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A coil of inductance 0.4 mH is connected...

A coil of inductance 0.4 mH is connected to a capacitor 400 pF. To what wavelengthm, is this circuit tuned ?

Text Solution

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`L = 0.4 mH = 0.4 xx 10^(-3) H, C = 400 pf = 4 xx 10^(10)F`
Frequncy `f = 1/(2pisqrtLC)= 1/(2xx 3.14) xx 1/sqrt(0.4 xx 10^(-3) xx 4 xx 10^(-10)) = 10^7/ (6.28 xx 4)Hz`
If the speed of electromagnetic wave is v, then
`lambda = v/f = (3xx 10^(8)rms^(-1))/(10^7/(6.28 xx 4 Hz)) = 753.6 m`
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