Question:

A small square loop of wire of side $l$ is placed inside a large square loop of wire $L ( L >>l)$ Both loops are coplanar and their centers coincide at point $O$ as shown in figure The mutual inductance of the system is :

Updated On: Sep 27, 2024
  • $\frac{2 \sqrt{2} \mu_0 L ^2}{\pi \ell}$
  • $\frac{\mu_0 \ell^2}{2 \sqrt{2} \pi L }$
  • $\frac{2 \sqrt{2} \mu_0 \ell^2}{\pi L }$
  • $\frac{\mu_0 L^2}{2 \sqrt{2} \pi \ell}$
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is C

Solution and Explanation

The correct option is (C)
Was this answer helpful?
2
0

Top Questions on Electromagnetic induction

View More Questions

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