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A sinusoidal carrier has amplitude of 10v and a frequency of 100 kHz. It is amplitude modulated by a sinusoidal voltage of amplitude 3v and frequency 500Hz.Modulated voltage is developed across 75ohm

i. Write the equation for modulated wave

ii. Determine the modulation index

iii. Draw spectrum of modulated wave

iv. Calculate the total average power

v. Calculate the power carried by sidebands

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Given : $E_C$= 10V , $f_C = 100 kHz , E_m= 3V , f_m=500 Hz ,R = 75Ω$

  • Modulation index:

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Equation of modulated wave:

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  • Spectrum of AM wave:

    Various spectral components are as follows:

  1. Carrier: $f_C$=100 kHz

  2. USB :$( f_C+ f_m)$=100.05 kHz

  3. LSB: ( $f_C- f_m$)=99.95 kHz

Amplitude of these spectral components are as follows:

  1. Carrier: $E_C$= 10V

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