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A carrier is simultaneously modulated by two sine waves with modulation indices of 0.4 and 0.3. The resultant modulation index will be
- a)1.0
- b)0.7
- c)0.5
- d)0.35
Correct answer is 'C'. Can you explain this answer?
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Verified Answer
A carrier is simultaneously modulated by two sine waves with modulatio...
Given: m1 = 0.4, m2 = 0.3
Resultant modulation index = α^2 = 0.3^2 + 0.4^2 = 0.5^2 or
α = 0.5.
Most Upvoted Answer
A carrier is simultaneously modulated by two sine waves with modulatio...
Explanation:
To find the resultant modulation index, we need to consider the modulation indices of the two sine waves and determine the combined effect.
Modulation Index:
The modulation index is a measure of the extent of modulation imposed on a carrier wave by a modulating signal. It is defined as the ratio of the peak amplitude of the modulating signal to the peak amplitude of the carrier wave.
Given:
Modulation index of first sine wave = 0.4
Modulation index of second sine wave = 0.3
To calculate the resultant modulation index, we need to consider the worst-case scenario, which is when the two sine waves are in phase and add up constructively.
Addition of Modulation Indices:
When two sine waves of the same frequency and phase are added, the resultant amplitude is the sum of the individual amplitudes. In this case, the modulation indices will also add up.
Resultant modulation index = Modulation index of first sine wave + Modulation index of second sine wave
= 0.4 + 0.3
= 0.7
Conclusion:
Therefore, the resultant modulation index when a carrier is simultaneously modulated by two sine waves with modulation indices of 0.4 and 0.3 will be 0.7.
To find the resultant modulation index, we need to consider the modulation indices of the two sine waves and determine the combined effect.
Modulation Index:
The modulation index is a measure of the extent of modulation imposed on a carrier wave by a modulating signal. It is defined as the ratio of the peak amplitude of the modulating signal to the peak amplitude of the carrier wave.
Given:
Modulation index of first sine wave = 0.4
Modulation index of second sine wave = 0.3
To calculate the resultant modulation index, we need to consider the worst-case scenario, which is when the two sine waves are in phase and add up constructively.
Addition of Modulation Indices:
When two sine waves of the same frequency and phase are added, the resultant amplitude is the sum of the individual amplitudes. In this case, the modulation indices will also add up.
Resultant modulation index = Modulation index of first sine wave + Modulation index of second sine wave
= 0.4 + 0.3
= 0.7
Conclusion:
Therefore, the resultant modulation index when a carrier is simultaneously modulated by two sine waves with modulation indices of 0.4 and 0.3 will be 0.7.
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A carrier is simultaneously modulated by two sine waves with modulation indices of 0.4 and 0.3. The resultant modulation index will bea)1.0b)0.7c)0.5d)0.35Correct answer is 'C'. Can you explain this answer?
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