Abstract
The two-conductor strip line is a classic transmission line structure which has been extensively studied and used in endless applications for decades. Unfortunately, the exact determination of the 3-D capacitance of this basic case is analytically intractable. It will be shown that accurate values of the total 3-D capacitance of a parallel plate capacitor with thin plates of any length, width, and separation can be determined from the superposition of the exact 2-D capacitance obtained from an analytic solution using elliptic integrals in a very simple manner. The accuracy is determined for a range of cases through a comparison of the analytic values with those obtained from a 3-D numerical calculation, using a workstation with very large memory and processing capability. For most cases, the accuracy of the capacitance obtained by this superposition method falls nearly within the bounds of the numerical accuracy of the 3-D model and the elliptical integral evaluations. This superposition method is far more accurate than expected. © 2011-2012 IEEE.
Recommended Citation
R. E. Matick and A. E. Ruehli, "Accurate 3-D Capacitance of Parallel Plates from 2-D Analytical Superposition," IEEE Transactions on Components, Packaging and Manufacturing Technology, vol. 3, no. 2, pp. 299 - 305, article no. 6409268, Institute of Electrical and Electronics Engineers; Electronics Packaging Society, Jan 2013.
The definitive version is available at https://doi.org/10.1109/TCPMT.2012.2223817
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
2-D superposition; 3-D capacitance from elliptic integrals; accurate 3-D strip line capacitance; universal capacitance curve
International Standard Serial Number (ISSN)
2156-3950
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Institute of Electrical and Electronics Engineers; Electronics Packaging Society, All rights reserved.
Publication Date
14 Jan 2013
