Bounds for the Electrical Resistance for Non-homogeneous Two-dimensional Conducting Body

Author:

Ecsedi István1,Baksa Attila1

Affiliation:

1. Institute of Applied Mechanics University of Miskolc H-3515 Miskolc-Egyetemváros, Miskolc HUNGARY

Abstract

A mathematical model is developed to determine the steady-state current flow through in non-homogeneous isotropic conductor whose shape is a two-dimensional hollow domain. The corresponding electric boundary value problem is formulated using Maxwell's theory of electricity. The determination of the two-dimensional motion of charges is based on the concept of the electrical conductance. The Cauchy-Schwarz inequality is used to get the lower and upper bounds for the electrical conductance. The derived upper and lower bound formulae are illustrated by numerical examples.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

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