Question

A long straight wire carrying a current I and a II-shaped conductor with sliding connector are located in the same plane as shown in Fig. 3.81. The connector of length l and resistance R slides to the right with a constant velocity v. Find the current induced the loop as a function of separation r between the connector and the straight wire. The resistance of the II-shaped conductor and the self-inductance of the loop are assumed to be negligible.

Answer 1

Field, due to the current carrying wire in the region, right to it, is directed into the plane of the paper and its magnitude is given by, 

 where r is the perpendicular distance from the wire.

 As B is same along the length of the rod thus motional e.m.f.

and it is directed in the sense of 

So, current (induced) in the loop,