A dielectric body with permittivity in is embedded in an infinite volume of dielectric matter with

A dielectric body with permittivity ε_in is embedded in an infinite volume of dielectric matter with permittivity ε_out. The entire system is polarized by an external electric field E_ext. If ϕ is the exact electrostatic potential and S is the surface of the embedded body, show that the dipole moment of the system can be written in the form

Transcribed Image Text:

[₁ S P (Eout Ein) dSnø (rs). ³ñ¢(r.