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Консультация № 199528
05.11.2020, 17:34
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Здравствуйте! У меня возникли сложности с данной задачей:В поле бесконечной равномерно заряженной нити выделена поверхность в виде коаксиального цилиндра радиусом R1, ось которого совпадает с нитью. Длина цилиндра L. Поток вектора напряженности электрического поля нити через поверхность цилиндра равен Фо. Найти разность потенциалов между точками поля, лежащими на расстояниях R1 и R2 от оси цилиндра.
Обсуждение
08.11.2020, 08:41
общий
Адресаты:
В Вашей консультации rfpro.ru/question/199530 я задал Вам уточняющий вопрос.
Вы забросили свои консультации, и я вписал Вас в чёрный список головоморочевых.
Вы забросили свои консультации, и я вписал Вас в чёрный список головоморочевых.
11.11.2020, 15:44
общий
это ответ
Здравствуйте, differkbox!
По теореме Остроградского-Гаусса поток напряжённости через замкнутую поверхность, охватывающую заряд q, равен [$934$][sub]0[/sub] = q/[$949$][sub]0[/sub], где [$949$][sub]0[/sub] - электрическая постоянная. Тогда заряд внутри цилиндрической поверхности равен q = [$949$][sub]0[/sub][$934$][sub]0[/sub], и поскольку он равномерно распределён по отрезку нити длины L, то линейная плотность зарядов составит
Поскольку потенциал электрического поля нити на расстоянии r от ней равен
то искомая разность потенциалов составит
По теореме Остроградского-Гаусса поток напряжённости через замкнутую поверхность, охватывающую заряд q, равен [$934$][sub]0[/sub] = q/[$949$][sub]0[/sub], где [$949$][sub]0[/sub] - электрическая постоянная. Тогда заряд внутри цилиндрической поверхности равен q = [$949$][sub]0[/sub][$934$][sub]0[/sub], и поскольку он равномерно распределён по отрезку нити длины L, то линейная плотность зарядов составит
Поскольку потенциал электрического поля нити на расстоянии r от ней равен
то искомая разность потенциалов составит
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