Question

A rectangular metallic loop of length I and width b is placed coplanarly with a long wire carrying a current i (figure 38-E29). The loop is moved perpendicular to the wire with a speed v in the plane containing the wire and the loop. Calculate the emf induced in the loop when the rear end of the loop is at a distance a from the wire. Solve by using Faraday's law for the flux through the loop and also by replacing different segments with equivalent batteries.

Answer 1

(a) Using Faraday’' law

Consider a unit length dx at a distance x

The velocity of AB and CD creates the emf. since the emf due to AD and BC are equal and opposite to each other.