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Q.

An amplitude modulates signal is plotted below
 

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Which one of the following best describe the above signal?
 

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a

(9+sin(2.5π×105t))sin(2π×104t)V

b

(9+sin(4π×104t))sin(5π×105t)V

c

(1+9sin(2π×104t))sin(2.5π×105t)V

d

(9+sin(2π×104t))sin(2.5π×105t)V

answer is D.

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Detailed Solution

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Analysis of graph shows
(1)  Amplitude varies between
810V  or  9±1
(2)  two time period are
100μs (modulating wave) &  8μs  (Carrier wave)
Thus modulated signal is  [9±1sin(2πtT1)]sin(2πtT2)

=[9±1sin(2π×104t)]sin(2.5π×105t)

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