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The maximum amplitude for an amplitude modulated wave is found to be 12V while the minimum amplitude is found to be 3V. The modulation index is 0.6x where x is ______. -

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Question

The maximum amplitude for an amplitude modulated wave is found to be 12V while the minimum amplitude is found to be 3V. The modulation index is 0.6x where x is ______.

Options

  • 2

  • 3

  • 1

  • 4

MCQ
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Solution

The maximum amplitude for an amplitude modulated wave is found to be 12V while the minimum amplitude is found to be 3V. The modulation index is 0.6x where x is 1.

Explanation:

From question,

Amax = Ac + Am = 12     ...(i)

Amin = Ac - Am = 3        ...(ii)

From eq (i) and (ii)

Ac = `15/2` and Am = `9/2`

Modulation index `"A"_"m"/"A"_"c"= (9//2)/(15//2)`

= 0.6 ∴ x = 1

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