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Задать вопрос экспертам

Консультация № 144784

23.09.2008, 17:42

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Образование

Доброе время суток) Помогите пожалуйста с задачей:

Магнитное (В = 2мТл) и электрическое (Е = 1,6 кВ/м) сонаправлены. Перпендикулярно векторам В и Е влетает электрон со скоростью V = 0.8 Мм/с. Определить ускорение а электрона.
Заранее большое спасибо.

Обсуждение

Неизвестный

23.09.2008, 20:49

общий

это ответ

Здравствуйте, Prapor1!
На электрон действуют две силы:
1) сила Кулона F_k со строны электрического поля:
F_k=q*E (1)
где E=1,6 кВ/м=1,6*10³ В/м, q=1,6*10^-19 Кл - заряд электрона
2) сила Лоренца со стороны магнитного поля:
F_л=q*V*B (2)
где V=0,8*10⁶ м/с, B=2 мТл=2*10^-3 Тл
С учетом того, что сила Кулона и сила Лоренца по условию задачи сонаправлены, запишем 2-ой закон Ньютона:
m*a=F_k+F_л (3)
где m=9,11*10^-31 кг - масса электрона
Подставляя (1) и (2) в (3) выражаем ускорение а:
a=q*(E-V*B)/m=1,6*10^-19*(1,6*10³-2*10^-3*0,8*10⁶>)/9,11*10^-31=0 м/с² – частица движется равномерно!

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