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Find the given values using the following information:

A sinusoidal carrier has amplitude of 20v and a frequency of 200KHZ. It is amplitude modulated by a sinusoidal voltage of amplitude 6v and frequency 1KHZ.Modulated voltage is developed across 80Ω resistance:

i. Write the equation for modulated wave

ii. Determine the modulation index

iii. Draw the spectrum of modulated wave

iv. Calculate the total average power

1 Answer
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Given: EC= 20V ,fC= 200kHz , Em= 6V , fm=1 kHz ,R = 50Ω

  • Modulation index:

m= Em/Ec = 6/20 = 0.3

  • Equation of modulated wave:

eAM = EC(1+m cosωmt) cos2π fC t =20[1+0.3 cos(2 π *1000t)]

cos (2π 200103)

eAM = 20[1+0.3 cos 2000 πt]cos(2π200103)……….ANS

  • Spectrum …

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