A sinusoidal carrier voltage is amplitude modulated. The resultan… - Vidyadip

MCQ

A sinusoidal carrier voltage is amplitude modulated. The resultant amplitude modulated wave has maximum and minimum amplitude of $120\,V$ and $80\,V$ respectively. The amplitude of each sideband is $..........V$

A
$15$
✓
$10$
C
$20$
D
$5$

✓

Answer

Correct option: B.

$10$

b
$A _{ c }+ A _{ m }=120$

$A _{ c }- A _{ m }=80$

$\therefore A _{ c }=100$

$A _{ m }=20$

Modulation index $=\frac{20}{100}=\frac{1}{5}$

Amplitude of each sideband

$= A _{ c } \frac{( mod \text { ulation index) }}{2}$

$=100 \times \frac{1}{10}=10 \text { volt }$

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