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Potential of several arbitrarily located disks

Published online by Cambridge University Press:  17 February 2009

V. I. Fabrikant
Affiliation:
Department of Mechanical Engineering, Concordia University, Montreal, H3G 1M8, Canada
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Abstract

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The electrostatic field of a set of arbitrarily located circular disks is considered. A set of governing integral equations is derived by a new method. It is shown that some integral characteristics can be found without solving the integral equations. The upper and lower bounds for the total charge are found from a set of linear algebraic equations whose coefficients are defined by simple geometric characteristics of the system. Examples considered show sufficient sharpness of the estimations.

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Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1988