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Electricity and Magnetism
Law of Electro-Magnetic Induction
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 s in time t, then the speed, v, is given by v = s/t.
Therefore, the induced emf is given by
So, in this case, the two statements are equivalent.