JEE Main · 2023 · 10 Apr 2023 · Shift 1 · Semiconductors

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A carrier wave of amplitude 15 V is modulated by a sinusoidal base band signal of amplitude 3 V. The ratio of maximum amplitude to minimum amplitude in an amplitude modulated wave is:

(A)2
(B) $\frac{3}{2}$ ✓ Correct
(C)5
(D)1

Answer: (B)

Solution

The envelope of an amplitude-modulated wave swings between

A_{m a x} = A_{c} + A_{m} = 15 + 3 = 18

V and

A_{m i n} = A_{c} - A_{m} = 15 - 3 = 12

V. Their ratio is

\frac{A _{m a x}}{A _{m i n}} = \frac{18}{12} = \frac{3}{2}

JEE Main · 2023 · 10 Apr 2023 · Shift 1 · Single correct option

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