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Question

The antenna current of an AM transmitter is 8A when only the carrier is sent, but it increases to 8·96A when the carrier is modulated by a single sine wave. Find the percentage modulation.


A

60·1%

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B

71%

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C

80·1%

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D

50·1%

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Solution

The correct option is B

71%


Step1: Given data

Antenna current of an AM transmitterIc=8A

And the increased current on modulating It=8·96A

Step 2: Formula used

We know that the modulation index is computed using the formula, m=2ItIc2-1

Step3: Compute modulation percentage

Substitute the known values in the formula m=2ItIc2-1,

m=28·9682-1m=280·2816-6464m=2×0·2544m=0·713m71%

So, the percentage modulation is 71%.

Hence, option B is the correct answer.


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