Question

Write the boundary conditions that exist at the interface of free space and a magnetic material of infinite (an approximation) permeability.

Answer 1

The two boundary conditions at the interface of free space and a magnetic material of infinite permeability are that the tangential component of the magnetic field is continuous across the interface, and the normal component of the magnetic flux density satisfies the equation Bn = µBt.

Step-by-step explanation:

At the interface of free space and a magnetic material of infinite permeability, there are two boundary conditions:

1. The tangential component of the magnetic field, Bt, is continuous across the interface.
2. The normal component of the magnetic flux density, Bn, satisfies the equation Bn = µBt, where µ is the permeability of the magnetic material.

For example, if free space (permeability = µ0) is adjacent to a magnetic material with infinite permeability (µ = ∞), the normal component of the magnetic field will be zero at the interface, since Bn = ∞×Bt = ∞.

Answer 2

The boundary conditions at the interface of free space and a magnetic material of infinite permeability require the tangential component of the magnetic field to be continuous and the normal component to be proportional to the magnetic permeability of free space.

Step-by-step explanation:

The boundary conditions at the interface of free space and a magnetic material of infinite permeability are as follows:

• The tangential component of the magnetic field must be continuous across the interface.
• The normal component of the magnetic field on the side of the magnetic material must be equal to the permeability of free space times the normal component of the magnetic field on the side of free space.

These conditions ensure that the magnetic field remains continuous at the interface and takes into account the different permeabilities of the two materials.