2021Unpublished venueRequires access

Two Charged Spheres

John Lekner

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Abstract

The capacitance coefficients of two spheres are calculated and limiting forms at large and small separations discussed. The (equal and opposite) forces acting between the spheres are calculated, as are the charge distributions on the spheres. The cases where the spheres are held at different potentials are discussed, including the force acting between them. Appendices cover regions of attraction and repulsion between like-charged conducting spheres and charged intersecting spheres.

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What this paper is about

The capacitance coefficients of two spheres are calculated and limiting forms at large and small separations discussed. The (equal and opposite) forces acting between the spheres are calculated, as are the charge distributions on the spheres. The cases where the spheres are held at different potentials are discussed, including the force acting between them. Appendices cover regions of attraction and repulsion between like-charged conducting spheres and charged intersecting spheres.

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Available abstract

The capacitance coefficients of two spheres are calculated and limiting forms at large and small separations discussed. The (equal and opposite) forces acting between the spheres are calculated, as are the charge distributions on the spheres. The cases where the spheres are held at different potentials are discussed, including the force acting between them. Appendices cover regions of attraction and repulsion between like-charged conducting spheres and charged intersecting spheres.

Key concepts: SPHERES, Limiting, Hard spheres, Classical mechanics, Charge (physics), Physics, Quantum mechanics, Engineering

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