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JEE Main20236 Apr 2023Evening ShiftPhysicsCommunication SystemActual

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:

Options

  1. A5   V
  2. B15   V
  3. C12   V
  4. D10   V

Correct answer

C. 12   V

Step-by-step solution

Modulatio index is the ratio of the difference in amplitudes to the sum of the amplitudes. The formula to calculate the modulation index of a wave is given by μ = A max - A min A max + A min       . . . 1 Substitute the values of the known parameters into equation (1) and solve to calculate the required value of maximum amplitude. 0 . 6 = A max - 3 A max + 3 ⇒ 0 . 6 A max + 1 . 8 = A max - 3 ⇒ 0 . 4 A max = 4 . 8 ⇒ A max =   4 . 8 0 . 4 = 12   V

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