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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.

Text Solution

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Here, `v_m`=15000 Hz, C=1 pF =`10^(-12)` F, L=`10xx10^(-6)` H
`v_c=(1)/(2pisqrt"LC")`
`=1/(2xx22/7xxsqrt(10xx10^(-6)xx10^(-12)))`
=1592 kHz, `v_m`=15 kHz
`v_"SB"=v_c pm v_m`
=1607 kHz or 1577 kHz
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