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An audio signal of 12 kHz modulates a ca...

An audio signal of 12 kHz modulates a carrier generated by a tank circuit containing 100 microhenry inductor and 100 pF capacitor. Calculate the frequency of first pair of side bands.

Text Solution

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Here, `v+m = 12 kHz`
`L = 100 muH = 10^(-4)H, c = 100 pF = 10^(-10)F`
`v_c = 1/(2pisqrt(LC)) = 7/(2 xx 22 sqrt(10^(-4) xx 10^(-10)))`
`= (7 xx 10^7)/44 Hz = 1592 xx 10^3 Hz = 1592 kHz `
`v_(SB) = v_c +- v_m = (1592 +-12) kHz`
`1604 kHz or 1580 kHz` .
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