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J. Lekner, “ Electrostatics of two charged conducting spheres,” Proc. Roy. Soc. A 468, 28292848 (2012).
D. J. Griffiths, private communication, April 24, 2013.
M. Meyer, “ Numerical and analytical verifications of the electrostatic attraction between two like-charged conducting spheres,” J. Electrostatics 77, 153156 (2015).
T. Murovec and C. Brosseau, “ Electrostatics of two charged conducting ellipsoids,” Appl. Phys. Lett. 102, 084105 (2013).
A. S. Khair, “ Electrostatic forces on two almost touching nonspherical charged conductors,” J. Appl. Phys. 114, 134906 (2013).
J. C. Maxwell, A Treatise on Electricity and Magnetism (Constable, London, 1891), Vol. I, Sec. 146 [Dover reprint 1954].
J. Lekner, “ Nurturing genius: the childhood and youth of Kelvin and Maxwell,” NZ Sci. Rev. 69, 713 (2012), available online at <>
W. Thomson, “ On the mutual attraction or repulsion between two electrified spherical conductors,” pp. 86–97 of Reprint of papers on electrostatics and magnetism, Macmillan (1884). See also the discussion at the end of Ref. 7 above.

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Two positively charged conducting spheres have been shown to attract at close enough range, unless they have a charge ratio that would result from contact. We give analytical results for the charge ratio at which the cross-over between electrostatic attraction and repulsion occurs, as a function of the sphere separation.


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