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# Induced Electric Field - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

## Quick Facts

• Induced Electric field is considered one the most difficult concept.

• 19 Questions around this concept.

## Solve by difficulty

A small circular loop of wire of radius a is located at the center of a much larger circular wire loop of radius b.  The two loops are in the same plane. The outer loop of radius b carries an alternating current I=Io cos (ωt).  The emf induced in the smaller inner loop is nearly :

## Concepts Covered - 1

Induced Electric field

Whenever a magnetic field is varying with time, an induced electric field  $E_{in}$ is produced in any closed path, whether in the matter
or in empty space. This Induced electric field is directly proportional to induced emf as $\varepsilon = \oint \vec{E_{in} }\cdot \vec{dl}$.

And this $E_{in}$  is given as

$\varepsilon = \oint \vec{E_{in} }\cdot \vec{dl}= \frac{-d\phi }{dt}$

This is known as an integral form of Faraday’s laws of EMI.

Properties of Induced electric field-

• The induced electric field is different from the electrostatic field. As it is non-conservative and non-electrostatic in nature.
• Its field lines are concentric circular closed curves.
• This field is not created by source charges.
• Its direction is along the tangent to its field lines.

## Study it with Videos

Induced Electric field

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