MAGNETIC FIELDS IN MATTER — Edward Purcell & David Morin
Physics — E&M · continuity-displacement-slab
Problem
Use the definition of D, namely D≡ϵ0E+P, to show that D is continuous across the faces of a uniformly polarized slab. Assume that the polarization is perpendicular to the faces, and that the thickness of the slab is small compared with the other two dimensions.