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 :

$\frac{2 \sqrt{2} \mu_0 \ell^2}{\pi L }$

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 :}

$\frac{2 \sqrt{2} \mu_0 \ell^2}{\pi L }$

$\frac{2 \sqrt{2} \mu_0 L ^2}{\pi \ell}$

$\frac{\mu_0 \ell^2}{2 \sqrt{2} \pi L }$

$\frac{2 \sqrt{2} \mu_0 \ell^2}{\pi L }$

$\frac{\mu_0 L^2}{2 \sqrt{2} \pi \ell}$

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 centres coincide at point $O$ as shown in figure The mutual inductance of the system is :

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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:-

When we place the conductor in a changing magnetic field.
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

Electromagnetic induction in AC generator
Electrical Transformers
Magnetic Flow Meter

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 :

The Correct Option is C

Solution and Explanation

Top Questions on Electromagnetic induction

Questions Asked in JEE Main exam

Concepts Used:

Electromagnetic Induction

Formula:

Applications of Electromagnetic Induction