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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?
Verified Answer
A carrier is simultaneously modulated by two sine waves with modulatio...
Α^2 = 0.3^2 + 0.4^2 = 0.5^2 or α = 0.5.
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Most Upvoted Answer
A carrier is simultaneously modulated by two sine waves with modulatio...
Modulation Index:

Modulation index is defined as the ratio of the amplitude of the modulating signal to that of the carrier signal.

Formula:

Modulation index (m) = Amplitude of modulating signal / Amplitude of carrier signal

Given:

Modulation index of 1st sine wave (m1) = 0.4

Modulation index of 2nd sine wave (m2) = 0.3

Calculation:

The resultant modulation index can be calculated using the formula:

Resultant Modulation index (m) = √(m1^2 + m2^2)

= √(0.4^2 + 0.3^2)

= √(0.16 + 0.09)

= √0.25

= 0.5

Therefore, the resultant modulation index will be 0.5.

Answer:

Option (C) 0.5 is the correct answer.
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Community Answer
A carrier is simultaneously modulated by two sine waves with modulatio...
M1=0.4,m2=0.3 mt=0.5
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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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