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Консультация № 68506
25.12.2006, 11:33
0.00 руб.
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1
Здравствуйте, уважаемые эксперты!
Есть задача: проводящий диск вращается с угловой скоростью W(омега) в однородном магнитном поле индукции B, перпендикулярном плоскости диска. Что покажет амперметр, включенный через сопротивление R между центром и точкой на окружности диска?
Я нашел решение этой задачи. Все понятно, кроме одного.
Никак не могу вывести формулу для получения ЭДС индукции, наводящейся в этом диске. Формула есть(см. приложение), нужен лишь её вывод из более простых формул. Очень нужно.
Заранее благодарен за помощь.
Приложение:
E = (B*r^2*W)/2B - индукция магнитного поляr - радиус дискаW - угловая скорость вращения диска
Есть задача: проводящий диск вращается с угловой скоростью W(омега) в однородном магнитном поле индукции B, перпендикулярном плоскости диска. Что покажет амперметр, включенный через сопротивление R между центром и точкой на окружности диска?
Я нашел решение этой задачи. Все понятно, кроме одного.
Никак не могу вывести формулу для получения ЭДС индукции, наводящейся в этом диске. Формула есть(см. приложение), нужен лишь её вывод из более простых формул. Очень нужно.
Заранее благодарен за помощь.
Приложение:
E = (B*r^2*W)/2B - индукция магнитного поляr - радиус дискаW - угловая скорость вращения диска
Обсуждение
Неизвестный
25.12.2006, 12:16
общий
это ответ
Здравствуйте, Андрющенко Вячеслав Васильевич!
Сила, действующая на заряд в магнитном поле: <b>F</b> = q[<b>v</b>, <b>B</b>]
т.к. <b>F</b> = q<b>E</b> и <b>v</b> перпендикулярно <b>B</b>, то E = vB
E - это напряженность поля, падение напряжения, на ед. расстояния.
соотв падение напряжения на участке dr будет равно Edr = WrBdr
Проитнегрировав это от 0 до R, получим E = (B*R^2*W)/2
Как ее вывести без интегрирования, не знаю.
Сила, действующая на заряд в магнитном поле: <b>F</b> = q[<b>v</b>, <b>B</b>]
т.к. <b>F</b> = q<b>E</b> и <b>v</b> перпендикулярно <b>B</b>, то E = vB
E - это напряженность поля, падение напряжения, на ед. расстояния.
соотв падение напряжения на участке dr будет равно Edr = WrBdr
Проитнегрировав это от 0 до R, получим E = (B*R^2*W)/2
Как ее вывести без интегрирования, не знаю.
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