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