A unifrom current of density `f` flows inside an infinite plate of thickness `2d` parallel to its surface . Find the magentic induction induced by this current as a funcition of the distance `x` from the median palane of the plate. The magnitude permeability is assumed to be equal to unity both inside and outside the plates.

Explanation

We assume that the current flows perpndicular to the plane of the paper, by circulation theorem,
`2B dl = mu_(0) (2 x dl) j`
or, `B = mu_(0) x j, |x| le d`
Outsie, `2 B dl = mu_(0) (2d dl) j`
or, `B = mu_(0) d j |x| ge d`.