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Lecture 30. Motional emf is a special case of Faraday’s Law. General form of Faraday’s Law:. The path is the Faradian loop. Check: Moving rod along two || railing setup gives: which can be derived based on Faraday’s Law. From motional emf:.

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Lecture 30

Motional emf is a special case of Faraday’s Law

General form of Faraday’s Law:

The path is the Faradian loop.


Check: Moving rod along two || railing setup gives:

which can be derived based on Faraday’s Law

From motional emf:


We see (2) and (2’) agree with (3) and (3’). Our motional emf is a spherical case of Faraday’s law.

One can show in the case of current loop from both consideration one finds:


What is E motional emf is a spherical case of Faraday’s law.in at P when I = const.?


What if the loop is shrinking down too? motional emf is a spherical case of Faraday’s law.

shrinking down to 0


Example Problem: motional emf is a spherical case of Faraday’s law.

Determinethe direction of the magnetic field in the coil with the battery attached.

Determine the direction of the magnetic field in the coil with the resistor attached

Determine The direction of the induced current in the resistor

Hint:


Example Problem: motional emf is a spherical case of Faraday’s law.

If I1 is decreasing, find direction of emfind in the loop

Choices

1 – CW

2 - CCW


Example Problem motional emf is a spherical case of Faraday’s law.

Determine the direction of the force on the segment AB as B is decreasing.

Hint: The force on ab is given by:

First determine the direction of Bin(should it be into or out)

The correct response is to keep flux within the loop constant


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