An AF signal, 25sin2000πt is used to amplitude modulate a carrier of 50sin200000πt. The modulation index isa.2b.0.5c.0.25d.0.05
Question
An AF signal, 25sin(2000πt) is used to amplitude modulate a carrier of 50sin(200000πt). The modulation index is
a. 0.2
b. 0.5
c. 0.25
d. 0.05
Solution
The modulation index (m) in an amplitude modulation (AM) system is defined as the ratio of the peak amplitude of the modulating signal to the peak amplitude of the carrier signal.
Given:
- The modulating signal is 25sin(2000πt)
- The carrier signal is 50sin(200000πt)
The peak amplitude of the modulating signal (Am) is 25 The peak amplitude of the carrier signal (Ac) is 50
So, the modulation index (m) = Am / Ac = 25 / 50 = 0.5
Therefore, the modulation index is 0.5, which corresponds to option b.
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