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Консультация № 168532
30.05.2009, 01:26
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Соленоид диаметром 6 см и длиной 60 см намотан на стальной стержень в один слой 1000 витков провода. Определить индуктивность такого соленоида при пропускании по нему тока 1 А.
Обсуждение
30.05.2009, 10:23
общий
это ответ
Здравствуйте, Dedyshka.
D = 6 см = 6*10^-2 м
l = 60 см = 0,6 м
(сталь)
N = 1000
I = 1 A
L - ?
L=Ф/I
магнитный поток Ф=BS= 1/4 *пD^2*B, п = 3,14
магнитная индукция В= м*мо*I*N/l ; здесь м (мю) - магнитная проницаемость стали, зависит от индукции внешнего магнитного поля; мо(мю нулевое) = 4п*10^-7 Гн/м.
мо необходимо найти по справочникам, предварительно рассчитав индукцию Во - индукцию внешнего магнитного поля (в отсутствие сердечника).
Во=мо*I*N/l
Во = 4*3,14*10^-7*1*1000/0,6 = 20933,3*10^-7 = 2.1*10^-3 Тл. Отсюда, по справочникам (Енохович) мо=(примерно)=700
Тогда В = Во*мо = 1,4 Тл
Ф= 1,4*1/4*3.14*(6*10^-2)^2 = 39,5*10^-4 Вб = 4*10^-3 Вб
L = 4мГн
Расчеты надо проверить, на всяк случай
D = 6 см = 6*10^-2 м
l = 60 см = 0,6 м
(сталь)
N = 1000
I = 1 A
L - ?
L=Ф/I
магнитный поток Ф=BS= 1/4 *пD^2*B, п = 3,14
магнитная индукция В= м*мо*I*N/l ; здесь м (мю) - магнитная проницаемость стали, зависит от индукции внешнего магнитного поля; мо(мю нулевое) = 4п*10^-7 Гн/м.
мо необходимо найти по справочникам, предварительно рассчитав индукцию Во - индукцию внешнего магнитного поля (в отсутствие сердечника).
Во=мо*I*N/l
Во = 4*3,14*10^-7*1*1000/0,6 = 20933,3*10^-7 = 2.1*10^-3 Тл. Отсюда, по справочникам (Енохович) мо=(примерно)=700
Тогда В = Во*мо = 1,4 Тл
Ф= 1,4*1/4*3.14*(6*10^-2)^2 = 39,5*10^-4 Вб = 4*10^-3 Вб
L = 4мГн
Расчеты надо проверить, на всяк случай
Об авторе:
С уважением
shvetski
С уважением
shvetski
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