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Precise formulation of electrical capacitance for a cylindrical capacitive sensor

Azimi, P ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.3923/jas.2009.1556.1561
  3. Publisher: 2009
  4. Abstract:
  5. In this study a more precise formulation of electrical capacitance for a cylindrical capacitive sensor is reported. By using different theoretical models such as Coulomb law, Gauss law and Laplace equation the electrical capacitance is calculated. Based on the given models the relation between the capacitance and the geometrical parameters (e.g., cylindrical length) is formulated and by using suitable software capacitance variation is computed and compared for different methods. In Coulomb method, the electrical potential is first solved numerically by using Mathematica and then the electrical capacitance is computed. It is found that the active capacitor length is crucial parameter in the calculations and therefore variation of this parameter is considered in our calculations. It is noted that the capacitance value is very sensitive to the length according to the method and it is deviated sharply for small length (about 20 cm) from the Gauss approximation. By comparing obtained results one recognizes that there is a pronounced error difference using approximated laws in short capacitor length range while for long length a negligible difference is noted between the tested models. © 2009 Asian Network for Scientific Information
  6. Keywords:
  7. Capacitance variation ; Coulomb law ; Crucial parameters ; Electrical capacitance ; Electrical potential ; Gauss approximation ; Gauss law ; Potential ; Capacitive sensors ; Capacitors ; Gaussian distribution ; Integrodifferential equations ; Laplace equation ; Capacitance
  8. Source: Journal of Applied Sciences ; Volume 9, Issue 8 , 2009 , Pages 1556-1561 ; 18125654 (ISSN)
  9. URL: https://scialert.net/abstract/?doi=jas.2009.1556.1561