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Консультация № 194307
27.12.2018, 11:18
0.00 руб.
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
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Обсуждение
31.12.2018, 04:52
общий
это ответ
Здравствуйте, Zarefo10!
Воспользуемся теоремой Гаусса: поток вектора напряжённости электростатического поля сквозь любую замкнутую поверхность пропорционален алгебраической сумме зарядов, заключенных внутри этой поверхности, то есть
где S - поверхность, E - вектор напряжённости поля, [$945$] - угол между нормалью к поверхности и вектором напряжённости, [$949$] - диэлектрическая проницаемость среды, [$949$][sub]0[/sub] - электрическая постоянная, q[sub]1[/sub],...,q[sub]n[/sub] - заряды внутри поверхности. В частности, если S - сферическая поверхность радиуса r, и заряды расположены симметрично относительно её центра, то [$945$] = 0, S = 4[$960$]r[sup]2[/sup] и
откуда
где q - суммарный заряд внутри сферы радиуса r.
Для определения потенциала [$966$] воспользуемся тем, что
или, в случае сферически симметричного поля,
откуда
В данном случае для точки A имеем r = R/2, q = Q (внутри сферы радиуса R/2 находится только заряд в центре шара) и
Для точки C имеем r = 7R, q = Q+7Q = 8Q и
Воспользуемся теоремой Гаусса: поток вектора напряжённости электростатического поля сквозь любую замкнутую поверхность пропорционален алгебраической сумме зарядов, заключенных внутри этой поверхности, то есть
где S - поверхность, E - вектор напряжённости поля, [$945$] - угол между нормалью к поверхности и вектором напряжённости, [$949$] - диэлектрическая проницаемость среды, [$949$][sub]0[/sub] - электрическая постоянная, q[sub]1[/sub],...,q[sub]n[/sub] - заряды внутри поверхности. В частности, если S - сферическая поверхность радиуса r, и заряды расположены симметрично относительно её центра, то [$945$] = 0, S = 4[$960$]r[sup]2[/sup] и
откуда
где q - суммарный заряд внутри сферы радиуса r.
Для определения потенциала [$966$] воспользуемся тем, что
или, в случае сферически симметричного поля,
откуда
В данном случае для точки A имеем r = R/2, q = Q (внутри сферы радиуса R/2 находится только заряд в центре шара) и
Для точки C имеем r = 7R, q = Q+7Q = 8Q и
5
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