Question

A carrier wave, c (t), given by

c(t) = [12 sin(4π x 10⁶ t)

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×10⁴t)] volt 

(2) on (t) = [9 sin (4π×10⁴ t)] volt 

(3) on (t) = [9 sin (8π×10⁴ t)] volt 

(4) on (t) = [16 sin (8π×10⁴ t)] volt

Answer 1

Correct option: (2) on (t) = [9 sin (4π×10⁴ t)] volt 

Explanation: 

We know that