Question:

A coil of 1200 turns and mean area of $500\,cm^2$ is held perpendicular to a uniform magnetic field of induction $4\times 10^{-4}T$.The resistance of the coil is 20 ohms. When the coil is rotated through 180$^\circ$ in the magnetic field in 0.1 seconds the average electric current (in mA) induced is :

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

Solution and Explanation

$E = \frac{2NBA}{t} , i = \frac{E}{R}$
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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