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The Electrostatic Energy of a Two-Dimensional System

Published online by Cambridge University Press:  21 January 2009

LL. G. Chambers
LL. G. Chambers
Affiliation:
University College of North Wales, Bangor
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The use of the complex variable z( = x + iy) and the complex potential W(= U + iV) for two-dimensional electrostatic systems is well known and the actual system in the (x, y) plane has an image system in the (U, V) plane. It does not seem to have been noticed previously that the electrostatic energy per unit length of the actual system is simply related to the area of the image domain in the (U, V) plane.

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 42 , November 1959 , pp. 1 - 2
Copyright
Copyright © Edinburgh Mathematical Society 1959

References

REFERENCES

Smythe, W. R., Static and Dynamic Electricity, p. 31.Google Scholar
loc. cit., p. 75.Google Scholar
Phillips, E. G., Functions of a Complex Variable, p. 39.Google Scholar