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Консультация № 179364
01.07.2010, 18:46
0.00 руб.
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3
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Здравтсвуйте,
Металлический диск радиусом r = 10 см, расположенный перпендикулярно магнитному полю с индукцией В = 1 Тл, вращается вокруг оси, проходящей через центр, с частотой n = 100 с-1. Два скользящих контакта (один на оси диска, другой — на окружности) соединяют диск с реостатом сопротивлением R = 5 Ом. Чему равна тепловая мощность, выделяемая на реостат?
Металлический диск радиусом r = 10 см, расположенный перпендикулярно магнитному полю с индукцией В = 1 Тл, вращается вокруг оси, проходящей через центр, с частотой n = 100 с-1. Два скользящих контакта (один на оси диска, другой — на окружности) соединяют диск с реостатом сопротивлением R = 5 Ом. Чему равна тепловая мощность, выделяемая на реостат?
Обсуждение
Неизвестный
01.07.2010, 22:50
общий
02.07.2010, 12:43
это ответ
Здравствуйте, noobjkee!
Для нахождения тепловой мощности на реостате нам надо оценить какое напряжение выробатывается на диску.За законом Фарадея: Е=-dФ/dt , где Е-эрс индукции,
dФ/dt - скорость смена магнитново потоку за время.
dФ=B*dS; dS-площадь через которую проходит магнитный поток.
Так как нам интерестно только само значение,а не знак эрс.То:
Е=|dФ/dt|=|B*dS/dt|(1)
За полный период вращение диска,площадь будет равна S=Pi*R^2;
(1)=|B*(Pi*R^2)/T|, где T=2*Pi/w- период вращение, w-частота вращение.
Окончательно получаем: E=B*(R^2)*w/2
Теперь вичислим тепловую мощность на реостате:
P=(E^2)/R=((B*(R^2)*w/2)^2)/R=0.05 Дж=50мДжВт
Для нахождения тепловой мощности на реостате нам надо оценить какое напряжение выробатывается на диску.За законом Фарадея: Е=-dФ/dt , где Е-эрс индукции,
dФ/dt - скорость смена магнитново потоку за время.
dФ=B*dS; dS-площадь через которую проходит магнитный поток.
Так как нам интерестно только само значение,а не знак эрс.То:
Е=|dФ/dt|=|B*dS/dt|(1)
За полный период вращение диска,площадь будет равна S=Pi*R^2;
(1)=|B*(Pi*R^2)/T|, где T=2*Pi/w- период вращение, w-частота вращение.
Окончательно получаем: E=B*(R^2)*w/2
Теперь вичислим тепловую мощность на реостате:
P=(E^2)/R=((B*(R^2)*w/2)^2)/R=0.05 Дж=50м
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