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An audio signal of 15000Hz is modulating...

An audio signal of 15000Hz is modulating a carrier generated by a tank circuit containing 1pF capacitor and 10 micro henry inductor. Calculate the frequencies of 1st pair of side bands.

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Here, `f_(m)=15000Hz =15kHz`, `C= 1nF=10^(-9),f_(SB)=?`, `L=10mu H=10xx10^(-6)H=10^(-5)H`,`f_(c)=(1)/(2pi sqrt LC)=(1)/(2xx(22)/(7) sqrt (10^(-5)xx10^(-9)))=(10^(7)xx7)/(44)Hz=1592kHz`, `f_(SB)=f_(c)+-f_(m)=1592+-15=1607 kHz or 1577kHz`
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