Power in Amplitude Modulation when carrier modulated 50%

The total power in an Amplitude Modulated signal if the carrier of an AM transmitter is 800 W and it is modulated 50 percent.

a.) 850W
b.) 1000.8KW
c.) 750W
d.) 900W

Correct Answer: 900W

Explanation:

The total power in an Amplitude Modulated wave is given by

P_T = P_C (1+ m²2)

Here, P_C = 800W,
m = 0.5

therefore,

P_T = 800 (1+ (0.5)²/2)

= 900 W