The space x > 0 (x < 0) is occupied by a medium with magnetic permeability μ₁ (μ₂). A line current I points out of the paper in medium 1 at a distance a from the interface with medium 2.

(a) Use the matching conditions for the vector potential A and the magnetic auxiliary field H to find the image currents needed to find the magnetic field at every point in space.
(b) Find the force per unit length exerted on I by the x < 0 half-space.

Transcribed Image Text:

X I D- 'n ni K