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Консультация № 196699
17.10.2019, 12:54
0.00 руб.
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1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Определить потенциал в геометрическом центре равномерно заряженной дуги окружности радиусом R = 14 см, с углом охвата α = 30°, если напряжённость электрического поля в этой точке равна Е = 2,3 кВ/м.
Определить потенциал в геометрическом центре равномерно заряженной дуги окружности радиусом R = 14 см, с углом охвата α = 30°, если напряжённость электрического поля в этой точке равна Е = 2,3 кВ/м.
Обсуждение
22.10.2019, 07:11
общий
это ответ
Здравствуйте, dar777!
Напряжённость и потенциал электрического поля в геометрическом центре равномерно заряженной дуги окружности радиусом R с углом охвата [$945$] определяются выражениями
где [$964$] - линейная плотность заряда. Выражая её из обоих формул, получаем
откуда
В данном случае E = 2300 В/м, R = 14 см = 0.14 м, [$945$] = 30[$186$] = [$960$]/6 [$8776$] 0.5236, sin [$945$]/2 [$8776$] 0.2588 и потенциал будет равен
Напряжённость и потенциал электрического поля в геометрическом центре равномерно заряженной дуги окружности радиусом R с углом охвата [$945$] определяются выражениями
где [$964$] - линейная плотность заряда. Выражая её из обоих формул, получаем
откуда
В данном случае E = 2300 В/м, R = 14 см = 0.14 м, [$945$] = 30[$186$] = [$960$]/6 [$8776$] 0.5236, sin [$945$]/2 [$8776$] 0.2588 и потенциал будет равен
5
Это самое лучшее решение!
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