A signal Acosωt is transmitted using v0sinω0t as carrier wave. The correct amplitude modulated (AM) signal is
A
v0sin[ω0(1+0.1Asinωt)t]
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B
v0sinω0t+Acosωt
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C
v0sinω0t+ A2[sin(ω0−ω)t+sin(ω0+ω)t]
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D
(v0+A)cosωtsinω0t
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Solution
The correct option is Cv0sinω0t+ A2[sin(ω0−ω)t+sin(ω0+ω)t] Given signal =Acosωt
The equation of amplitude modulated wave m=(v0+Acosωt)sinω0t m=v0sinω0t+Acosωtsinω0t=v0sinω0t+A2[sin(ω0−ω)t+sin(ω0+ω)t] [∵2sinAcosB=sin(A+B)+sin(A−B)]