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Induced Electric Field - Practice Questions & MCQ

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

Syllabus

Quick Facts

Induced Electric field is considered one the most difficult concept.
26 Questions around this concept.

Solve by difficulty

EASY

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=I_o cos (ωt). The emf induced in the smaller inner loop is nearly :

$\frac{\pi \mu _0I_0}{2}*\frac{a^2}{b}\omega sin\omega t$

$\frac{\pi \mu _0I_0}{2}*\frac{a^2}{b}\omega cos\omega t$

$\pi \mu _0I_0*\frac{a^2}{b}\omega sin\omega t$

$\pi \mu _0I_0*\frac{b^2}{a}\omega cos\omega t$

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A uniform but time-varying magnetic field B(t) exists in a circular region of radius a and is directed into the plane of the paper, as shown. The magnitude of the induced electric field at point P at a distance r from the centre of the circular region is

is zero

proportional to r

proportional to 1/ r

proportional to 1/r²

View Solution

Concepts Covered - 1

Induced Electric field

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

$
\text { as } \varepsilon=\oint \overrightarrow{E_{i n}} \cdot \overrightarrow{d l} .
$

And this $E_{i n}$ is given as

$
\varepsilon=\oint \overrightarrow{E_{i n}} \cdot \overrightarrow{d l}=\frac{-d \phi}{d t}
$

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.