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Find the natural frequency of oscillation of a circuit containing an inductance of 400 mH and a capacity of `40 mu F`. To which wavelength will its response be maximum ? How long will the oscillations last ? |
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Answer» `v = ? L = 400 mH = 400 xx 10^(-3) H`, `C = 40 mu F = 40 xx 10^(6) F, lambda = ?` `v = (1)/(2 pi sqrt(LC)) = (1)/(2 pi sqrt(400 xx 10^(-3) xx 40 xx 10^(-6)))` `= (1000)/(8 pi) = 39.8 Hz` `lambda = (c )/(v) = (3 xx 10^(8))/(39.8) m = 7.5 xx 10^(6) m` When there is no loss of energy, oscillations will last for infinite time. |
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