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Консультация № 108242
06.11.2007, 12:53
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4.75. Соленоид содержит N=800 витков. Сечение сердечника (из немагнитного материа-ла) S=10см2. По обмотке течет ток, создающий поле с индукцией В=8мТл. Определить среднее значение ЭДС самоиндукции, которая возникает на зажимах соленоида, если сила тока умень-шается практически до нуля за время дельтаt=0,8мс
Обсуждение
07.11.2007, 08:23
общий
это ответ
Здравствуйте, 7alena7!
Магнитный поток соленоида Φ = В*S. Предполагая, что этот поток проходит полностью внутри каждого витка обмотки ("сцеплен" со всеми витками), "потокосцепление" или (другое название) "полный поток" Ψ = N*В*S. Он же, согласно закону электромагнитной индукции, равен интегралу от ЭДС самоиндукции по времени за время исчезновения; среднее значение этой ЭДС равно Ψ/Δt = N*В*S/Δt. Подставляя числа, и не забывая переводить единицы измерения в систему СИ, получаем: Eср = 800*8*10^-3*10*10^-4/(0.8*10^-3) = 8 В.
Магнитный поток соленоида Φ = В*S. Предполагая, что этот поток проходит полностью внутри каждого витка обмотки ("сцеплен" со всеми витками), "потокосцепление" или (другое название) "полный поток" Ψ = N*В*S. Он же, согласно закону электромагнитной индукции, равен интегралу от ЭДС самоиндукции по времени за время исчезновения; среднее значение этой ЭДС равно Ψ/Δt = N*В*S/Δt. Подставляя числа, и не забывая переводить единицы измерения в систему СИ, получаем: Eср = 800*8*10^-3*10*10^-4/(0.8*10^-3) = 8 В.
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