Alternating Current Question 9

Question 9 - 30 January - Shift 1

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 :

(1) $15 V$

(2) $10 V$

(3) $20 V$

(4) $5 V$

Show Answer

Answer: (2)

Solution:

Formula: Modulation Index

$A_c+A_m=120$

$A_c-A_m=80$

$\therefore A_c=100$

$A_m=20$

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

Amplitude of each sideband

$=A_c$

(modulation index)

2

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