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Консультация № 200593
07.04.2021, 17:22
0.00 руб.
1
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1
Здравствуйте! У меня возникли сложности с таким вопросом:
Bдали от торцов длинного соленоида магнитное поле внутри него однородно и его индукция равна B. Один из торцов соленоида закрывают картонным диском, на котором с другой стороны от соленоида помещают круговой виток из проволоки так, что центр витка совпадает с осью соленоида (рис. 1). Найдите силу натяжения проволоки витка, если его радиус равен R, а сила тока в витке I. Трением витка о картон пренебречь.
Bдали от торцов длинного соленоида магнитное поле внутри него однородно и его индукция равна B. Один из торцов соленоида закрывают картонным диском, на котором с другой стороны от соленоида помещают круговой виток из проволоки так, что центр витка совпадает с осью соленоида (рис. 1). Найдите силу натяжения проволоки витка, если его радиус равен R, а сила тока в витке I. Трением витка о картон пренебречь.
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Обсуждение
11.04.2021, 01:55
общий
это ответ
Здравствуйте, kolotaevaliza2004!
Полагаю так...
Проволочное кольцо радиуса R находится в магнитном поле с индукцией В, линии которого перпендикулярны плоскости кольца. По кольцу протекает ток I. Кольцо растягивается магнитными силами. Во всех направлениях в плоскости кольца эти силы одинаковы. Рассмотрим растяжение кольца силами, ориентированными вдоль оси х (см.рис.).
Каждый элемент кольца dl может быть разложен на элементарные проекции dl[sub]x[/sub] и dl[sub]y[/sub].
На каждый отрезок dl[sub]y[/sub] действует элементарная сила
dF[sub]x[/sub]=I*B*dl[sub]y[/sub]
Просуммировав в правой части все dl[sub]y[/sub], получим 2R
Тогда при этом в левой части сумма всех dF[sub]x[/sub] даст искомую силу растяжения F[sub]x[/sub].
Таким образом, получили...
сила растяжения кольца с током в магнитном поле
[i]F=2R*I*B[/i]
*******
Как-то так
Удачи
Полагаю так...
Проволочное кольцо радиуса R находится в магнитном поле с индукцией В, линии которого перпендикулярны плоскости кольца. По кольцу протекает ток I. Кольцо растягивается магнитными силами. Во всех направлениях в плоскости кольца эти силы одинаковы. Рассмотрим растяжение кольца силами, ориентированными вдоль оси х (см.рис.).
Каждый элемент кольца dl может быть разложен на элементарные проекции dl[sub]x[/sub] и dl[sub]y[/sub].
На каждый отрезок dl[sub]y[/sub] действует элементарная сила
dF[sub]x[/sub]=I*B*dl[sub]y[/sub]
Просуммировав в правой части все dl[sub]y[/sub], получим 2R
Тогда при этом в левой части сумма всех dF[sub]x[/sub] даст искомую силу растяжения F[sub]x[/sub].
Таким образом, получили...
сила растяжения кольца с током в магнитном поле
[i]F=2R*I*B[/i]
*******
Как-то так
Удачи
4
Об авторе:
С уважением
shvetski
С уважением
shvetski
с чем же тогда связать понижение оценки
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