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Question: In an amplitude modulation with modulation index 0.5, the ratio of the amplitude of the carrier wave...

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

Answer

4 : 1

Explanation

Solution

: Here, modulation index μ=0.5\mu = 0.5

Amplitude of the carrier wave=Ac= A_{c}

Amplitude of the side band =μAc2= \mu\frac{A_{c}}{2}

Their ratio =2μ=20.5=41= \frac{2}{\mu} = \frac{2}{0.5} = \frac{4}{1}