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Консультация № 194930
10.03.2019, 20:36
0.00 руб.
0
1
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Перпендикулярно однородному электрическому полю с напряженностью 100В/м помещена плоскопараллельная диэлектрическая пластинка
с проницаемостью = 2. Найти плотность связанных зарядов на поверхности пластины.
Прошу подробное решение.
Перпендикулярно однородному электрическому полю с напряженностью 100В/м помещена плоскопараллельная диэлектрическая пластинка
с проницаемостью = 2. Найти плотность связанных зарядов на поверхности пластины.
Прошу подробное решение.
Обсуждение
15.03.2019, 17:43
общий
это ответ
Здравствуйте, Sergio!
Пусть имеем две непроводящие среды (диэлектрика) с проницаемостью [$949$][sub]1[/sub] и [$949$][sub]2[/sub]. Определим, как связаны значения напряженности электрического поля E[sub]1[/sub] и E[sub]2[/sub] в этих средах. С одной стороны, если поле перпендикулярно границе раздела сред, то
С другой стороны, под действием электрического поля происходит поляризация диэлектрика с возникновением связанных зарядов, которые создают дополнительное противоположно направленное электрическое поле (т.н. деполяризующее) с напряжённостью E[sub]p[/sub], то есть
Отсюда имеем
а плотность связанных зарядов, создающих это поле, будет равна
где [$949$][sub]0[/sub] = 8.8542[$183$]10[sup]-12[/sup] Ф/м - электрическая постоянная.
В данном случае E[sub]1[/sub] = 100 В/м, [$949$][sub]1[/sub] = 1 (вакуум), [$949$][sub]2[/sub] = 2 и
Кл/м2
Пусть имеем две непроводящие среды (диэлектрика) с проницаемостью [$949$][sub]1[/sub] и [$949$][sub]2[/sub]. Определим, как связаны значения напряженности электрического поля E[sub]1[/sub] и E[sub]2[/sub] в этих средах. С одной стороны, если поле перпендикулярно границе раздела сред, то
С другой стороны, под действием электрического поля происходит поляризация диэлектрика с возникновением связанных зарядов, которые создают дополнительное противоположно направленное электрическое поле (т.н. деполяризующее) с напряжённостью E[sub]p[/sub], то есть
Отсюда имеем
а плотность связанных зарядов, создающих это поле, будет равна
где [$949$][sub]0[/sub] = 8.8542[$183$]10[sup]-12[/sup] Ф/м - электрическая постоянная.
В данном случае E[sub]1[/sub] = 100 В/м, [$949$][sub]1[/sub] = 1 (вакуум), [$949$][sub]2[/sub] = 2 и
Кл/м2
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