Question

The y=0 plane is at the interface between two magnetic materials with the same permeability. Call the medium in y>0 medium 1, with H1=11A/mz just at the boundary. There is also a surface current flowing along the interface: Js=8A/mx. Find H₂, the H-field in medium 2(y<0) next to the interface.

Answer 1

The H-field in medium 2 (y<0) next to the interface is -11A/mz.

Step-by-step explanation:

In this scenario, the y=0 plane acts as the boundary between two magnetic materials with the same permeability. We are given that in medium 1 (y>0), the H-field is H1=11A/mz just at the boundary. Additionally, there is a surface current flowing along the interface, represented by Js=8A/mx.

To find the H-field in medium 2 (y<0) next to the interface, we can use the boundary conditions for magnetic fields. At the interface, the tangential components of the H-fields in both mediums must be equal. Since the interface lies in the y=0 plane, the H-field in medium 2 (H2) will have the same magnitude as H1, but its direction will reverse. Therefore, H₂ = -11A/mz.