# Calculation of sideband and carrier power in AM signal

## An AM signal has a total power of 48 Watts with 45% modulation. Calculate the power in the carrier and the sidebands.

a.) 39.59 W, 4.505W

b.) 40.59 W, 4.205W

c.) 43.59 W, 2.205W

d.) 31.59 W, 8.205W

Correct Answer: c) 43.59 W, 2.205W

**Explanation:**

Given that P_{t} = 48 W

Modulation index m= 0.45

The total power in an AM is given by

P_{t}= P_{c }( 1 + m^{2}/2)

= P_{c} ( 1 +0.45_{2}/2)

48 = P_{c} * 1.10125

Therefore, P_{c} = 48/ 1.10125

= 43.59 W

The total power in two sidebands is 48 – 43.59 = 4.41 W

So the power in each sideband is 4.41/2 = 2.205 W
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