1.

Find the natural frequency of a circuit jcontaininig inductance of `100 mu H` and a capacity of `0.1 mu F`. To which wavelength will its respone be maximum? How long will the oscillations last ?`

Answer» Here,`v = ? L = 100 mu H = 10^(-4) H`
`C = 0.01 mu F = 10^(-8) F`
`v = (1)/(2 pi sqrt(LC)) = (1)/(2 pi sqrt(10^(-4) xx 10^(-8))) = (10^(6))/(2 pi) Hz`
`v = 159.2 xx 10^(3) Hz = 159.2 kHz`
`lambda = (C )/(v) = (3 xx 10^(8))/(159.2 xx 10^(3)) = 1.884 xx 10^(3) m`
As no loss of energy is assumed, therefore, the oscillations will continue for infinite time.


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