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Консультация № 135823
07.05.2008, 18:18
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По двум скрещенным под прямым углом бесконечно длинным проводам текут токи I и 2I (I=100 A). Определить магнитную индукцию B в точке А. Расстояние d=10 см. Провод с током I расположен между проводом с током 2I и точкой A на расстоянии d от каждого.
Обсуждение
Неизвестный
07.05.2008, 19:09
общий
это ответ
Здравствуйте, Жаскенов Данияр джамбулатович!
Формула для магнитной индукции поля прямолинейного проводника с током:
B = mu0*I/(2*pi*r)
Здесь mu0=1,257*10-6 Гн/м (мю с нижним индексом 0- так обозначают магн. постоянную), r - расстояние от проводника до точки наблюдения.
По условию для провода с током 2I:
I = 2I
r = 2d (расстояние до точки А).
Для провода с током I:
I = I
r = d
Поэтому в точке А провода с токами создают одинаковые значения магнитной индукции
B = mu0*I/(2*pi*d) = 0.2 мТл
При этом векторы индукций будут перпендикулярны. Результирующая индукция определится векторной суммой, её модуль по теор. Пифагора:
sqrt(2*B^2)= 0.28 мТл
Формула для магнитной индукции поля прямолинейного проводника с током:
B = mu0*I/(2*pi*r)
Здесь mu0=1,257*10-6 Гн/м (мю с нижним индексом 0- так обозначают магн. постоянную), r - расстояние от проводника до точки наблюдения.
По условию для провода с током 2I:
I = 2I
r = 2d (расстояние до точки А).
Для провода с током I:
I = I
r = d
Поэтому в точке А провода с токами создают одинаковые значения магнитной индукции
B = mu0*I/(2*pi*d) = 0.2 мТл
При этом векторы индукций будут перпендикулярны. Результирующая индукция определится векторной суммой, её модуль по теор. Пифагора:
sqrt(2*B^2)= 0.28 мТл
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