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## Main Question or Discussion Point

In my physicsbook they show that the induced voltage in a metal rod is e=lvB, and after that show that that can be written as [tex]e=-\frac{d\phi}{dt}[/tex]

But how do you prove that this actually apply to any rod or circuit, not just to a metal rod moving through a uniform B-field?

But how do you prove that this actually apply to any rod or circuit, not just to a metal rod moving through a uniform B-field?