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Induced Electric field is considered one the most difficult concept.
13 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 :
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 as $\varepsilon=\oint \overrightarrow{E_{i n}} \cdot \overrightarrow{d l}$. And this $E_{\text {in }}$ 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.
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