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Консультация № 176502
04.02.2010, 21:01
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Уважаемые эксперты! Мне очень важно ваше мнение по поводу решения этой задачи. Если при решении рассматривать полукольцо, то в силу соображений симметрии один из интегралов при вычислении силы Ампера будет равен нулю. Если брать все кольцо, то означает ли это, что оба интеграла (и по х и по у) будут равны нулю? Или что-то я не так понимаю? Пределы интегрирования по всему кольцу будут от 0 до 2пи?
Тонкое проводящее кольцо с током I=40 А помещено в однородное магнитное поле (В = 80 мТл). Плоскость кольца перпендикулярна линиям магнитной индукции. Радиус R кольца равен 20 см. Найти силу F, растягивающую кольцо.
Спасибо
Тонкое проводящее кольцо с током I=40 А помещено в однородное магнитное поле (В = 80 мТл). Плоскость кольца перпендикулярна линиям магнитной индукции. Радиус R кольца равен 20 см. Найти силу F, растягивающую кольцо.
Спасибо
Обсуждение
Неизвестный
04.02.2010, 21:33
общий
Мальчиковский Роман Александрович:
Здравствуйте.
Интегрированием Вы вычисляете силу, действующую на кольцо как единое целое. В силу симметрии задачи она действительно получается 0. Ведь на диаметрально противоположные приращения кольца равно длины действуют одинаковые силы противоположно направленные. Поэтому кольцо будет растягиваться или сжиматься. Вот эту силу растяжения Вас и просят найти.
Здравствуйте.
Интегрированием Вы вычисляете силу, действующую на кольцо как единое целое. В силу симметрии задачи она действительно получается 0. Ведь на диаметрально противоположные приращения кольца равно длины действуют одинаковые силы противоположно направленные. Поэтому кольцо будет растягиваться или сжиматься. Вот эту силу растяжения Вас и просят найти.
05.02.2010, 00:12
общий
Мальчиковский Роман Александрович:
Посмотрите аналогичный вопрос 170832. Там представлены несколько вариантов решения (2 варианта в моём ответе и комментарий в мини-форуме от Lang21)
Посмотрите аналогичный вопрос 170832. Там представлены несколько вариантов решения (2 варианта в моём ответе и комментарий в мини-форуме от Lang21)
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