Communication System Question 4

Question: Sinusoidal carrier voltage of frequency 1.5 MHz and amplitude 50 V is amplitude modulated by sinusoidal voltage of frequency 10 kHz producing 50% modulation. The lower and upper side-band frequencies in kHz are

Options:

A) $ 1490,,1510 $

B) $ 1510,,1490 $

C) $ \frac{1}{1490},\frac{1}{1510} $

D) $ \frac{1}{1590},\frac{1}{1490} $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Here, $ f _{c}=1.5MHz=1500kHz,f _{m}=10kHz $
$ \

Therefore $ Low side band frequency $ =f _{c}-f _{m}=1500kHz-10kHz=1490kHz $ Upper side band frequency $ =f _{c}+f _{m}=1500kHz+10kHz=1510kHz $