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Wave Optics

Question
CBSEENPH12038875

For an amplitude modulated wave, the maximum amplitude is found to be 10 V while the minimum amplitude is found to be 2 V. Determine the modulation index, μ.
What would be the value of μ if the minimum amplitude is zero volt?

Solution

The AM wave is given by (Ac + Am sin ωmt) cos ωct where, 
Ac is the amplitude of carrier wave and, 
Am is the amplitude of message signal wave.

The maximum amplitude is M1 = Ac + Am = 10 V
while,
Minimum amplitude is M
2 = Ac - Am = 2 V

Hence, the modulation index is, 

                     μ = AmAc    = M1-M2M1+M2    = 812    = 23. 

When the minimum aplitude is M2 = 0. Then, we have clearly μ = 1, irrespective of M1.