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Capacitance between two points on an infinite grid

Published online by Cambridge University Press:  06 December 2005

J. H. Asad ,
R. S. Hijjawi ,
A. Sakaji  and
J. M. Khalifeh
J. H. Asad
Affiliation:
Dep. of Physics, University of Jordan, 11942 Amman, Jordan
R. S. Hijjawi
Affiliation:
Dep. of Physics, Mutah University, Jordan
A. Sakaji
Affiliation:
Dep. of Basic Sciences, Ajman University, UAE
J. M. Khalifeh*
Affiliation:
Dep. of Physics, University of Jordan, 11942 Amman, Jordan
*
jkalifa@ju.edu.jo
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Abstract

The capacitance between two adjacent nodes on an infinite square grid of identical capacitors can easily be found by superposition, and the solution is found by exploiting the symmetry of the grid. The mathematical problem presented in this work involves the solution of an infinite set of linear, inhomogeneous difference equations which are solved by the method of separation of variables.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 32 , Issue 3 , December 2005 , pp. 149 - 154
Copyright
© EDP Sciences, 2005

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