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.