока в проводнике?

2. Сколько метров медного провода площадью поперечного сечения $2 \text{ мм}^2$ нужно взять, чтобы его сопротивление было равно $1 \text{ Ом}$?

3. Сила тока в электрическом чайнике $3 \text{ А}$ при напряжении $220 \text{ В}$. Чему равно сопротивление чайника?

Решение. Вариант 6 (с. 82)

1. Дано:

$t = 2$ с (время)

$N = 12 \cdot 10^{19}$ (число электронов)

$e \approx 1.6 \cdot 10^{-19}$ Кл (заряд одного электрона, постоянная)

Найти:

$\text{I}$ (сила тока)

Решение:

Сила тока $\text{I}$ — это физическая величина, равная отношению электрического заряда $\text{q}$, прошедшего через поперечное сечение проводника, ко времени его прохождения $\text{t}$. Формула для силы тока:

$I = \frac{q}{t}$

Общий заряд $\text{q}$, прошедший через проводник, можно найти, умножив число электронов $\text{N}$ на элементарный заряд $\text{e}$:

$q = N \cdot e$

Объединив две формулы, получим:

$I = \frac{N \cdot e}{t}$

Подставим известные значения в формулу и произведем расчет:

$I = \frac{12 \cdot 10^{19} \cdot 1.6 \cdot 10^{-19} \text{ Кл}}{2 \text{ с}} = \frac{12 \cdot 1.6}{2} \text{ А} = 6 \cdot 1.6 \text{ А} = 9.6 \text{ А}$

Ответ: сила тока в проводнике равна 9.6 А.

2. Дано:

$S = 2$ мм² (площадь поперечного сечения)

$R = 1$ Ом (сопротивление)

Материал — медь. Удельное сопротивление меди $\rho$ является справочной величиной.

$S = 2 \text{ мм}^2 = 2 \cdot 10^{-6} \text{ м}^2$

$\rho \approx 1.7 \cdot 10^{-8}$ Ом·м

Найти:

$\text{L}$ (длина провода)

Решение:

Сопротивление проводника $\text{R}$ зависит от его длины $\text{L}$, площади поперечного сечения $\text{S}$ и удельного сопротивления материала $\rho$. Эта зависимость выражается формулой:

$R = \rho \frac{L}{S}$

Чтобы найти длину провода $\text{L}$, выразим ее из данной формулы:

$L = \frac{R \cdot S}{\rho}$

Теперь подставим числовые значения (в системе СИ):

$L = \frac{1 \text{ Ом} \cdot 2 \cdot 10^{-6} \text{ м}^2}{1.7 \cdot 10^{-8} \text{ Ом} \cdot \text{м}} = \frac{2}{1.7} \cdot 10^2 \text{ м} \approx 117.65 \text{ м}$

Ответ: нужно взять примерно 117.65 м медного провода.

3. Дано:

$I = 3$ А (сила тока)

$U = 220$ В (напряжение)

Найти:

$\text{R}$ (сопротивление)

Решение:

Для нахождения сопротивления воспользуемся законом Ома для участка цепи. Он гласит, что сила тока $\text{I}$ на участке цепи прямо пропорциональна напряжению $\text{U}$ на концах этого участка и обратно пропорциональна его сопротивлению $\text{R}$:

$I = \frac{U}{R}$

Из этой формулы выразим искомое сопротивление $\text{R}$:

$R = \frac{U}{I}$

Подставим известные значения в формулу:

$R = \frac{220 \text{ В}}{3 \text{ А}} \approx 73.33 \text{ Ом}$

Ответ: сопротивление чайника равно примерно 73.33 Ом.

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