When the percentage Modulation is 75, an AM transmitter produces 10 kW Power. The percentage power saving if carrier and one of the side band is suppressed is
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a
50 %
b
89 %
c
35 %
d
100 %
answer is B.
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Detailed Solution
Given : % of modulation = 75 % ∴ m = 0.75 and Transmitter power : Pt= 10 KW Use, Pc = Pt1+m22 = 101.28=7.8 kW We know that, Pt = Pc + PLSB +PUSB ⇒10 = 7.8 +2 PLSB ∵ PLSB =PUSB ⇒PLSB = 1.1 kW If we suppress Pc and PLSB , then new Pt' = PUSB = 1.1 kW So, saving in transmitted power = 10 - 1.1 = 8.9 kW ∴Percentage saving = 8.910×100 = 89% II method %=Pc1+m24Pc(1+m22)×100=4+m24(2+m22)×100= 2+0.5625×100=89%