Carrier frequency in FM equation

Q.  What is the value of carrier frequency in the following equation for the FM signal?
v(t)= 5 cos(6600t+ 12sin2500t)
- Published on 14 Oct 15

a. 1150 Hz
b. 6600 Hz
c. 2500 Hz
d. 1050 Hz

ANSWER: 1050 Hz
 
A standard FM signal is represented by
v(t) = Ac cos(2πfct + kfsin2πfmt)
Ac = carrier amplitude
fc = carrier frequency
kf = modulation index
fm = modulating frequency
kf = frequency deviation/modulating frequency
therefore, fc = 6600/2π
= 1050Hz

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