The current generation Ig, shown in figure, sends a constant current i through the circuit. The wire cd is fixed and ab is made to slide on the smooth, thick rails with a constant velocity v towards right. Each of these wires has resistance r. Find the current through the wire cd.
Given:
Initial current passing through the circuit = i
Velocity with which the wire ab moves = v
Resistance of each wire = r
Formula used:
Induced emf due to moving of wire ab … (i), where B = magnetic field, l = length of sliding wire, v = velocity
Initial emf in the wire E0 = ir, where i = current, r = resistance of wire ab.
Hence, net emf … (ii)
Now, net resistance = 2r
Hence, current passing through the wire cd = (Ans)