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Консультация № 144370
19.09.2008, 10:44
0.00 руб.
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1
1
Уважаемые эксперты, помогите,пожалуйста, решить задачу.
Через сечение S = ab медной пластинки толщиной a = 0,5 мм и высотой b = 10 мм идёт ток I = 20 a. При помещении пластинки в магнитное поле, перпендикулярное ребру b и направлению тока, возникает попереченая разность потенциалов U = 3,1*10-6 в. Индукция магнитного поля B = 1 тл. Определить концентрацию электронов проводимости в меди.
Через сечение S = ab медной пластинки толщиной a = 0,5 мм и высотой b = 10 мм идёт ток I = 20 a. При помещении пластинки в магнитное поле, перпендикулярное ребру b и направлению тока, возникает попереченая разность потенциалов U = 3,1*10-6 в. Индукция магнитного поля B = 1 тл. Определить концентрацию электронов проводимости в меди.
Обсуждение
19.09.2008, 13:18
общий
это ответ
Здравствуйте, Daiger!
Если "через сечение пластинки идёт ток I" - значит, в 1 секунду через это сечение проходит заряд, равный I кулонов, или N = I/e (1) электронов проводимости, где e = 1.602189*10-19 Кл - заряд электрона. Средняя скорость v прохождения электрона определится, исходя из уравнения: U = B*b*v, где b = 10 мм = 0.01 м - высота пластинки, B = 1 Тл - индукция магнитного поля; отсюда v = U/B*b (2). Следовательно, в 1 секунду каждый электрон проходит в среднем расстояние, равное v; значит, все эти N электронов проводимости займут объём, равный v*b*a, где a = 0.5 мм = 5*10-4 м - толщина пластинки. Концентрация D электронов проводимости в меди равна: D = N/(v*b*a) (3), а подставив значение N из (1) и значение v из (2), после сокращения получаем: D = I*B/(U*e*a) (4) = 20*1/(3,1*10-6*1.602189*10-19*5*10-4) = 8.05*1028 1/м³.
Если "через сечение пластинки идёт ток I" - значит, в 1 секунду через это сечение проходит заряд, равный I кулонов, или N = I/e (1) электронов проводимости, где e = 1.602189*10-19 Кл - заряд электрона. Средняя скорость v прохождения электрона определится, исходя из уравнения: U = B*b*v, где b = 10 мм = 0.01 м - высота пластинки, B = 1 Тл - индукция магнитного поля; отсюда v = U/B*b (2). Следовательно, в 1 секунду каждый электрон проходит в среднем расстояние, равное v; значит, все эти N электронов проводимости займут объём, равный v*b*a, где a = 0.5 мм = 5*10-4 м - толщина пластинки. Концентрация D электронов проводимости в меди равна: D = N/(v*b*a) (3), а подставив значение N из (1) и значение v из (2), после сокращения получаем: D = I*B/(U*e*a) (4) = 20*1/(3,1*10-6*1.602189*10-19*5*10-4) = 8.05*1028 1/м³.
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