Calculation of sideband and carrier power in AM signal

Q.  An AM signal has a total power of 48 Watts with 45% modulation. Calculate the power in the carrier and the sidebands.
- Published on 13 Oct 15

a. 39.59 W, 4.505 W
b. 40.59 W, 4.205 W
c. 43.59 W, 2.205 W
d. 31.59 W, 8.205 W

ANSWER: 43.59 W, 2.205 W
 
Given that Pt = 48 W

Modulation index m = 0.45

The total power in an AM is given by
Pt = Pc ( 1 + m2/2)
= Pc ( 1 +0.452/2)
48 = Pc * 1.10125

Therefore, Pc = 48/ 1.10125
= 43.59 W
The total power in two sidebands is 4843.59 = 4.41 W
So the power in each sideband is 4.41/2 = 2.205 W

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