chapter  3
48 Pages

Electrostatic Potential Theory for Open Spherical Shells

Spherical geometry provides the simplest and most attractive setting for

three-dimensional potential theory. The electrostatic potential surrounding

a closed conducting sphere on which the surface potential is specied is eas-

ily calculated in terms of spherical harmonics; it has an especially simple

form if the surface is an equipotential surface. When apertures are intro-

duced, some of this simplicity is retained provided the surface is punctured

in a rotationally symmetric fashion.