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Консультация № 179445
08.07.2010, 16:46
0.00 руб.
0
3
1
Здравствуйте,
Контур состоит из катушки индуктивностью L = 28 мкГн, сопротивления R = 1 Ом и конденсатора емкостью С = 2222 пФ. Какую мощность должен потреблять контур, чтобы в нем поддерживались незатухающие колебания, при которых максимальное напряжение на конденсаторе U0 = 5 В.
Контур состоит из катушки индуктивностью L = 28 мкГн, сопротивления R = 1 Ом и конденсатора емкостью С = 2222 пФ. Какую мощность должен потреблять контур, чтобы в нем поддерживались незатухающие колебания, при которых максимальное напряжение на конденсаторе U0 = 5 В.
Обсуждение
09.07.2010, 18:09
общий
это ответ
Здравствуйте, noobjkee.
В активном сопротивлении R контура выделяется мощность, равная P = Iд2R, где R – действующее значение тока. Эта мощность и должна потребляться контуром, чтобы компенсировать потерю энергии. В свою очередь, действующее значение тока в контуре можно найти по формуле Iд = I0/√2 = U0√[C/(2L)], что дает
P = U02RC/(2L).
После подстановки в последнюю формулу численных значений величин получаем
P = 52 ∙ 1 ∙ 2222 ∙ 10-12/(2 ∙ 28 ∙ 10-6) ≈ 9,9 ∙ 10-4 (Вт).
С уважением.
В активном сопротивлении R контура выделяется мощность, равная P = Iд2R, где R – действующее значение тока. Эта мощность и должна потребляться контуром, чтобы компенсировать потерю энергии. В свою очередь, действующее значение тока в контуре можно найти по формуле Iд = I0/√2 = U0√[C/(2L)], что дает
P = U02RC/(2L).
После подстановки в последнюю формулу численных значений величин получаем
P = 52 ∙ 1 ∙ 2222 ∙ 10-12/(2 ∙ 28 ∙ 10-6) ≈ 9,9 ∙ 10-4 (Вт).
С уважением.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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