Issue Eur. Phys. J. Appl. Phys. Volume 32, Number 3, December 2005 Page(s) 149 - 154 Section Semiconductors and Related Materials DOI 10.1051/epjap:2005075 Published online 06 December 2005

Eur. Phys. J. Appl. Phys. 32, 149-154 (2005)
DOI: 10.1051/epjap:2005075

Capacitance between two points on an infinite grid

J.H. Asad¹, R.S. Hijjawi², A. Sakaji³ and J.M. Khalifeh<sup>1

1</sup>  Dep. of Physics, University of Jordan, 11942 Amman, Jordan
²  Dep. of Physics, Mutah University, Jordan
³  Dep. of Basic Sciences, Ajman University, UAE

jkalifa@ju.edu.jo

(Received: 27 March 2005 / Received in final form: 13 July 2005 / Accepted: 18 July 2005 / Published online: 6 December 2005 )

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.

PACS
05.50.+q - Lattice theory and statistics (Ising, Potts, etc.).
61.50.Ah - Theory of crystal structure, crystal symmetry; calculations and modeling.
84.37.+q - Electric variable measurements (including voltage, current, resistance, capacitance, inductance, impedance, and admittance, etc.).

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