Answer :

It can be observed from the given modulating signal that the amplitude of the modulating signal, Am = 1 V

It is given that the carrier wave c (t) = 2sin(8πt) volts

Amplitude of the carrier wave, Ac = 2 V

Time period of the modulating signal Tm = 1 s

The angular frequency of the modulating signal is calculated as:

(t)m = 2π/Tm

= 2π rad s-1 (as Tm = 1)……………….(i)

The angular frequency of the carrier signal is calculated as:

(t)m = 8π rad s-1 ……….(ii)

From equations (i) and (ii), we get:

(t)m = 4(t)c

The amplitude modulated waveform of the modulating signal is shown in the following figure.

(ii) Modulation index,

m = Am/Ac = 1/2 = 0.5

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