Title: Resistance of thin disks and rings
Authors: Szymanik, Barbara
Gratkowski, Stanisław
Citation: ISTET 2013: International Symposiumon Theoretical Electrical Engineering: 24th – 26th June 2013: Pilsen, Czech Republic, p. I-51-I-52.
Issue Date: 2013
Publisher: University of West Bohemia
Document type: konferenční příspěvek
URI: http://hdl.handle.net/11025/11539
ISBN: 978-80-261-0246-5
Keywords: odpor;tenké disky;tenké prstence;matematické modelování
Keywords in different language: resistance;thin disks;thin rings;mathematical modelling
Abstract: In this paper the following, classic problem [1] is taken into consideration: calculate the resistance between two, perfectly conducting contacts on the rim of a thin disk (t << a, where a indicates disk’s radius and t is its thickness) of conductivity σ. An example of a simple, approximate solution to above problem can be found in [2], however, it requires contacts to be sufficiently small (i.e. d >> δ, where δ is the contacts’ size and d indicates the distance between them). Our purpose was to find more general solution, valid for contacts of finite size. Moreover, we propose the extension of above problem to thin rings. The exact analytical method of solving the Laplace equation to find the scalar potential was used. Afterwards, the Ohm law to obtain the formulas for disks and rings resistance was utilized. Using the dilogarithm function we obtained simplified, approximate formulas for the disks and rings resistance.
Rights: © University of West Bohemia
Appears in Collections:ISTET 2013
ISTET 2013
ISTET 2013

Files in This Item:
File Description SizeFormat 
Szymanik.pdfPlný text362 kBAdobe PDFView/Open

Please use this identifier to cite or link to this item: http://hdl.handle.net/11025/11539

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.