Modern Physics 7 Question 10

10. A signal Acosωt is transmitted using v0sinω0t as carrier wave. The correct amplitude modulated (AM) signal is

(Main 2019, 9 April I)

(a) (v0sinω0t+Acosωt

(b) (v0+A)cosωtsinω0t

(c) v0sin[ω0(1+0.01Asinωt)t]

(d) v0sinω0t+A2sin(ω0ω)t+A2sin(ω0+ω)t

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Solution:

  1. Given, modulating signal,

Am=Acosωt

Carrier wave, Ac=v0sinω0t

In amplitude modulation, modulated wave is given by

Ym=[A0+Am]sinω0t

where, A0 is amplitude of the carrier wave (given as v0 )

Ym=[v0+Acosωt]sinω0t=v0sinω0t+Asinω0tcosωt=v0sinω0t+A2[sin(ω0+ω)t+sin(ω0ω)t]=v0sinω0t+A2sin(ω0ω)t+A2sin(ω0+ω)t



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