Question:

As a result of change in the magnetic flux linked to the closed loop shown in figure, an emf, $V$ volt is induced in the loop. The work done (in joule) in taking a charge $q$ coulomb once along the loop is

Updated On: Jul 6, 2022
  • $qV$
  • zero
  • $2qV$
  • $\frac{qV}{2}$
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The Correct Option is A

Solution and Explanation

Work done in taking a charge $= Q$
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Concepts Used:

Electromagnetic Induction

Electromagnetic Induction is a current produced by the voltage production due to a changing magnetic field. This happens in one of the two conditions:-

  1. When we place the conductor in a changing magnetic field.
  2. When the conductor constantly moves in a stationary field.

Formula:

The electromagnetic induction is mathematically represented as:-

e=N × d∅.dt

Where

  • e = induced voltage
  • N = number of turns in the coil
  • Φ = Magnetic flux (This is the amount of magnetic field present on the surface)
  • t = time

Applications of Electromagnetic Induction

  1. Electromagnetic induction in AC generator
  2. Electrical Transformers
  3. Magnetic Flow Meter