WSEAS Transactions on Circuits and Systems
Print ISSN: 1109-2734, E-ISSN: 2224-266X
Volume 22, 2023
Bounding Formulae for the Capacitance of a Cylindrical Two-dimensional Capacitor with Cartesian Orthotropic Dielectric Material
Authors: ,
Abstract: This paper addresses the evaluation of a two-dimensional cylindrical capacitor featuring homogeneous
Cartesian anisotropic dielectric material. The development of a bounding formula forms the crux of the investigation
and is grounded in the principles of the Cauchy-Schwarz inequality, a mathematical concept widely acknowledged
for establishing relationships between different mathematical entities. In the course of this study,
a dual-sided bound is systematically derived for the circular cylindrical two-dimensional capacitor through the
application of well-established inequality relations. These bounds play a pivotal role in setting limits on the capacitance
of the system, providing valuable insights into its electrical behavior.
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Keywords: capacitance, orthotropic, hollow circular domain, upper and lower bounds, analytical solution
Pages: 135-140
DOI: 10.37394/23201.2023.22.15