A copper rod of length l rotates an angular velocity omega in a uniform magnetic field B as show in figure . What is the induced emf across its ends ?

A copper rod of length l rotates an angular velocity omega in a unifor

1.	A copper rod of length l rotates an angular velocity omega in a uniform magnetic field B as show in figure . What is the induced emf across its ends ?
Answer» Solution :The ROD is supposed to be the combination of a number of infinitesimal ELEMENTS . SPEED of each element is different Consider an element at a DISTANCE `l` from O. Speed of this element is `OMEGAL` and is perpendicular to its length . `implies epsilon = int vBdl,` As v = `omega l , epsilon= omegaB int_(0)^(L) ldl = (1)/(2) omegaB L^(2)` .O. turns out to be .+. and P the .-. ve terminal.

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A copper rod of length l rotates an angular velocity omega in a uniform magnetic field B as show in figure . What is the induced emf across its ends ?

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