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Potentials as Solutions of Laplace’s Equation; Electrostatics

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Foundations of Potential Theory

Part of the book series: Die Grundlehren der Mathematischen Wissenschaften ((GL,volume 31))

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Abstract

The fundamental law of electrostatics was discovered by Couloumb1, and states that the force between two small charged bodies is proportional in magnitude to the product of the charges and inversely proportional to the square of their distance apart,

$$F = c{{^e{1^e}2} \over {{r^2}}},$$

the force being one of repulsion or attraction according as the charges are of the same or opposite kinds.

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© 1967 Springer-Verlag Berlin Heidelberg

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Kellogg, O.D. (1967). Potentials as Solutions of Laplace’s Equation; Electrostatics. In: Foundations of Potential Theory. Die Grundlehren der Mathematischen Wissenschaften, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-86748-4_7

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  • DOI: https://doi.org/10.1007/978-3-642-86748-4_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-86750-7

  • Online ISBN: 978-3-642-86748-4

  • eBook Packages: Springer Book Archive

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