to be positive for counter clockwise direction A metal bar AB can slide on two parallel thick metallic rails separated by a

Question

to be positive for counter clockwise direction A metal bar AB can slide on two parallel thick metallic rails separated by a distance A resistance R and an inductance L are connected to the rails as shown in the figure A long straight wire carrying a constant current l is placed in the plane of the rails and perpendicular to them as shown The bar AB is held at rest at a distance x from the long wire At f 0 it is made to slide on the rails away from the wire Answer the following questions a Find a relation among i di dt where i is the current in the circuit and is the flux of the magnetic field due to the long wire through the circuit b It is observed that at time t T the metal bar AB is at a distance of 2x from the long wire and the resistance R carries a current i Obtain an expression for the net charge that has flown through resistance R from t 0 to f T c The bar is suddenly stopped at time T The current through resistance R is found to be time 27 Find the value of L R in terms of the other given quantities 4 2002 and do dt www this purpose 2003 at

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