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COMEDK202510 May 2025Evening ShiftPhysicsAlternating CurrentActual

What should be the value of the inductance of the coil which is to be connected to 220 V , 50 Hz supply so that maximum current of 3 2 A flows through the circuit?

Options

  1. AL= ( 15 11 ) H
  2. BL= ( 22 15 ) H
  3. CL= ( 22 15 2 ) H
  4. DL= ( 11 15 ) H

Correct answer

D. L= ( 11 15 ) H

Step-by-step solution

Given the supply voltage V_ rms = 220 V and frequency f = 50 Hz. The peak current I₀ = 3 2 A. The root mean square current I_ rms is given by I_ rms = I₀ 2 = 3 2 2 = 3 A. The inductive reactance X_L is given by X_L = V_ rms I_ rms = 220 3 . The formula for inductive reactance is X_L = 2 f L . Substituting the values: 220 3 = 2 (50) L . 220 3 = 100 L . L = 220 300 = 22 30 = 11 15 H. Answer: L= ( 11 15 ) H

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