A metallic rod of length 'L' is rotated with angular frequency of 'ω' with one end hinged at the centre and the other end at the circumference of a circular metallic ring of radius R, about an axis passing through the centre and perpendicular to the plane of the ring. A constant and uniform magnetic field B parallel to the axis is present every where. Deduce the expression for the emf between the centre and the metallic ring.
The magnitude of the emf, generated across a length dr of the rod, as it moves at right angles to the magnetic field, given by
