JEE Main · 2023 · 06 Apr 2023 · Shift 2 · Semiconductors

For an amplitude modulated wave the minimum amplitude is 3 V, while the modulation index is

60%

. The maximum amplitude of the modulated wave is:

Answer: (B)

Solution

The modulation index is

μ = \frac{A _{m a x} - A _{m i n}}{A _{m a x} + A _{m i n}}

. With

μ = 0.6

and

A_{m i n} = 3

0.6 (A_{m a x} + 3) = A_{m a x} - 3

, so

0.4 A_{m a x} = 4.8

and

A_{m a x} = 12

. The maximum amplitude of the modulated wave is

12

JEE Main · 2023 · 06 Apr 2023 · Shift 2 · Single correct option