chapter  5
30 Pages

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.