In the arrangement shown in the figure, the wire AB slides on the fixed rails at a constant velocity. If the wire AB is substituted with a semicircular wire, the magnitude of the induced current will

Step-by-step solution

The motional emf induced in a conductor moving in a uniform magnetic field is given by E = Bvl_ eff , where l_ eff is the effective length of the conductor. The effective length is the straight-line distance between the endpoints of the conductor. When the straight wire AB is replaced by a semicircular wire connecting the same points A and B , the effective length remains unchanged. Thus, the induced emf E remains the same. Since the external resistance is constant and the wires are assumed to be ideal, the total r