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Regions of attraction between like-charged conducting spheres
D. J. Griffiths, private communication, April 24, 2013.
J. C. Maxwell, A Treatise on Electricity and Magnetism (Constable, London, 1891), Vol. I, Sec. 146 [Dover reprint 1954].
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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