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Задать вопрос экспертам

Консультация № 172989

06.10.2009, 20:19

25.00 руб.

0 1 1

Образование

Чему равна объемная плотность энергии магнитного поля в соленоиде без сердечника, имеющего плотную однослойную намотку проводом диаметром 0,2 мм, если по нему течет ток величины 0,1 А?

Обсуждение

давно

Мастер-Эксперт
226425
1567

06.10.2009, 22:06

общий

это ответ

Здравствуйте, Bestelm.
Дано:
D=0.2 мм=0,2*10^-3 м
I=0.1 A
Найти: w
Решение:
Объемная плотность энергии

w=W/V=[$956$]₀H²/2 (*), здесь [$956$]₀=4*pi*10^-7 Гн/м

Напряженность магнитного поля бесконечно длинного соленоида длиной L из N витков

H=B/[$956$]₀=N*I/L

Считаем N=1 при L=D

Тогда

w=[$956$]₀*N²*I²/2D² = 4*3.14*10^-7*1²*0.1²/2*0.2*10^-3=3.1*10^-5 Дж/м³

Удачи

5

Об авторе:
С уважением
shvetski

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