Question

A rod of length l is kept parallel to a long wire carrying constant current. It is moving away from the wire with a velocity v. Find the emf induced in the wire when its distance from the long wire is x.

Answer 1

Let $I$=constant current flowing in wire.

The magnetic Field due to the wire at a point P(as shown in fig.)

$x$ is the distance from wire.

$B_p$=$\frac{{\mu }_{0}I}{2\pi x}$ into the plane

emf induced in Rod is $\epsilon$ given as,

$\epsilon =VBPl=\frac{{\mu }_{0}VI}{2\pi x}$