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Консультация № 189478
23.05.2016, 14:14
0.00 руб.
0
1
1
Здравствуйте! У меня возникли сложности с такой задачей:
Короткая катушка, содержащая N=10 витков диаметром d=4 см, помещена в однородное магнитное поле, индукция которого B=0,2 Тл. Ось катушки параллельна линиям поля. Сопротивление катушки R=10 Ом. Какой заряд пройдёт по катушке при повороте её на 90 градусов?
Короткая катушка, содержащая N=10 витков диаметром d=4 см, помещена в однородное магнитное поле, индукция которого B=0,2 Тл. Ось катушки параллельна линиям поля. Сопротивление катушки R=10 Ом. Какой заряд пройдёт по катушке при повороте её на 90 градусов?
Обсуждение
24.05.2016, 21:15
общий
это ответ
Здравствуйте, spbb-97!
Потокосцепление
[tnr][$934$]=NBS[$183$]cos[$945$]=NB[$960$]d2/4[$183$]cos[$945$][/tnr]
где [tnr][$945$][/tnr] - угол между осью катушки и линиями магнитного поля.
При повороте катушки оно изменяется на
[tnr][$916$][$934$]=NB[$960$]d2/4[$183$](cos90[$176$]-cos0)=-NB[$960$]d2/4[/tnr]
при изменении потокосцепления со скоростью [tnr]d[$934$]/dt[/tnr] в катушке возникает ЭДС индукции [tnr][$8496$]=-d[$934$]/dt[/tnr] и течёт ток
[tnr]I=dq/dt=[$8496$]/R=-(d[$934$]/dt)/R
dq=-d[$934$]/R
[$8747$]dq=[$8747$]-d[$934$]/R
q=-[$916$][$934$]/R=NB[$960$]d2/4R=10[$183$]0,2Тл[$183$][$960$][$183$](0,04м)2/(4[$183$]10Ом)=2,5[$183$]10-4 Кл=0,25 мКл[/tnr]
Потокосцепление
[tnr][$934$]=NBS[$183$]cos[$945$]=NB[$960$]d2/4[$183$]cos[$945$][/tnr]
где [tnr][$945$][/tnr] - угол между осью катушки и линиями магнитного поля.
При повороте катушки оно изменяется на
[tnr][$916$][$934$]=NB[$960$]d2/4[$183$](cos90[$176$]-cos0)=-NB[$960$]d2/4[/tnr]
при изменении потокосцепления со скоростью [tnr]d[$934$]/dt[/tnr] в катушке возникает ЭДС индукции [tnr][$8496$]=-d[$934$]/dt[/tnr] и течёт ток
[tnr]I=dq/dt=[$8496$]/R=-(d[$934$]/dt)/R
dq=-d[$934$]/R
[$8747$]dq=[$8747$]-d[$934$]/R
q=-[$916$][$934$]/R=NB[$960$]d2/4R=10[$183$]0,2Тл[$183$][$960$][$183$](0,04м)2/(4[$183$]10Ом)=2,5[$183$]10-4 Кл=0,25 мКл[/tnr]
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