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Q.

If an AM transmitter shows an antenna current of 8 A when only carrier is transmitted and 9 A when current is modulated using sine wave. Then, the modulation index is

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a

65.8 %

b

72.9 %

c

40.2 %

d

0

answer is B.

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Detailed Solution

it=9A and ic=8A Modulation index Ma  is given by,  We know,  Pt = Pc 1+m22 ⇒Pt Pc = 1+m22 ⇒m=2PtPc−1 ⇒m=2ltotlcarrier2−1∵P=i2Rt⇒P∝i2 ⇒m=2982−1 ⇒ m = 0.531 = 0.729 ∴In percentage , 72.9%
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If an AM transmitter shows an antenna current of 8 A when only carrier is transmitted and 9 A when current is modulated using sine wave. Then, the modulation index is