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Консультация № 195526
05.05.2019, 21:49
0.00 руб.
0
2
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Тороид диаметром (по средней линии) 50 см и площадью поперечного сечения 20 см2 содержит 1000 витков. Вычислить энергию магнитного поля тороида при силе тока 10 А. Сердечник выполнен из немагнитного материала и магнитное поле во всём объёме однородно.
Тороид диаметром (по средней линии) 50 см и площадью поперечного сечения 20 см2 содержит 1000 витков. Вычислить энергию магнитного поля тороида при силе тока 10 А. Сердечник выполнен из немагнитного материала и магнитное поле во всём объёме однородно.
Обсуждение
10.05.2019, 09:02
общий
Предлагаю продлить срок действия консультации на пять суток.
Об авторе:
Facta loquuntur.
Facta loquuntur.
10.05.2019, 23:02
общий
это ответ
Здравствуйте, mustang289!
Имеем
D=0,5 м -- диаметр средней линии тороида;
S=20*10-4 м2 -- площадь поперечного сечения тороида;
N=1000 -- количество витков обмотки тороида;
I=10 А -- ток, протекающий через обмотку тороида;
[$956$]=1 -- магнитная проницаемость материала сердечника тороида;
V=[$960$]DS=[$960$]*0,5*20*10-4[$8776$]3,14*10-3 м3 -- объём сердечника тороида;
L=[$956$]0[$956$]N2V=4[$960$]*10-7*1*10002*3,14*10-3[$8776$]3,95*10-3 (Гн) -- индуктивность тороида;
W=LI2/2=3,95*10-3*102/2[$8776$]0,198 (Дж) -- энергия магнитного поля тороида.
Литература
Чертов А. Г., Воробьёв А. А. Задачник по физике. -- М.: Издательство физико-математической литературы, 2001. -- 640 с.
Имеем
D=0,5 м -- диаметр средней линии тороида;
S=20*10-4 м2 -- площадь поперечного сечения тороида;
N=1000 -- количество витков обмотки тороида;
I=10 А -- ток, протекающий через обмотку тороида;
[$956$]=1 -- магнитная проницаемость материала сердечника тороида;
V=[$960$]DS=[$960$]*0,5*20*10-4[$8776$]3,14*10-3 м3 -- объём сердечника тороида;
L=[$956$]0[$956$]N2V=4[$960$]*10-7*1*10002*3,14*10-3[$8776$]3,95*10-3 (Гн) -- индуктивность тороида;
W=LI2/2=3,95*10-3*102/2[$8776$]0,198 (Дж) -- энергия магнитного поля тороида.
Литература
Чертов А. Г., Воробьёв А. А. Задачник по физике. -- М.: Издательство физико-математической литературы, 2001. -- 640 с.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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