JEE Main · 2023 · 30 Jan 2023 · Shift 1 · Semiconductors

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A sinusoidal carrier voltage is amplitude modulated. The resultant amplitude modulated wave has maximum and minimum amplitude of 120 V and 80 V respectively. The amplitude of each sideband is :

(A)15 V
(B)10 V✓ Correct
(C)20 V
(D)5 V

Answer: (B)

Solution

The modulated envelope gives

A_{c} + A_{m} = 120 V

and

A_{c} - A_{m} = 80 V

, so the carrier amplitude is

A_{c} = 100 V

and

A_{m} = 20 V

, making the modulation index

μ = \frac{A _{m}}{A _{c}} = 0.2

. Each sideband has amplitude

\frac{μ A _{c}}{2} = \frac{0.2 \times 100}{2} = 10 V

JEE Main · 2023 · 30 Jan 2023 · Shift 1 · Single correct option

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