Question:

A circular disc of radius 0.2 meter is placed in a uniform magnetic field of induction $\frac{1}{\pi}\big(\frac{Wb}{m^2}\big)$ in such a way that its axis makes an angle of 60$^{\circ}$ with $\overrightarrow{B}$ . The magnetic flux linked with the disc is

Updated On: Jul 29, 2024
  • 0.08 Wb
  • 0.01 Wb
  • 0.02 Wb
  • 0.06 Wb
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The Correct Option is C

Solution and Explanation

$\overrightarrow{B}=\frac{1}{\pi}\big(\frac{Wb}{m^2}\big)$
Area of the disc normal to B is p$R^2$cos60$^{\circ}$.
Flux = B x Area normal
$\therefore \, Flux=\frac{1}{2}\times0.04=0.02 \, Wb$
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Top Questions on Electromagnetic induction

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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