chapter  6
12 Pages

Potential Theory for Conical Structures with Edges

Conical structures are distinctively dierent from the spheroidal and tor-

oidal structures considered in previous chapters. Electrostatic elds induced

by a point source in the vicinity of the conical tip possess singularities

unique to this class. On the other hand, the open or hollow conical frus-

trum produced by removal of the tip region exhibits an interesting range

of geometries, from the at, annular disc to the hollow, circular cylinder.

In this chapter, we treat a selection of potential problems that are most

distinctive of conically-shaped thin conductors with edges. The selection is

not exhaustive, but is intended to indicate the class of conical structures

that might be successfully analysed by this approach.