TITLE:
4D Integration and Evaluation of Electrostatic Force between Two Charged Parallel Plates
AUTHORS:
Haiduke Sarafian
KEYWORDS:
4D Integration, Force between Plates, Mathematica
JOURNAL NAME:
Journal of Electromagnetic Analysis and Applications,
Vol.6 No.7,
June
25,
2014
ABSTRACT: Evaluation
of electrostatic force between two arbitrary shaped charged objects encounters
a six-fold integration. Analytic evaluation of the integral is not conducive
and its numeric evaluation is CPU intensive. For two planar objects, the
required integration reduces to a four-fold integration; however, it suffers
the same two symptoms. In this article, utilizing a discrete method, we
evaluate the much needed integration in a fraction of a second. For a special
case, we show the output of our approach agrees with its analytic equivalent
formulation.