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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 mocrohenry inductor. Calculate the frequencies of first pair of side bands.

Text Solution

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Here, `v_(m) = 15000 Hz= 15kHz`
`C = 1 nF = 10^(-9) F, v_(SB) = ?`
`L = 10 mu H = 10 xx 10^(-6)H = 10^(-5) H`
`V_(c) =(1)/(2pisqrt(LC)) =(1)/(2xx(22)/(7) sqrt(10^(-5) xx 10^(-9)))`
` = (10^(7)xx7)/44 Hz = 1592 kHz`
`v_(SB) = v_(c) +- v_(m) = 1592 +- 15`
`= 1607 kHz or 1577 kHz`
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