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Electrstatic force on an ‘almost sinusoidal’ surface due to a line charge

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Abstract

The electrostatic force on an ‘almost sinusoidal’ surface due to a line charge situated symmetrically above a crest is calculated. This force is then compared to the force on a perfectly smooth sheet.

Résumé

Nous obtenons la force électrostatique sur la surface sinusoidale quand une ligne de charge est située au-dessus d'une crête. La comparison de cette force avec la force sur le plan lisse est effectuée.

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References

  1. P. Lorrain andD. Corson,Electromagnetic Fields and Waves, Freeman, San Francisco 1970.

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  2. I. F. Gradshteyn andI. M. Ryzhik,Tables of Integrals, Series and Products, Academic Press, London/New York 1965.

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Authors and Affiliations

  1. New University of Ulster, Coleraine, Londonderry, N. Ireland

    John S. Berry

Authors
  1. John S. Berry
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Berry, J.S. Electrstatic force on an ‘almost sinusoidal’ surface due to a line charge. Journal of Applied Mathematics and Physics (ZAMP) 27, 403–406 (1976). https://doi.org/10.1007/BF01590513

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  • DOI: https://doi.org/10.1007/BF01590513

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