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Консультация № 190181
28.11.2016, 20:03
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Здравствуйте! У меня возникли сложности с таким вопросом:
Горизонтальный стержень длиной l= 1 м вращается вокруг вертикальной оси, проходящей через один из его концов. Ось вращения параллельна магнитному полю, индукция которого B = 50 мкТл. При какой частоте вращения n стержня разность потенциалов на концах этого стержня U = 1 мВ? Построить рисунок к задачи.
Горизонтальный стержень длиной l= 1 м вращается вокруг вертикальной оси, проходящей через один из его концов. Ось вращения параллельна магнитному полю, индукция которого B = 50 мкТл. При какой частоте вращения n стержня разность потенциалов на концах этого стержня U = 1 мВ? Построить рисунок к задачи.
Обсуждение
30.11.2016, 16:38
общий
это ответ
Здравствуйте, User194586!
На свободные электроны в стержне, движущиеся вместе с ним в магнитном поле, будет действовать сила Лоренца. Электроны будут смещаться вдоль стержня, пока сила Лоренца не будет уравновешена силой со стороны электрического поля, возникшего в стержне за счет разности потенциалов между разноименными зарядами, возникшими на его концах. Пусть r - расстояние вдоль стержня от оси вращения. Тогда напряженность поля внутри стержня будет изменяться по закону:
где V = [$969$]r = 2[$960$]nr - линейная скорость вращения и 0 < r < l. Разность потенциалов будет равна
откуда
В данном случае U = 0.001 В, B = 0.00005 Тл, l = 1 м и
то есть искомая частота вращения стержня - около 6 об/с.
На свободные электроны в стержне, движущиеся вместе с ним в магнитном поле, будет действовать сила Лоренца. Электроны будут смещаться вдоль стержня, пока сила Лоренца не будет уравновешена силой со стороны электрического поля, возникшего в стержне за счет разности потенциалов между разноименными зарядами, возникшими на его концах. Пусть r - расстояние вдоль стержня от оси вращения. Тогда напряженность поля внутри стержня будет изменяться по закону:
где V = [$969$]r = 2[$960$]nr - линейная скорость вращения и 0 < r < l. Разность потенциалов будет равна
откуда
В данном случае U = 0.001 В, B = 0.00005 Тл, l = 1 м и
то есть искомая частота вращения стержня - около 6 об/с.
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