Power in Amplitude Modulation when carrier modulated 50%

Q.  The total power in an Amplitude Modulated signal if the carrier of an AM transmitter is 800 W and it is modulated 50 percent.
- Published on 12 Oct 15

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

ANSWER: 900 W
 
The total power in an Amplitude Modulated wave is given by

PT = PC (1+ m22)

Here, PC = 800W,
m = 0.5

therefore,

PT = 800 (1+ (0.5)2/2) = 900 W

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