Question:

An electron moves on a straight line path $XY$ as shown. The abcd is a coil adjacent to the path of electron. What will be the direction of current, if any, induced in the coil?

Updated On: Apr 29, 2024
  • The current will reverse its direction as the electron goes past the coil
  • No current induced
  • abcd
  • adcb
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The Correct Option is A

Solution and Explanation

When the electron moves from X to X, the flux linked with the coil abed (which is into the page) will first increase and then decrease as the electron passes by. So the induced current in the coil will be first anticlockwise and will reverse its direction (z.e. will become clockwise) as the electron goes past the coil.
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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