Charged Toroidal Shells
Toroidal surfaces provide an interesting canonical class of conductors that
illustrate methods for determining potential distributions and the sur-
rounding electrostatic elds when they are charged. The eld surrounding a
closed torus and its associated capacitance has previously been calculated
[36, 26]. However, our interest is in the eect of slots or apertures that
might be opened in the surface. If some degree of symmetry is retained,
substantive progress with analytic and semi-analytic methods can be made.