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In amplitude modulation, the modulation envelope has a peak value which is double the unmodulated carrier value. What is the value of the modulation index ?
  • a)
    25%
  • b)
    50%
  • c)
    75%
  • d)
    100%
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In amplitude modulation, the modulation envelope has a peak value whic...
 Thus α = 1, therefor modulation index is 1 or 100% modulation.
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Most Upvoted Answer
In amplitude modulation, the modulation envelope has a peak value whic...
Amplitude modulation (AM) is a modulation technique in which the amplitude of the carrier signal is varied in accordance with the message signal. The modulation index is a parameter that describes the extent of amplitude variation in the carrier signal.

Calculation of modulation index:
- The modulation index (m) is defined as the ratio of the amplitude of the message signal (A_m) to the amplitude of the carrier signal (A_c).
- In the given problem, the peak value of the modulation envelope is double the unmodulated carrier value. This means that the amplitude of the modulated signal varies between 0 and 2A_c, with a peak amplitude of 2A_c.
- The amplitude of the message signal can be calculated as (2A_c - A_c)/2 = A_c.
- Therefore, the modulation index is given by m = A_c/A_c = 1.
- The modulation index is expressed as a percentage, so the answer is 100%.

Conclusion:
The modulation index is a measure of the extent of amplitude variation in the carrier signal in amplitude modulation. In the given problem, the modulation index is 100%, which means that the amplitude of the carrier signal varies between 0 and 2A_c, with a peak amplitude of 2A_c.
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