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A 100 V carrier peak changes from 160 V to 40 V by a modulating signal. The modulation factor is
1. 0.3
2. 0.5
3. 0.6
4. 0.7

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Correct Answer - Option 3 : 0.6

Concept:

For an Amplitude modulated wave with carrier amplitude AC, the maximum and minimum amplitude is given by:

Amax = Ac(1 + μ)

Amin = Ac(1 - μ)

\(\frac{{{A_{max}}}}{{{A_{min}}}} = \frac{{1 + μ}}{{1 - μ}}\)

The above can be written as:

\(μ = \frac{{{A_{max}} - {A_{min}}}}{{{A_{max}} + {A_{min}}}}\)

Calculation:

Given Amax = 160 V and Amin = 40 V

The modulation index will be:

\(μ = \frac{{{160} - 40}}{{160 + 40}}=\frac{120}{200}\)

μ = 0.6

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