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The limiting values of modulation index (μ) of an AM wave is​
  • a)
    0 and 1
  • b)
    1 and 10
  • c)
    10 to 100
  • d)
    None of the above
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The limiting values of modulation index (μ) of an AM wave is̴...
For maximum value modulation index can be greater than 1 or it can take any value depending on the amount of carrier present in the overall modulated signal. Maximum value of modulation index in 1. Above 1 over modulation occurs which cause distortion of signal. Minimum value is 0.
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The limiting values of modulation index (μ) of an AM wave is̴...
Limiting Values of Modulation Index in AM Wave

Introduction:
The modulation index (m) in amplitude modulation (AM) refers to the ratio of the peak amplitude of the modulating signal to the peak amplitude of the carrier signal. It determines the extent of variation in the amplitude of the carrier wave due to the modulation process. The limiting values of modulation index specify the range within which the modulation index can vary.

Explanation:
The limiting values of modulation index in an AM wave are given as option 'A', which states that the modulation index can vary between 0 and 1. Let's understand why this is the correct answer.

1. Modulation Index Value of 0:
When the modulation index is 0, it means that the amplitude of the modulating signal is zero or negligible. In this case, there is no variation in the amplitude of the carrier wave. The resulting AM wave is essentially the unmodulated carrier wave.

2. Modulation Index Value of 1:
When the modulation index is 1, it means that the peak amplitude of the modulating signal is equal to the peak amplitude of the carrier signal. This results in the modulation depth of 100%, where the carrier wave is completely modulated by the modulating signal. The AM wave in this case exhibits the highest level of modulation.

3. Limitations Beyond Modulation Index of 1:
As the modulation index exceeds 1, the modulation depth increases, causing the peaks of the AM wave to exceed the maximum and minimum values allowed by the system. This leads to distortion and clipping of the waveform. The excessive modulation index can result in the loss of information and poor quality of the modulated signal.

4. Limitations Below Modulation Index of 0:
When the modulation index is negative, it introduces phase reversal in the modulated signal. This results in the inversion of the original signal, leading to poor signal quality and difficulties in demodulation.

Conclusion:
In summary, the limiting values of modulation index in an AM wave are 0 and 1. These values ensure that the amplitude of the carrier wave is modulated within acceptable limits, allowing for optimal transmission and reception of the modulated signal.
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