1. Christopher Crawford PHY 417 2015-02-13
§6.4 Magnetic Media
Christopher Crawford
PHY 417

2. Outline Magnetic Materials B = μ0 (H+M) = μ0 (1+χm)H = μ0μr H = μH
vs. electric: D = ε0 E + P = ε0 (1+χe )E = ε0εr E = εE
Constitutive relation and Magnetic susceptibility
Linear & nonlinear magnetic materials
Maxwell equations and Boundary conditions
Boundary value problem #1
Sphere of constant magnetization M
use magnetic pole density σM
Boundary value problem #2
use bound current density Kb
Boundary value problem #3
Permeable sphere in a constant background field H0
Use permeability μ

3. Geometry of fields
Polarization chains vs. magnetization meshs

4. Static Macroscopic Maxwell Equations
Electric Magnetic
Constitutive equations
Susceptibilities: permittivity and permeability

5. Magnetic media

6. Magnetic media

7. Boundary Conditions Electric Magnetic
Two redundant sources – Three redundant sources!

8. Boundary value problem #1

9. Boundary value problem #2

10. Boundary value problem #3