An infinitely long, thin conducting sheet of width w along the x-direction lies in the x-y...

An infinitely long, thin conducting sheet of width w along the x-direction lies in the x-y plane and carries a current I in the –y-direction. Determine the following:

(a) The magnetic field at a point P midway between the edges of the sheet and at a height h above it (Fig.).

(b) The force per unit length exerted on an infinitely long wire passing through point P and parallel to the sheet if the current through the wire is equal in magnitude but opposite in direction to that carried by the sheet.

Figure : A linear current source above a current sheet.