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A metal rod of mass m can rotate about ...

A metal rod of mass `m` can rotate about a horizontal axis `O`, sliding along a circular conductor of radius `a` (fig). The arrangment is located in a unifrom magnetic field of induction `B` directed perpendicular to the ring plane. The axis and the ring are connected to an emf source to form a circuit of resistance `R`. Neglecting the friction, circuit induction and ring resistance, find the law according to which the source and must very to make the rod rotate with a constant angular velocity `omega`.

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