Campos eléctricos generados por elipsoides uniformemente polarizados

Abstract

The electric fields $\vec {E}(\vec {r})$, inside and outside uniformly polarised ellipsoidal electrets, dielectrics and conductors, is given in terms of elliptic integrals. The derivation, valid for homogeneous isotropic and anisotropic materials, makes no recourse to differential equations. The full expression of the $\vec {E}(\vec {r})$ induced for spherical bodies embedded in uniform aplied constant electric fields, either dielectrics or conductors, is explicity given.