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Консультация № 197726
09.02.2020, 23:14
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Контур выполнен из металлического провода, изогнутого в виде окружности радиусом R = 10 см и помещён в однородное магнитное поле перпендикулярно его силовым линиям. Индукция магнитного поля изменяется по закону B = 0,5sin(0,5пи*t + пи/3) , Тл. Определить максимальное значение ЭДС индукции, возникающее в контуре.
СДЕЛАТЬ РИСУНОК
Контур выполнен из металлического провода, изогнутого в виде окружности радиусом R = 10 см и помещён в однородное магнитное поле перпендикулярно его силовым линиям. Индукция магнитного поля изменяется по закону B = 0,5sin(0,5пи*t + пи/3) , Тл. Определить максимальное значение ЭДС индукции, возникающее в контуре.
СДЕЛАТЬ РИСУНОК
Обсуждение
14.02.2020, 05:00
общий
это ответ
Здравствуйте, dar777!
ЭДС индукции [i]E[/i][sub]i[/sub] в контуре определяется законом Фарадея:
где [$934$][sub]m[/sub] - магнитный поток через поверхность, ограниченную контуром. Для однородного магнитного поля с индукцией B и плоского контура площадью S магнитный поток равен [$934$][sub]m[/sub] = BS.
В данном случае контур имеет форму окружности радиуса R, поэтому S = [$960$]R[sup]2[/sup] и для поля с индукцией
имеем
и ЭДС индукции, возникающая в контуре, равна
где
- максимальное значение (амплитуда) ЭДС индукции. Для R = 10 см = 0.1 м оно составит
ЭДС индукции [i]E[/i][sub]i[/sub] в контуре определяется законом Фарадея:
где [$934$][sub]m[/sub] - магнитный поток через поверхность, ограниченную контуром. Для однородного магнитного поля с индукцией B и плоского контура площадью S магнитный поток равен [$934$][sub]m[/sub] = BS.
В данном случае контур имеет форму окружности радиуса R, поэтому S = [$960$]R[sup]2[/sup] и для поля с индукцией
имеем
и ЭДС индукции, возникающая в контуре, равна
где
- максимальное значение (амплитуда) ЭДС индукции. Для R = 10 см = 0.1 м оно составит
5
Это самый лучший ответ!!!
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