हिंदी

Find Modulation Index.

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प्रश्न

The carrier wave is given by

C(t) = 2sin(8πt) volt.

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

 

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उत्तर

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) =Acsinωct

The generalised equation of a modulating wave is given below:

cm(t)=Acsinωct+μAcsinωmtsinωct

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, Am=1 V

Amplitude of carrier wave, Ac=2 V

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

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2013-2014 (March) Delhi Set 1

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