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

Question

A message signal of frequency 5 kHz is used to modulate a carrier signal of frequency 2 MHz. The bandwidth for amplitude modulation is: (A) 10 kHz (B) 2.5 kHz (C) 20 kHz (D) 5 kHz

Tardigrade Admin · Accepted Answer

Given Signal frequency f m =5 kHz Carrier wave frequency fc=2 MHz f c =2000 KHz The resultant signal will have band width of frequency given by [( f c + f m )-( f c - f m )] ⇒[(2000+5)-(2000-5)] kHz ⇒ 10 kHz

Q. A message signal of frequency $5 k Hz$ is used to modulate a carrier signal of frequency $2 M Hz$ . The bandwidth for amplitude modulation is:

$10 k Hz$

$2.5 k Hz$

$20 k Hz$

$5 k Hz$

Given
Signal frequency $f_{m} = 5 k Hz$
Carrier wave frequency $f_{c} = 2 M Hz$
$f_{c} = 2000 KHz$
The resultant signal will have band width of frequency given by
$[(f_{c} + f_{m}) - (f_{c} - f_{m})]$
$\Rightarrow [(2000 + 5) - (2000 - 5)] k Hz$
$\Rightarrow 10 k Hz$

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

10kHz

2.5kHz

20kHz

5kHz