Revista Brasileira de Ensino de Física
On-line version ISSN 1806-9126
DALL'AGNOL, Fernando F. and MAMMANA, Victor P.. Solution for the electric potential distribution produced by sphere-plane electrodes using the method of images. Rev. Bras. Ensino Fís. [online]. 2009, vol.31, n.3, pp.3503.1-3503.9. Epub Oct 02, 2009. ISSN 1806-9126. http://dx.doi.org/10.1590/S1806-11172009005000004.
The solution for the potential distribution between a spherical and planar electrode is briefly reviewed and derived in a simple way using the method of images. An analysis of the convergence of the potential, as a function of the number of image charges accounted, is also performed. Once the potential is obtained, the evaluation of the electric field, capacitance, energy of the system and the force between the electrodes is straightforward. The solution is illustrated with pictures, schematic representations and numerical examples.
Keywords : sphere-plane potential; electric potential; method of images; sphere-plane electrodes.