Calculation of power dissipation in FM wave

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.

Options:

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

Correct Answer: b) 10 Watts

Explanation:

Standard expression for FM signal is given by
v(t) = A cos ( Ω_ct + m_f sin Ω_mt)
Comparing with the given equation,
A= 20
The dissipated power is given by P= V²_rms/R
= (20/√2)²/ 20
= 10Watts