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Консультация № 188096
11.10.2015, 14:55
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Задача из Зорина 11 класс.Тест №6 Вариант №2,задача C1.
Задача из Зорина 11 класс.Тест №6 Вариант №2,задача C1.
Обсуждение
11.10.2015, 17:16
общий
это ответ
Здравствуйте, 33korovy!
Последовательное соедиение означает, что в катушке и соленоиде течёт один и тот же ток [TNR]I[/TNR].
В соленоиде ток создаёт однородное магнитное поле [TNR]B=[$956$]0nI[/TNR]
В однородном магнитном силы Ампера, действующие на катушку, уравновешиваются и их результирующая равна нулю, однако при этом возникает крутящий момент [TNR]M=NIBS[$183$]sin[$945$][/TNR], где [TNR][$945$][/TNR] - угол между направлением внешнего магнитного поля и нормалью катушки (направлением собственного магнитного поля катушки).
При показанном на рисунке расположении [TNR][$945$]=90[$176$][/TNR] и [TNR]sin[$945$]=1[/TNR]
То есть момент силы, возникающий при пропускании через катушку и соленоид тока [TNR]I[/TNR] равен
[TNR]M=NIBS=[$956$]0nNI2S[/TNR]
Этот момент силы уравновешивают, помещая груз весом [TNR]mg[/TNR] на расстоянии [TNR]l[/TNR] от точки опоры, что создаёт момент силы [TNR]M=mgl[/TNR]
Приравнивая взаимно уравновешивающиеся моменты, получаем
[TNR][$956$]0nNI2S=mgl[/TNR]
[TNR]I2=mgl/[$956$]0nNS[/TNR]
[TNR]I=[$8730$](mgl/[$956$]0nNS)[/TNR]
Последовательное соедиение означает, что в катушке и соленоиде течёт один и тот же ток [TNR]I[/TNR].
В соленоиде ток создаёт однородное магнитное поле [TNR]B=[$956$]0nI[/TNR]
В однородном магнитном силы Ампера, действующие на катушку, уравновешиваются и их результирующая равна нулю, однако при этом возникает крутящий момент [TNR]M=NIBS[$183$]sin[$945$][/TNR], где [TNR][$945$][/TNR] - угол между направлением внешнего магнитного поля и нормалью катушки (направлением собственного магнитного поля катушки).
При показанном на рисунке расположении [TNR][$945$]=90[$176$][/TNR] и [TNR]sin[$945$]=1[/TNR]
То есть момент силы, возникающий при пропускании через катушку и соленоид тока [TNR]I[/TNR] равен
[TNR]M=NIBS=[$956$]0nNI2S[/TNR]
Этот момент силы уравновешивают, помещая груз весом [TNR]mg[/TNR] на расстоянии [TNR]l[/TNR] от точки опоры, что создаёт момент силы [TNR]M=mgl[/TNR]
Приравнивая взаимно уравновешивающиеся моменты, получаем
[TNR][$956$]0nNI2S=mgl[/TNR]
[TNR]I2=mgl/[$956$]0nNS[/TNR]
[TNR]I=[$8730$](mgl/[$956$]0nNS)[/TNR]
5
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