Abstract

It is shown that a variety of electrostatic problems involving toroidal condensers are solvable approximately by means of a certain type of transformation of Laplace's equation and perturbation theory. After a critique of previous theory of the toroidal condenser with concentric-circular section, this problem is resolved, followed by the problem of the elliptic-toroidal condenser. On the basis of these solutions, other problems are solved approximately by a double-perturbation approach; namely, the problem of a circular torus containing a laminar ring, and that of the circular-toroidal condenser for which the circular sections are eccentric.

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