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Консультация № 194587
04.02.2019, 14:47
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1
Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
По кольцу, сделанному из тонкого гибкого проводника радиусом R = 20 см, течет ток I = 50 А. Перпендикулярно плоскости кольца возбуждено магнитное поле, индукция которого В = 2 Тл. Собственное магнитное поле кольца и внешнее поле совпадают. Определить работу внешних сил, которые, действуя на проводник, деформировали его и придали ему форму квадрата. Сила тока при этом поддерживалась неизменной. Работой против упругих сил пренебречь.
По кольцу, сделанному из тонкого гибкого проводника радиусом R = 20 см, течет ток I = 50 А. Перпендикулярно плоскости кольца возбуждено магнитное поле, индукция которого В = 2 Тл. Собственное магнитное поле кольца и внешнее поле совпадают. Определить работу внешних сил, которые, действуя на проводник, деформировали его и придали ему форму квадрата. Сила тока при этом поддерживалась неизменной. Работой против упругих сил пренебречь.
Обсуждение
09.02.2019, 05:56
общий
это ответ
Здравствуйте, dar777!
Если при перемещении или изменении формы замкнутого контура с током I = const магнитный поток через поверхность, ограниченную контуром, изменяется на величину [$916$][$934$], то совершаемая при этом работа равна
В данном случае магнитный поток через кольцо (до деформации) и квадратную рамку (после деформации) равен соответственно
и
где B - индукция магнитного поля,
- площадь кольца радиусом R,
- площадь квадратной рамки со стороной a. Следовательно,
Так как при деформации длина проводника не изменилась, то периметр квадрата равен длине кольца, то есть
откуда
и совершённая работа равна
Дж
(знак "-" означает. что работа была совершена внешними силами).
Если при перемещении или изменении формы замкнутого контура с током I = const магнитный поток через поверхность, ограниченную контуром, изменяется на величину [$916$][$934$], то совершаемая при этом работа равна
В данном случае магнитный поток через кольцо (до деформации) и квадратную рамку (после деформации) равен соответственно
и
где B - индукция магнитного поля,
- площадь кольца радиусом R,
- площадь квадратной рамки со стороной a. Следовательно,
Так как при деформации длина проводника не изменилась, то периметр квадрата равен длине кольца, то есть
откуда
и совершённая работа равна
Дж(знак "-" означает. что работа была совершена внешними силами).
5
Это самое лучшее решение!
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