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  4. A message signal of frequency 5 kHz is used to modulate a carrier signal of frequency 2 MHz. The bandwidth for amplitude modulation is:

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Q. A message signal of frequency $5 \,kHz$ is used to modulate a carrier signal of frequency $2\, MHz$. The bandwidth for amplitude modulation is:

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Solution:

Given
Signal frequency $f _{ m }=5 \,kHz$
Carrier wave frequency $f_c=2 \,MHz$
$f _{ c }=2000\, KHz$
The resultant signal will have band width of frequency given by
$ {\left[\left( f _{ c }+ f _{ m }\right)-\left( f _{ c }- f _{ m }\right)\right]} $
$\Rightarrow[(2000+5)-(2000-5)] kHz$
$ \Rightarrow 10\, kHz$