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Консультация № 160173
11.02.2009, 09:57
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Здравствуйте мои дорогие эксперты.
Очень нужна ваша помощь, меньше недели до сессии.
Вот задачка:
Проволочное кольцо радиусом 10 см лежит на столе. Какое количество электричества протечет по кольцу, если его повернуть с одной стороны на другую? Сопротивление кольца равно 1 Ом. Вертикальная составляющая индукции магнитного поля Земли равна 50 мкТл.
Очень нужна ваша помощь, меньше недели до сессии.
Вот задачка:
Проволочное кольцо радиусом 10 см лежит на столе. Какое количество электричества протечет по кольцу, если его повернуть с одной стороны на другую? Сопротивление кольца равно 1 Ом. Вертикальная составляющая индукции магнитного поля Земли равна 50 мкТл.
Обсуждение
Неизвестный
11.02.2009, 18:27
общий
это ответ
Здравствуйте, Мария Романова!
Проволочное кольцо радиусом
R= 10 см= 0.1 (м)
лежит на столе.
Какое количество электричества
q=?
протечет по кольцу, если его повернуть с одной стороны на другую? Сопротивление кольца равно
R= 1 Ом
Вертикальная составляющая индукции магнитного поля Земли равна
B= 50 мкТл= 50e-6 (Тл)
___
Магнитный поток через кольцо
Ф= B*S= B*pi*R^2= 50e-6*pi*0.1^2= 1,57E-6 (Вб)
Изменение магнитного потока
Ф2-Ф1= 2*Ф= 3.14e-6 (Вб)
При малом изменении магнитного потока 'dФ' за малое время 'dt' в катушке возникает ЭДС индукции
E= -dФ/dt
При этом идет ток
I= E/R= (-dФ/dt)/R
За время dt по цепи пройдет малый заряд
dq= I*dt= (-dФ/(R*dt))*dt= -dФ/R
Для нахождения полного заряда прошедшего при изменении магнитногоо потока от Ф1 до Ф2, надо взять интеграл, получим:
|q|= (Ф2-Ф1)/R= 3.14e-6/1= 3.14e-6 (Кл)
Проволочное кольцо радиусом
R= 10 см= 0.1 (м)
лежит на столе.
Какое количество электричества
q=?
протечет по кольцу, если его повернуть с одной стороны на другую? Сопротивление кольца равно
R= 1 Ом
Вертикальная составляющая индукции магнитного поля Земли равна
B= 50 мкТл= 50e-6 (Тл)
___
Магнитный поток через кольцо
Ф= B*S= B*pi*R^2= 50e-6*pi*0.1^2= 1,57E-6 (Вб)
Изменение магнитного потока
Ф2-Ф1= 2*Ф= 3.14e-6 (Вб)
При малом изменении магнитного потока 'dФ' за малое время 'dt' в катушке возникает ЭДС индукции
E= -dФ/dt
При этом идет ток
I= E/R= (-dФ/dt)/R
За время dt по цепи пройдет малый заряд
dq= I*dt= (-dФ/(R*dt))*dt= -dФ/R
Для нахождения полного заряда прошедшего при изменении магнитногоо потока от Ф1 до Ф2, надо взять интеграл, получим:
|q|= (Ф2-Ф1)/R= 3.14e-6/1= 3.14e-6 (Кл)
Форма ответа
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