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

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DOI: 10.4236/jemaa.2014.67015    1,876 Downloads   2,403 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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

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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