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Консультация № 174121
10.11.2009, 16:47
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Помогите!!!!!!!
Задачка: Бесконечно длинный провод образует круговой виток, касательный к проводу, по проводу идет ток силой 3 А. Найти радиус витка, если напряженность магнитного поля в центре витка 20 А/м.
Заранее спасибо!
Задачка: Бесконечно длинный провод образует круговой виток, касательный к проводу, по проводу идет ток силой 3 А. Найти радиус витка, если напряженность магнитного поля в центре витка 20 А/м.
Заранее спасибо!
Обсуждение
Неизвестный
10.11.2009, 18:55
общий
это ответ
Здравствуйте, Лялюшкин Юрий Николаевич!
Из закона Био-Савара-Лапласа можно вывести, что индукция магнитного поле в центре окружности радиуса r0 будет B1=мю0*I/(2*r0), а бесконечно длинного провода на расстоянии r0 от его оси B2=мю0*I/(2*pi*r0).
Значит суммарная индукция в центре витка (благодаря совпадению направления токов в витке и проводе) будет B=B1+B2=(мю0*I/(2*r0))*(1+1/pi) -> r0=(мю0*I/(2*B))*(pi+1)/pi, а так как B=мю*мю0*H, то r0=(I/(2*мю*H))*(pi+1)/pi.
Значит, r0=3/(2*1*20)*(4.14/3.14)~0.1 (м).
Рассчёт обязательно перепроверить.
Удачи.
Из закона Био-Савара-Лапласа можно вывести, что индукция магнитного поле в центре окружности радиуса r0 будет B1=мю0*I/(2*r0), а бесконечно длинного провода на расстоянии r0 от его оси B2=мю0*I/(2*pi*r0).
Значит суммарная индукция в центре витка (благодаря совпадению направления токов в витке и проводе) будет B=B1+B2=(мю0*I/(2*r0))*(1+1/pi) -> r0=(мю0*I/(2*B))*(pi+1)/pi, а так как B=мю*мю0*H, то r0=(I/(2*мю*H))*(pi+1)/pi.
Значит, r0=3/(2*1*20)*(4.14/3.14)~0.1 (м).
Рассчёт обязательно перепроверить.
Удачи.
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