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The carrier wave is given by

C(*t*) = 2sin(8π*t*) volt.

The modulating signal is a square wave as shown. Find modulation index.

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#### Solution

Modulation index (μ) is the ratio of the amplitude of the modulating signal to the amplitude of the carrier wave.

The generalised equation of a carrier wave is given below:

c(t) =A_{c}sinω_{c}t

The generalised equation of a modulating wave is given below:

cm(t)=A_{c}sinω_{c}t+μA_{c}sinω_{m}tsinω_{c}t

Here, μ is defined as `A_m/A_c`

On comparing this with the equations of carrier wave and modulating wave, we get:

Amplitude of modulating signal, A_{m}=1 V

Amplitude of carrier wave, A_{c}=2 V

`:.mu=A_m/A_c=1/2=0.5`

Concept: Modulation and Its Necessity

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