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Консультация № 169188
09.06.2009, 17:03
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Здравствуйте, уважаемые эксперты. Помогите, пожалуйста, решить задачу:
Частице массой m с положительным зарядом q сообщают скорость перпендикулярно силовым линиям однородного магнитного поля с индукцией В. Показать, что частота вращения частицы в этом поле не зависит от скорости, и найти эту частоту.
Частице массой m с положительным зарядом q сообщают скорость перпендикулярно силовым линиям однородного магнитного поля с индукцией В. Показать, что частота вращения частицы в этом поле не зависит от скорости, и найти эту частоту.
Обсуждение
09.06.2009, 17:45
общий
10.06.2009, 09:53
это ответ
Здравствуйте, Болдырев Тимофей.
Сила Лоренца F=qvB равна, согласно 2 закону Ньютона ma, где a=v^2/R, где v- скорость частицы, R - радиус окружности
Следовательно
qB=mv/R (1)
Скорость частицы v = l*n, где l - длина окружности, n - частота вращения.
Подставим в (1)
qB = m*l*n/R, при этом l/R = 2*pi (pi=3,14), т.е. qB = 2*pi*m*n
Длина окружности
L= 2*pi*R
поэтому частота вращения частицы
n = q*B/(2*pi*m)
-----
[b]Baybak, Профессионал[/b]
Отсюда, частотаn=q*B/п*m, n = q*B/(2*pi*m) как видим из полученной формулы, скорость частицы не влияет на частоту вращения
Сила Лоренца F=qvB равна, согласно 2 закону Ньютона ma, где a=v^2/R, где v- скорость частицы, R - радиус окружности
Следовательно
qB=mv/R (1)
Скорость частицы v = l*n, где l - длина окружности, n - частота вращения.
Подставим в (1)
qB = m*l*n/R, при этом l/R = 2*pi (pi=3,14), т.е. qB = 2*pi*m*n
Длина окружности
L= 2*pi*R
поэтому частота вращения частицы
n = q*B/(2*pi*m)
-----
[b]Baybak, Профессионал[/b]
Отсюда, частота
4
Об авторе:
С уважением
shvetski
С уважением
shvetski
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