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A message signal of 12 kHz and peak volt...

A message signal of 12 kHz and peak voltage 20 V is used to modulate a carrier wave of frequency 12 MHz and peak voltage 30 V. Calculate the (i) modulation index (ii) side- band frequencies.

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For the effective transmission of signals, the high frequency carrier waves are used because these high frequency carrier waves travel through space or medium with the speed of light and they are not obstructed by earth's atmosphere.
(i) Modulation index , `mu_(a) = (A_(m))/(A_(c))=(20)/(30) = 0.67`
(iii) The side bands are
USB `= upsilon_(c)+upsilon_(m)=12000+12=12012 kHz`
`=1.20xx10^(7)Hz`
`=1.19xx10^(7)Hz`
LSB `=upsilon_(c)+upsilon_(m)=12000-12=11988.kHz`.
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