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In addition to the revision notes for Induced Electric Fields on this page, you can also access the following Magnetism learning resources for Induced Electric Fields
| Tutorial ID | Title | Tutorial | Video Tutorial | Revision Notes | Revision Questions | |
|---|---|---|---|---|---|---|
| 16.11 | Induced Electric Fields |
In these revision notes for Induced Electric Fields, we cover the following key points:
If we increase uniformly the strength of the external magnetic field applied in a circular ring, the magnetic flux through the ring will increase at a steady rate and as a result, a current (and emf) is induced in the ring based on the Faraday's Law. We can determine the direction of these two induced quantities (both of them are anticlockwise here) considering the Lentz Law.
To determine the direction of the induced current, you must consider only the direction of the induced magnetic field inside the ring when applying the curled right hand rule.
The induced electric field is similar to that produced by static charges. Both fields will exert an electric force F = Q0 ∙ E on a positive test charge Q0.
Another version of the Faraday's Law based on the above findings is:
"A changing magnetic field in a coil induces an electric field in it."
In this way, we write the mutual implication
Hence, we say: An induced electric field is produced every time the magnetic flux (caused by a change in the magnetic field) is changing by time.
The work done by the electric field E on the test charge Q0 to make it move in a circular path as the one shown above is
where εi is the emf induced in the circular loop.
If we want to calculate the work done by the electric field to make the test charge complete one revolution only, is
The induced emf in the test charge therefore is
In the general case, we use the integration method to calculate the work done on the coil by the electric field. Thus,
The integral expression for the emf induced in the loop is
The integral version of Faraday's Law in terms of the induced electric field and the magnetic flux is
Since the electric field produced by dynamic charges is uniform, it is meaningless to talk about electric potential (and potential difference) caused by moving charges.
Therefore, the main difference between electric fields produced by static and dynamic charges is as follows:
"Electric potential has meaning only for static charges, not for dynamic ones."
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