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(1999) J. D. Jackson, Am. J. Phys. 67, 107 A Curious and Useful Theorem in Two-Dimensional Electrostatics by Lau Sarmiento is a document available to read on EtoBox.

In 1956 metrologists Thompson and Lampard established a new theorem in two-dimensional electrostatics that gives calculable capacitances for practical systems possessing a certain symmetry. The theorem is well known among those concerned with electrical standards, but not so well known beyond. This paper brings the theorem to a wider audience with a pedagogical discussion of it, first by treating a simple example by standard methods of electrostatics, then proving the Riemann mapping theorem on which t

Author
Lau Sarmiento
Language
EN