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When modulation index of an AM wave is increased from 0.5 to 1, the transmitted power
- a)remains the same
- b)increases by 25%
- c)increases by 33.3%
- d)increases by 50%
Correct answer is option 'C'. Can you explain this answer?
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When modulation index of an AM wave is increased from 0.5 to 1, the tr...
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Explanation:
When the modulation index of an AM wave is increased from 0.5 to 1, it means that the amplitude of the modulating signal is increased by a factor of 2. This will result in a change in the transmitted power of the AM wave.
Power of AM wave
The power of an AM wave is given by the following equation:
P = (A + mAsinωmt)2 /2RL
where A is the unmodulated carrier amplitude, m is the modulation index, ωm is the angular frequency of the modulating signal, and RL is the load resistance.
Effect of modulation index on power
When the modulation index is increased from 0.5 to 1, the power of the AM wave will increase by a factor of:
(1 + m1)/(1 + m2)2
Substituting the values, we get:
(1 + 0.5)/(1 + 1)2 = 1.33
Therefore, the power of the AM wave will increase by 33.3%, which is option C.
Conclusion:
When the modulation index of an AM wave is increased from 0.5 to 1, the transmitted power increases by 33.3%. This is because the modulation index directly affects the amplitude of the modulating signal, which in turn affects the power of the AM wave.
When the modulation index of an AM wave is increased from 0.5 to 1, it means that the amplitude of the modulating signal is increased by a factor of 2. This will result in a change in the transmitted power of the AM wave.
Power of AM wave
The power of an AM wave is given by the following equation:
P = (A + mAsinωmt)2 /2RL
where A is the unmodulated carrier amplitude, m is the modulation index, ωm is the angular frequency of the modulating signal, and RL is the load resistance.
Effect of modulation index on power
When the modulation index is increased from 0.5 to 1, the power of the AM wave will increase by a factor of:
(1 + m1)/(1 + m2)2
Substituting the values, we get:
(1 + 0.5)/(1 + 1)2 = 1.33
Therefore, the power of the AM wave will increase by 33.3%, which is option C.
Conclusion:
When the modulation index of an AM wave is increased from 0.5 to 1, the transmitted power increases by 33.3%. This is because the modulation index directly affects the amplitude of the modulating signal, which in turn affects the power of the AM wave.
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When modulation index of an AM wave is increased from 0.5 to 1, the transmitted powera)remains the sameb)increases by 25%c)increases by 33.3%d)increases by 50%Correct answer is option 'C'. Can you explain this answer?
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