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Question

Physics Question on communication systems

For an amplitude modulated wave the maximum amplitude is found to be 10V10\,V while the minimum amplitude is found to be 2V2V , the modulation index is

A

55

B

0.20.2

C

23\frac{2}{3}

D

32\frac{3}{2}

Answer

23\frac{2}{3}

Explanation

Solution

Given, Emax=10VE_{max} = 10\, V
Emin=2VE_{min} = 2\,V
Now, we know that modulation index
(ma)=EmaxEminEmax+Emin(m_a) = \frac{E_{max} - E_{min}}{E_{max} + E_{min}}
=10210+2= \frac{10-2}{10+2}
=812= \frac{8}{12}
=23= \frac{2}{3}