Calculation of power dissipation in FM wave

Q.  For a FM signal v(t) = 20 cos ( 10 * 108t + 30 sin 3000t), calculate the power dissipated by the FM wave in a 20Ω resistor.
- Published on 14 Oct 15

a. 100 Watts
b. 10 Watts
c. 200 Watts
d. 20 Watts

ANSWER: 10 Watts
 
Standard expression for FM signal is given by
v(t) = A cos ( Ωct + mf sin Ωmt)
Comparing with the given equation,
A = 20
The dissipated power is given by P = V2rms/R
= (20/√2)2/ 20
= 10Watts

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