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%
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