4D Integration and Evaluation of Electrostatic Force between Two Charged Parallel Plates ()
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.
Share and Cite:
Sarafian, H. (2014) 4D Integration and Evaluation of Electrostatic Force between Two Charged Parallel Plates.
Journal of Electromagnetic Analysis and Applications,
6, 156-162. doi:
10.4236/jemaa.2014.67015.
Conflicts of Interest
The authors declare no conflicts of interest.
References
|
[1]
|
Jackson, J.D. (1998) Classical Electrodynamics. 3rd Edition, Wiley, New York.
|
|
[2]
|
Wolfram, S. (2012) Mathematica, V9.0, a Computational Software Program to Do Scientific Computation. Wolfram Research.
|
|
[3]
|
Giordano, N.J. and Nakanishi, H. (2006) Computational Physics. 2nd Edition, Prentice Hall, Upper Saddle River.
|