Abstract
Consider n point charges, each with charge 1/n, in electrostatic equilibrium on the surface S of a conducting sphere. It is shown that as n tends to infinity, the distribution of the total charge 1 on S tends to the uniform distribution on S. Though this is an entirely deterministic result, the proof is probabilistic in nature.
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© 1994 Springer-Verlag New York, Inc.
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van Zwet, W.R. (1994). The Asymptotic Distribution of Point Charges on a Conducting Sphere. In: Gupta, S.S., Berger, J.O. (eds) Statistical Decision Theory and Related Topics V. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2618-5_32
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DOI: https://doi.org/10.1007/978-1-4612-2618-5_32
Publisher Name: Springer, New York, NY
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