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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующие вопросы: 193. Входной контур радиоприемника состоит из катушки индуктивностью 2 мГн и плоского конденсатора с площадью пластин 10 см2 и расстоянием между ними 2 мм. Пространство между пластинами заполнено слюдой с диэлектрической проницаемостью 7. На какую частоту настроен радио-приемник? 215. В цепь колебательного контура, содержащего последовательно соединенные резистор сопротивлением R = 40 Ом, катушку индуктивностью L = 0,36 Гн и конденсатор емкостью C = 28 мкФ, подключено внешнее переменное напряжение с амплитудным значением Um = 180 В и частотой ω = 314 рад/с. Определить сдвиг φ по фазе между током и внешним напряжением.
Ёмкость плоского конденсатора определяется по формуле: где ε - диэлектрическая проницаемость, ε0 = 8.8542·10-12 Ф/м - электрическая постоянная, S - площадь пластин, d - расстояние между ними. В нашем случае ε = 7, S = 10 см2 = 0.001 м2, d = 2 мм = 0.002 м и C = 7*8.8542·10-12*0.001/0.002 ≈ 3.1·10-11 Ф = 31 пФ.
Частота колебательного контура определяется выражением:
что при L = 2 мГн = 0.002 Гн и C = 3.1·10-11 Ф даёт
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