In an amplitude modulation with modulation index 0.5, the ratio of the amplitude of the carrier wave to that of the side band in the modulated wave is

Question

In an amplitude modulation with modulation index 0.5, the ratio of the amplitude of the carrier wave to that of the side band in the modulated wave is (A) 4: 1 (B) 1: 4 (C) 1: 2 (D) 2: 1

Tardigrade Admin · Accepted Answer

Modulation index =0.5 =(1/2) A text side band =(μ A C/2) (A text side band /A C) =(μ/2)=(1/4) or (A C/A text side band ) =(4/1)

Q. In an amplitude modulation with modulation index $0.5$ , the ratio of the amplitude of the carrier wave to that of the side band in the modulated wave is

$4 : 1$

$1 : 4$

$1 : 2$

$2 : 1$

1 : 4

Modulation index $= 0.5 = \frac{1}{2}$
$A_{side band} = \frac{μ A C}{2}$
$\frac{A _{side band}}{A C} = \frac{μ}{2} = \frac{1}{4}$
or $\frac{A C}{A _{side band}} = \frac{4}{1}$

Q. In an amplitude modulation with modulation index 0.5, the ratio of the amplitude of the carrier wave to that of the side band in the modulated wave is

4:1

1:4

1:2

2:1