4D Integration and Evaluation of Electrostatic Force between Two Charged Parallel Plates

DOI: 10.4236/jemaa.2014.67015   PDF   HTML     2,243 Downloads   2,759 Views  

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.

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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.

  
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