A conducting rod rotates with angular speed ''w'' with one end at the centre and other end at circumference of a circular metallic ring of Radius ''R'' , about an axis passing through the centre of the coil perpendicular to the plane of the coil. A constant magnetic field "B" parallel to the axis is present everywhere. Show that the emf between the centre and the metallic ring is 1/2BwR².
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The induced emf
where dA/dt = Rate of change of area of loop formed by the sector OPQ. Let q be the angle between the rod and the radius of the circle at P at time t.
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