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COMEDK2023Evening ShiftPhysicsAlternating CurrentActual

What should be the inductance of an inductor connected to 200 ~V , 50 ~Hz source so that the maximum current of 2 A flows through it?

Options

  1. A2 H
  2. B2 H
  3. C2 H
  4. D2 H

Correct answer

D. 2 H

Step-by-step solution

The root mean square voltage is given as V_ rms = 200 V . The maximum current is given as I_ max = 2 A . The root mean square current is I_ rms = I_ max 2 = 2 2 = 1 A . The inductive reactance X_L is given by X_L = V_ rms I_ rms = 200 1 = 200 . The formula for inductive reactance is X_L = L = 2 f L , where f = 50 Hz . Substituting the values: 200 = 2 50 L . 200 = 100 L . L = 200 100 = 2 H . Answer: 2 H

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