Abstract

Approximate “dipole” equations are derived for the interaction of two uncharged dielectric spheres immersed in a uniform electric field. Each sphere is treated as a point polarizable particle in a locally uniform field whose strength is that which would be present at the sphere's center if the sphere were removed. The response of each sphere is a dipole moment. In this way each sphere sees the uniform external field and the dipole field of the other sphere. These interactive dipole moments and forces are calculated for the two orientations of the spheres relative to the external field. Data are presented which show the range of validity of the results: the exclusion of all higher order multipoles is acceptable only as long as the spheres are separated by at least one radius.

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