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Infinite Simple Cubic Network of Identical Capacitor: Analysis of Perfect and Perturbed Cases

International Journal of Electrical and Electronics Engineering
© 2025 by SSRG - IJEEE Journal
Volume 12 Issue 6
Year of Publication : 2025
Authors : Ataa Hikmat Almallak, Rabab Jarrar, Jihad Asad
10.14445/23488379/IJEEE-V12I6P101
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How to Cite?

Ataa Hikmat Almallak, Rabab Jarrar, Jihad Asad, "Infinite Simple Cubic Network of Identical Capacitor: Analysis of Perfect and Perturbed Cases," SSRG International Journal of Electrical and Electronics Engineering, vol. 12,  no. 6, pp. 1-13, 2025. Crossref, https://doi.org/10.14445/23488379/IJEEE-V12I6P101

Abstract:

Using the Lattice Green Function (LGF), the effective capacitance of an infinite SC network (made of identical capacitors) between the origin site and another site inside the network was computed in this study. Two situations were considered: the disturbed case of the infinite network, whereby one capacitance was eliminated between two sites, and the ideal instance of an infinite SC network. This study derives the general formula linking the capacitance of an endless network using the Lattice Green Function (LGF) for both circumstances (ideal and disturbed). Based on the (LGF) at the origin, the capacitance of the infinite SC network is stated in relative terms.

Keywords:

Lattice Green Function, Infinite network, Capacitors, Perfect case, Perturbed case.

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