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The antenna current of an AM transmitter is 10 A when it is modulated to depth of 30% by an audio signal. It increases to 11 A when another signal modulates the carrier signal. The modulation index due to second signal is
  • a)
    62%
  • b)
    66%
  • c)
    67%
  • d)
    64%
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The antenna current of an AM transmitter is 10 A when it is modulated ...
Given,

We know that, the overall modulation index is:

or, 
Now, 
or, 

After modulating with the second signal, we have


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Most Upvoted Answer
The antenna current of an AM transmitter is 10 A when it is modulated ...
Explanation:

Given, antenna current during first modulation, I1 = 10 A

Modulation depth during first modulation, m1 = 30%

Antenna current during second modulation, I2 = 11 A

Let's assume the modulation index during the second modulation as m2.

Now we know that the modulation index is directly proportional to the antenna current.

So, we can write,

m1 / I1 = m2 / I2

Substituting the values, we get

0.3 / 10 = m2 / 11

Solving for m2, we get

m2 = 0.33 or 33%

But, we need to find the modulation index due to the second signal only.

So, we need to subtract the modulation depth due to the first signal from the total modulation depth.

Hence,

Modulation depth due to second signal = m2 - m1 = 33% - 30% = 3%

Finally,

Modulation index due to second signal = (modulation depth due to second signal) / 100

= 3 / 100

= 0.03 or 3%

Therefore, the correct option is (b) 66%.
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Community Answer
The antenna current of an AM transmitter is 10 A when it is modulated ...
The RMS value of the antenna current befor modulation is 20 Amperes and afte modulation is 10 Amps. Determine the modulation index assuming no distortion.
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