A message signal of frequency `12 kHz` and peak voltage 12 volt is used to modulate a carrier of frequency ` 1 MHz` and peak voltage 24 volt. What is the modulation index and the side bands produced ?

Answer

0.5 , 1012 kHz , 988 kHz

Explanation

Here , ` A_(m) = 12 "volt" , A_( c ) = 24 "volt," v_(m) = 12 kHz,`
` v_( c ) = 1 MHz = 1000 kHz`
Modulation index , `mu = ( A_(m))/( A_( c )) = ( 12)/( 24) = 0.5`
The upper side band frequency ` = v_( c ) + v _(m)`
` = 1000 + 12 = 1012 kHz`
The lower side band frequency ` = v_( c ) - v _(m)`
` = 1000 - 12 = 988 kHz`