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Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectromagnetic Induction

An LR circuit containing a battery is switched on at t = 0 . Just after the connection is made, which of the following quantities is non-zero?

Options

  1. AMagnetic field energy in the inductor
  2. BPower delivered by the battery
  3. CCurrent in the circuit
  4. DInduced emf in the inductor

Correct answer

D. Induced emf in the inductor

Step-by-step solution

At t = 0 , the current in the LR circuit is zero ( i = 0 ). Magnetic field energy in the inductor is U = 1 2 Li^2 = 0 . Power delivered by the battery is P = Ei = 0 . Current in the circuit is i = 0 . Applying Kirchhoff's voltage law, E - iR - L di dt = 0 . At t = 0 , since i = 0 , we get L di dt = E . The induced emf in the inductor is L di dt , which is equal to the battery's emf E and is non-zero.

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