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A carrier wave, c (t), given by

c(t) = [12 sin (4π x 106t)]

is amplitude modulated by a given sinusoidal volts message signal. The resultant (AM) carrier wave has a modulation index of 75% and a bandwidth that is 2% of the carrier wave frequency. The equations for this message signal is

(1) on (t) = [16 sin (4π x 104 )] volt

(2) on (t) = [9 sin (4π x 104 t)] volt

(3) on (t) = [9 sin (8π x 104 t)] volt

(4) on (t) = [16 sin (8π x 104 t)] volt

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Best answer

(2) on (t) = [9 sin (4π x 104 t)] volt

We know that

Further, for an (AM) carrier wave, 

Bandwidth = 2 x frequency of the message signal.

∴ The equation for the message signal is

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