Capacitance between Two Points in an Infinite Grid

2009/05/01 by Jihad Asad, R. S. Hijjawi, Asad, J. H. +5
Computer Science · #FOS: Physical sciences #General Physics (physics.gen-ph) #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.0905.0054

openalex publication_date 2009/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 explotting the symmetry of the grid. The mathematical problem presented in this work involves the solution of an infinite set of linear, inhomogenous difference equations which are solved by the method of separation of variables.

Citations

• Ueber die Auflösung der Gleichungen, auf welche man bei der Untersuchung der linearen Vertheilung galvanischer Ströme geführt wird

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