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Question

Physics Question on communication systems

Sinusoidal carrier voltage of frequency 1.5MHz1.5\, MHz and amplitude 50V50\, V is amplitude modulated by sinusoidal voltage of frequency 10kHz10\, kHz producing 50%50 \% modulation. The lower and upper side-band frequencies in kHzkHz are

A

1490, 1510

B

15101490

C

11490,11510\frac{1}{1490}, \frac{1}{1510}

D

11510,11490\frac{1}{1510}, \frac{1}{1490}

Answer

1490, 1510

Explanation

Solution

Here fc=1.5MHz=1500kHz,fm=10kHzf_{c}=1.5\, MHz =1500\, kHz ,\, f_{m}=10\, kHz
\therefore Low side-hand frequency
=fcfm=1500kHz10kHz=f_{c}-f_{m} =1500\, kHz -10\, kHz
=1490kHz=1490\, kHz
Upper side-band frequency
=fc+fm=1500kHz+10kHz=f_{c}+f_{m} =1500\, kHz +10\, kHz
=1510kHz=1510\, kHz