Question:

A magnet is made to oscillate with a particular frequency, passing through a coil as shown in figure. The time variation of the magnitude of e.m.f. generated across the coil during one cycle is

Updated On: Jul 5, 2022
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The Correct Option is A

Solution and Explanation

When north pole of magnet approaches the one face of coil, then the force of the coil becomes a north pole to oppose this motion and current flows anticlockwise. Thus, in this case emf is developed in the coil and when it completes one half motion it is momentarily at rest and no emf is present. Now south pole approaches the other face of coil making this face a south pole. The current now flows in clockwise direction and again an emf is developed in the coil. This variation is shown in figure (a).
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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