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Консультация № 182444
09.03.2011, 23:16
0.00 руб.
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1
Здравствуйте! У меня возникли сложности с таким вопросом:
Тонкий металлический стержень длины l = 1,200 м вращается с частотой n = 120 мин-1 в однородном магнитном поле вокруг оси, перпендикулярной к стержню и отстоящей от одного из его концов на расстояние l1 = 0,250 м. Вектор B параллелен оси вращения, В = 1,00 мТл. Найти разность потенциалов U, возникающую между концами стержня.
Тонкий металлический стержень длины l = 1,200 м вращается с частотой n = 120 мин-1 в однородном магнитном поле вокруг оси, перпендикулярной к стержню и отстоящей от одного из его концов на расстояние l1 = 0,250 м. Вектор B параллелен оси вращения, В = 1,00 мТл. Найти разность потенциалов U, возникающую между концами стержня.
Обсуждение
10.03.2011, 14:23
общий
это ответ
Здравствуйте, Марина!
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 определяться выражением:
где V - линейная скорость вращения и -l[sub]1[/sub] < r < l-l[sub]1[/sub]. Разность потенциалов будет равна
В нашем случае n = 2 c[sup]-1[/sup], B = 0.001 Тл, l = 1.2 м, l[sub]1[/sub] = 0.25 м и U = 3.14·2·0.001·1.2·0.7 ? 0.00532 В = 5.32 мВ.
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 определяться выражением:
где V - линейная скорость вращения и -l[sub]1[/sub] < r < l-l[sub]1[/sub]. Разность потенциалов будет равна
В нашем случае n = 2 c[sup]-1[/sup], B = 0.001 Тл, l = 1.2 м, l[sub]1[/sub] = 0.25 м и U = 3.14·2·0.001·1.2·0.7 ? 0.00532 В = 5.32 мВ.
5
Спасибо!!!
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