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Задать вопрос экспертам

Консультация № 173541

22.10.2009, 12:13

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Образование

Здравствуйте, уважаемые эксперты! Помогите, пожалуйста, решить задачу:

4. 58. В однородном магнитном поле с магнитной индукцией В = 1 Тл находится плоская катушка из 100 витков радиусом R = 10 см, плоскость которой с направлением поля составляет угол β = 60°. По катушке течет ток I = 10 А. Определить: 1) вращающий момент, действующий на катушку; 2) работу для удаления этой катушки из магнитного поля.

Должно получиться: 1) 15,7 H•м; 2) 27,2 Дж.

Обсуждение

давно

Посетитель
226425
1567

23.10.2009, 10:21

общий

это ответ

Здравствуйте, kot31.
На рисунке рамка с током в магнитном поле (вид сверху)

Решение:
Магнитный момент, обусловленный действием пары сил F, может быть рассчитан как

M=NIBS*sin[$966$], N=100 - количество витков, S=пR² - площадь контура, sin[$966$]=sin(90[$186$]-[$946$])=cos[$946$]

[$8658$] M=пR²NIB*cos[$946$]=3.14*0.1²*100*10*1*cos 60[$186$]=31.4*1/2=15.7 Н*м

Работа A=NI[$916$]Ф, [$916$]Ф=[$916$]BS*cos[$966$], [$916$]B=B-0=B

[$8658$] A=пR²*NIB*cos 30[$186$]=31.4*[$8730$]3/2=27.19 Дж

Удачи

5

Об авторе:
С уважением
shvetski

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