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Q.

The antenna current of AM transmitter is 8 A when only carrier is sent but increases to 8.96 A when the carrier is modulated sinusoidal. The percentage modulation is

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a

60 %

b

65 %

c

50%

d

71 %

answer is D.

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Detailed Solution

$∵ (\frac{I_{t}}{I_{c}}) = \sqrt{1 + \frac{m^{2}}{2}} \Rightarrow (\frac{8.96}{8}) = \sqrt{1 + \frac{m^{2}}{2}} \Rightarrow 1.254 = 1 + \frac{m^{2}}{2} \Rightarrow \frac{m^{2}}{2} = 0.254 \Rightarrow m^{2} = 0.508 \Rightarrow m = 0.71 \Rightarrow m % = 71 %$

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