### Diagnostics: Electromagnetostatics in Matter
d.emsm

Fundamentals: After properly studying this module, you should be able to:

- state what the polarization of an object is
- give the relationship between polarization and surface/volume bound charges
- explain the concept of free charge
- state the definition of the electric displacement
- state Gauss's law relating displacement and free charge density (in both differential and integral form)
- explain what a linear dielectric is
- explain what the electric susceptibility, permittivity and dielectric constant of a material are

Applications: As a strict minimum, you should be able to:

- using Gauss's law, derive the displacement for all basic geometries (sphere, plate capacitor, wire with dielectric cladding)
- derive boundary conditions for the displacement
- calculate the change in capacitance of a parallel plate capacitor filled with dielectric (as compared to one filled with vacuum)
- derive boundary conditions for fields or potentials at the interface between two dielectrics

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Author: Jean-Sébastien Caux

Created: 2022-03-24 Thu 08:42