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Консультация № 179444
08.07.2010, 16:01
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Здравствуйте,
Конденсатор колебательного контура приемника имеет емкость С. На какую длину волны резонирует контур приемника, если отношение максимальных значений напряжения на контуре и тока в катушке контура при резонансе равно m/n.
Конденсатор колебательного контура приемника имеет емкость С. На какую длину волны резонирует контур приемника, если отношение максимальных значений напряжения на контуре и тока в катушке контура при резонансе равно m/n.
Обсуждение
09.07.2010, 16:30
общий
это ответ
Здравствуйте, noobjkee.
Если активное сопротивление контура R = 0, то при резонансе соответствующая длина волны λр может быть определена по формуле
λр = 2πс√(LC), где c – скорость распространения электромагнитных волн, L – индуктивность контура.
Поскольку максимальные значения напряжения Um и тока Im связаны соотношением Um/Im = √(L/C) = m/n, то L = Cm2/n2.
Поэтому λр = 2πс√(LC) = 2πс√(C2m2/n2) = 2πсCm/n.
С уважением.
Если активное сопротивление контура R = 0, то при резонансе соответствующая длина волны λр может быть определена по формуле
λр = 2πс√(LC), где c – скорость распространения электромагнитных волн, L – индуктивность контура.
Поскольку максимальные значения напряжения Um и тока Im связаны соотношением Um/Im = √(L/C) = m/n, то L = Cm2/n2.
Поэтому λр = 2πс√(LC) = 2πс√(C2m2/n2) = 2πсCm/n.
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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