Question:

A magnetic field of $2\times 10^{-2}$T acts at right angles to a coil of area 100 $cm^2$, with 50 turns. The average e.m.f. induced in the coil is 0.1 V, when it is removed from the field in t sec. The value of t is

Updated On: Jul 19, 2024
  • 10 s
  • 0.1 s
  • 0.01 s
  • 1 s
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The Correct Option is B

Solution and Explanation

$\in=\frac{-(\phi_2-\phi_1)}{t}=\frac{-(0-NBA)}{t}=\frac{NBA}{t}$
$t=\frac{NBA}{\in}=\frac{50\times2\times10^{-2}\times10^{-2}}{0.1}=0.1 \, s$
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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