Infinite Networks of Identical Capacitors
J. H. Asad, R. S. Hijjawi, A. J. Sakaji, and J. M. Khalifeh
TL;DR
This paper investigates the capacitance distribution in infinite lattice networks of identical capacitors, extending the analysis from two-dimensional square lattices to three-dimensional simple cubic lattices using superposition and symmetry principles.
Contribution
It introduces a generalized method for calculating capacitance in infinite capacitor networks across different lattice geometries.
Findings
Capacitance values depend on lattice geometry and position.
The method effectively extends to three-dimensional lattices.
Provides analytical insights into infinite capacitor network behavior.
Abstract
The capacitance between the origin and any other lattice site in an infinite square lattice of identical capacitors is studied. The method is generalized to infinite Simple Cubic (SC) lattice. We make use of the superposition principle and the symmetry of the infinite grid
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