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Консультация № 186029
14.05.2012, 16:39
78.80 руб.
14.05.2012, 17:46
0
2
2
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующие вопросы:
1. Определить поверхностную плотность зарядов на пластинах плоского слюдяного конденсатора, заряженного до разности потенциалов 100 В, если расстояние между его пластинами 0,3 мм.
1. Определить поверхностную плотность зарядов на пластинах плоского слюдяного конденсатора, заряженного до разности потенциалов 100 В, если расстояние между его пластинами 0,3 мм.
Обсуждение
Неизвестный
14.05.2012, 20:12
общий
это ответ
Здравствуйте, Дмитрий!
Электроемкость конденсатора равна C=Q/U, где Q - заряд, U - разность потенциалов.
С другой стороны, электроемкость плоского конденсатора равна C = epsilon*epsilon0*S/d, где epsilon0 - электрическая постоянная, epsilon - диэлектрическая проницаемость среды, для слюды - 7.5, S - площадь пластин, d - расстояние между пластинами.
Получаем
Q/U = epsilon*epsilon0*S/d
Выразим поверхностную плотность заряда
Q/S = epsilon*epsilon0*U/d
Подставляем числа
Q/S = 7.5*8.85*10-12*100/3*10-4 = 2.2125*10-5 Кл/м2
Электроемкость конденсатора равна C=Q/U, где Q - заряд, U - разность потенциалов.
С другой стороны, электроемкость плоского конденсатора равна C = epsilon*epsilon0*S/d, где epsilon0 - электрическая постоянная, epsilon - диэлектрическая проницаемость среды, для слюды - 7.5, S - площадь пластин, d - расстояние между пластинами.
Получаем
Q/U = epsilon*epsilon0*S/d
Выразим поверхностную плотность заряда
Q/S = epsilon*epsilon0*U/d
Подставляем числа
Q/S = 7.5*8.85*10-12*100/3*10-4 = 2.2125*10-5 Кл/м2
14.05.2012, 20:32
общий
это ответ
Здравствуйте, Дмитрий!
Электрическая ёмкость
плоского конденсатора определяется по формуле
откуда для площади пластин получим формулу
используя которую и с учётом того, что при заряде
на пластинах конденсатора поверхностная плотность 
его зарядов определяется формулой
получим
что после подстановки числовых значений величин даёт
Ответ: 2,2 [$183$] 10-5 Кл/м2.
С уважением.
Электрическая ёмкость
плоского конденсатора определяется по формулеоткуда для площади пластин получим формулу
используя которую и с учётом того, что при заряде
на пластинах конденсатора поверхностная плотность его зарядов определяется формулойполучим
что после подстановки числовых значений величин даёт
Ответ: 2,2 [$183$] 10-5 Кл/м2.
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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