A modulating signal is a square wave, as shown in the figure. If the carrier wave is given as $\mathrm{c}(\mathrm{t})=2 \sin (8 \pi \mathrm{t})$ volts, the modulation index is :

JEE Main · 2023 · 24 Jan 2023 · Shift 1 · Semiconductors

A modulating signal is a square wave, as shown in the figure.

If the carrier wave is given as

c (t) = 2 sin (8 π t)

volts, the modulation index is :

Answer: (D)

The square modulating wave swings between

+ 1 V

and

- 1 V

, so its amplitude is

1 V

, while the carrier

c (t) = 2 sin (8 π t)

has amplitude

2 V

. The modulation index is the ratio of the modulating amplitude to the carrier amplitude, which is

\frac{1}{2}

JEE Main · 2023 · 24 Jan 2023 · Shift 1 · Single correct option