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Question:

A $100 \mathrm{~V}$ carrier wave is made to vary between $160 \mathrm{~V}$ and $40 \mathrm{~V}$ by a modulating signal. What is the modulation index?

  1. (1) $0.3$

  2. (2) $0.5$

  3. (3) $0.6$

  4. (4) $0.4$


Correct Option: 3,

Solution:

(3) Maximum amplitude $=\mathrm{E}_{m}+\mathrm{E}_{c}=160$

$E_{m}+100=160$

$E_{m}^{\prime}=160-100=60$

Modulation index,

$\mu=\frac{E_{m}}{E_{c}}=\frac{60}{100}$

$\mu=0.6$

 

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