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An audio signal of 15000 Hz modulate a c...

An audio signal of 15000 Hz modulate a carrier generated by a tank circuit containing 1 nF capacitor and 10 microhenry inductor. Calculate the frequencies of first pair of side bands.

Text Solution

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Here, `v_(m) = 15000Hz, C =1 pF = 10^(-12)F, L = 10 xx 10^(-6)H`
`v_(c ) = (1)/(2pi sqrtLC) = (1)/(2 xx (22)/(7) xx sqrt(10 xx 10^(-6) xx 10^(-12))) = 1592kHz, v_(m) = 15kHz`
`V_(SB) = v_(c ) +- v_(m) = 1607 kHz or 1577 kHz`.
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