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The charge density near a sharp point on a conductor

Published online by Cambridge University Press:  24 October 2008

R. Cade
R. Cade
Affiliation:
University College of the West IndiesJamaica
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Abstract

A brief discussion is given of attempts that have been made to justify, in terms of electrostatic principles, the conjecture that surface charge on a conductor tends to infinity towards a convex sharp point and to zero towards a concave point, and it is concluded that the problem has not hitherto been solved. A new attempt is then made using potential-theoretic methods, and the problem is solved with a fair degree of generality. The limitations are of a kind familiar in this type of analysis and, roughly speaking, concern the degree of convexity of the conducting surface.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 4 , October 1957 , pp. 870 - 877
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

REFERENCES

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