A sinusoidal carrier wave of amplitude $40$ V is amplitude modulated by a sinusoidal signal voltage. What is the amplitude of each side band if the modulation index is $25 %$ .

50

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Solution

The correct option is A $50$ V
Frequency of carrier, $f c = 1 M H z = 1000 k H z$

Frequency of signal, $f s = 5 k H z$ Modulation factor, $m = 25 2.5$

Amplitude of carrier, $E C = 40 V$ The lower and upper sideband frequencies are : $f c - f s a n d f c + f s o r (1000 - 5) k H z a n d (1000 + 5)$

$995 k H z$ , and $1005 k H z$

Amplitude of each side band term $= m E c / 2 = 2.5 \times 40 / 2$
$= 50.0 V$

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A sinusoidal carrier wave of amplitude 40V is amplitude modulated by a sinusoidal signal voltage. What is the amplitude of each side band if the modulation index is 25%.

A sinusoidal carrier wave of amplitude $40$ V is amplitude modulated by a sinusoidal signal voltage. What is the amplitude of each side band if the modulation index is $25 %$ .