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Question

An amplitude modulated wave is represented by the equation Vm=5(1+0.6cos6280t)sin(211×104t) V. The minimum and maximum amplitudes of the amplitude modulated wave are, respectively :

A
32 V,5 V
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B
2 V,8 V
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C
5 V,8 V
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D
3 V,5 V
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Solution

The correct option is B 2 V,8 VThe general expression of an amplitude modulated wave is given by, Vm=Ac(1+μcosωmt)sinωct The maximum amplitude is given by, Amax=Ac(1+μ) The minimum amplitude is given by, Amin=Ac(1−μ) From the given expression, Vm=5(1+0.6cos6280t)sin(211×104t) Modulation index, μ=0.6 Ac=5 V ⇒Amax=5(1+0.6)=8 V ⇒Amin=5(1−0.6)=2 V Hence, option (B) is correct.

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