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An analysis of the electrical capacitance between two conducting spheres

  • Many modern composites consist of dielectric polymer matrices containing embedded spherical particles. These particles can be electrically conducting and often have magnetic properties. In order to accurately model and simulate such materials, precise calculation of the electrical capacitance between identically sized spheres is required. This is of particular relevance at microscopic dimensions where many smart material-based micro devices are concerned. This may appear trivial for a small number of particles. However, many methods or their analysis appear to be questionable or not applicable at reduced dimensions. In this work, the various methods of analysis are scrutinized before being compared with both simulation and direct measurements. It is surprising to note that of the many works investigated only 3 are in close agreement with both simulation and measurement. Graphical abstract This paper deals with the precise calculation of the electrical capacitance between two conducting spheres of equal, or near equal size.The calculations have been verified by both experimental measurements and simulation. Algorithms in MatLab (Octave) format have been included in the supporting information.

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Metadaten
Author:A. Lang, Gareth J. MonkmanORCiDGND
DOI:https://doi.org/10.1016/j.elstat.2020.103518
Parent Title (English):Journal of Electrostatics
Publisher:Elsevier
Document Type:Article
Language:English
Year of first Publication:2020
Release Date:2022/01/17
Tag:Calculation; Capacitance between spheres; Simulation Experiment
Volume:108
Article Number:103518
Institutes:Fakultät Elektro- und Informationstechnik
Fakultät Elektro- und Informationstechnik / Mechatronics Research Unit (MRU)
Begutachtungsstatus:peer-reviewed
research focus:Energie und Mobilität
Licence (German):Keine Lizenz - Es gilt das deutsche Urheberrecht: § 53 UrhG