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Консультация № 161494
26.02.2009, 19:24
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по проводнику, изогнутому в иде кольца радиусом 20см, содержит 500 витков, течет ток силой 1А. Определить объемную плотность энергии магнитного поля в центре кольца.
Обсуждение
Неизвестный
02.03.2009, 02:33
общий
04.03.2009, 05:48
это ответ
Здравствуйте, Бучина Ольга!
по проводнику, изогнутому в иде кольца радиусом
R= 20см= 0.2 (м)
содержит
n= 500 витков
течет ток силой
I1= 1А
Определить объемную плотность энергии магнитного поля в центре кольца
Wm/V= ?
___
Индукция в центре кольца с током
B= mu0*I/(2*R)
(Находится из закона Био-Савара-Лапласа, интегрируя ток по длине кольца.)
где
I= I1*n
mu0= 4*pi*10^(-7), магнитная постоянная
B= mu0*I1*n/(2*R)
объемная плотность энергии магнитного поля
Wm/V= B^2/(2*mu0)
в центре кольца
Wm/V= mu0*(I1*n)^2/(8*R^2)= 4*pi*1e-7*(1*500)^2/(8*0.2^2)
Ответ
Wm/V= 1.0 (Дж/м^3)
по проводнику, изогнутому в иде кольца радиусом
R= 20см= 0.2 (м)
содержит
n= 500 витков
течет ток силой
I1= 1А
Определить объемную плотность энергии магнитного поля в центре кольца
Wm/V= ?
___
Индукция в центре кольца с током
B= mu0*I/(2*R)
(Находится из закона Био-Савара-Лапласа, интегрируя ток по длине кольца.)
где
I= I1*n
mu0= 4*pi*10^(-7), магнитная постоянная
B= mu0*I1*n/(2*R)
объемная плотность энергии магнитного поля
Wm/V= B^2/(2*mu0)
в центре кольца
Wm/V= mu0*(I1*n)^2/(8*R^2)= 4*pi*1e-7*(1*500)^2/(8*0.2^2)
Ответ
Wm/V= 1.0 (Дж/м^3)
Форма ответа
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