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Консультация № 161475
26.02.2009, 15:45
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Помогите пожалуйста решить задачу очень надо к 27 числу=/
Найти силу, действующую на заряд q=(2/3*10вминусдевятой)Кл если он находится на расстоянии 2см от заряженной нити с линейной пл-тью заряда (2*10вминусдевятой) Кл/см
Найти силу, действующую на заряд q=(2/3*10вминусдевятой)Кл если он находится на расстоянии 2см от заряженной нити с линейной пл-тью заряда (2*10вминусдевятой) Кл/см
Обсуждение
Неизвестный
26.02.2009, 17:53
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это ответ
Здравствуйте, Журавлев Ник Алекс!
Для вычисления силы, действующей на заряд мы можем воспользоваться формулой: F = E*q , где E - напряженность, создаваемая нитью.
Для вычисления E воспользуемся теоремой Гаусса: интеграл по замкнутой поверхности E dS = Q/epsilon0 , где epsilon0 - электрическая постоянная, Q - заряд, который "вырезается" замкнутой поверхностью.
Для случая нити за поверхность удобно взять цилиндр, ось которого совпадает с нитью. Примем высоту этого цилиндра за h, а радиус оснований за r (расстояние от нити до заряда). Тогда теорема Гаусса примет вид: E*(2*pi*r*h) = (lambda*h)/epsilon0 , где lambda - линейная плотность . Слева в выражении E умножается на площадь боковой поверхности цилиндра (площадь оснований не учитывается, так как основания цилиндра не пронизаются векторами напряженности).
Получаем E = lambda / (2*pi*epsilon0*r) .
Подставляем в первую формулу и получаем общее выражение: F = q*lambda / (2*pi*epsilon0*r) = 1,2*10^(-6) (Н) = 1,2 мкН.
Для вычисления силы, действующей на заряд мы можем воспользоваться формулой: F = E*q , где E - напряженность, создаваемая нитью.
Для вычисления E воспользуемся теоремой Гаусса: интеграл по замкнутой поверхности E dS = Q/epsilon0 , где epsilon0 - электрическая постоянная, Q - заряд, который "вырезается" замкнутой поверхностью.
Для случая нити за поверхность удобно взять цилиндр, ось которого совпадает с нитью. Примем высоту этого цилиндра за h, а радиус оснований за r (расстояние от нити до заряда). Тогда теорема Гаусса примет вид: E*(2*pi*r*h) = (lambda*h)/epsilon0 , где lambda - линейная плотность . Слева в выражении E умножается на площадь боковой поверхности цилиндра (площадь оснований не учитывается, так как основания цилиндра не пронизаются векторами напряженности).
Получаем E = lambda / (2*pi*epsilon0*r) .
Подставляем в первую формулу и получаем общее выражение: F = q*lambda / (2*pi*epsilon0*r) = 1,2*10^(-6) (Н) = 1,2 мкН.
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