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Electricity and Magnetism

Faraday’s Law of Electro-Magnetic Induction

The induced emf is directly proportional to the rate of change of magnetic flux linking the conductor.

Both the laws of e.m.i. can be combined into a single mathematical statement.

and, if the conductor is a coil having N turns, we have:

This is often known as Neumann’s Law.

In the case of a straight conductor moving at 90° to a uniform field, we found

If the conductor moves a distance DELTA01s in time DELTA01t, then the speed, v, is given by v = DELTA01s/DELTA01t.

Therefore, the induced emf is given by

So, in this case, the two statements are equivalent.

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