Question:

A rectangular, a square, a circular and an elliptical loop, all in the $( x - y )$ plane, are moving out of a uniform magnetic field with a constant velocity, $\overrightarrow{ V }= v \cdot \hat{ i }$. The magnetic field is directed along the negative z-axis direction. The induced emf, during the passage of these loops, come out of the field region, will not remain constant for:

Updated On: Apr 29, 2024
  • the circular and the elliptical loops
  • only the elliptical loop
  • any of the four loops
  • the rectangular, circular and elliptical loops
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The Correct Option is A

Solution and Explanation

Out of the four structures, when the circular and elliptical loops come out from the field, equal are is not traced in equal interval of time. So any induced in both is not constant.
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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