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Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectromagnetic Induction

When connected across an ideal battery of emf 4.0 V , an inductor-coil carries a steady-state current of 2.0 A . Determine the time constant of the circuit if its inductance is 1.0 H .

Options

  1. A0.25 s
  2. B2.0 s
  3. C0.5 s
  4. D8.0 s

Correct answer

C. 0.5 s

Step-by-step solution

In steady state, the inductor acts as a short circuit and the current is limited only by the resistance of the coil. The resistance of the coil is given by: R = E I₀ Substituting the given values: R = 4.0 2.0 = 2.0 The time constant of an L-R circuit is given by: = L R Substituting the values of L and R : = 1.0 2.0 = 0.5 s

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