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Infinite regular electrical networks

Published online by Cambridge University Press:  11 January 2006

E. J. WATSON
E. J. WATSON
Affiliation:
Department of Mathematics, University of Manchester, Manchester, UK
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Abstract

An infinite regular two-dimensional network is composed of unit resistances joining adjacent nodes. What is the resistance of the whole network measured between two different nodes? Three cases are considered, in which the meshes of the network are square, hexagonal or triangular. Some extensions of the problem are also treated. Asymptotic approximations are given for large distances.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 16 , Issue 5 , October 2005 , pp. 555 - 567
Copyright
2005 Cambridge University Press

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