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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 option 'C'. Can you explain this answer?
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Most Upvoted Answer
A carrier is simultaneously modulated by two sine waves with modulatio...
To determine the resultant modulation index when a carrier is simultaneously modulated by two sine waves with modulation indices of 0.4 and 0.3, we can use the formula for calculating the modulation index of the combined signals.
The formula is as follows:
Resultant Modulation Index = sqrt((Modulation Index 1)2 + (Modulation Index 2)2)
Let's substitute the given modulation indices into the formula:
Resultant Modulation Index = √((0.4)2 + (0.3)2)
= √(0.16 + 0.09)
= √(0.25)
= 0.5
= √(0.16 + 0.09)
= √(0.25)
= 0.5
Therefore, the resultant modulation index is 0.5.
The correct answer is C: 0.5.
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A carrier is simultaneously modulated by two sine waves with modulatio...
Calculation of Resultant Modulation Index
In amplitude modulation, the modulation index (m) is defined as the ratio of the peak amplitude of the modulating signal to the peak amplitude of the carrier signal. When a carrier is simultaneously modulated by two sine waves, the resultant modulation index can be calculated by taking the square root of the sum of squares of the individual modulation indices.
Given Modulation Indices
- Modulation index of first sine wave = 0.4
- Modulation index of second sine wave = 0.3
Calculation
- Resultant modulation index = sqrt(0.4^2 + 0.3^2) = sqrt(0.16 + 0.09) = sqrt(0.25) = 0.5
Therefore, the resultant modulation index when a carrier is simultaneously modulated by two sine waves with modulation indices of 0.4 and 0.3 is 0.5. Hence, option 'C' is the correct answer.
In amplitude modulation, the modulation index (m) is defined as the ratio of the peak amplitude of the modulating signal to the peak amplitude of the carrier signal. When a carrier is simultaneously modulated by two sine waves, the resultant modulation index can be calculated by taking the square root of the sum of squares of the individual modulation indices.
Given Modulation Indices
- Modulation index of first sine wave = 0.4
- Modulation index of second sine wave = 0.3
Calculation
- Resultant modulation index = sqrt(0.4^2 + 0.3^2) = sqrt(0.16 + 0.09) = sqrt(0.25) = 0.5
Therefore, the resultant modulation index when a carrier is simultaneously modulated by two sine waves with modulation indices of 0.4 and 0.3 is 0.5. Hence, option 'C' is the correct answer.
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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 option 'C'. Can you explain this answer?
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