Revista Brasileira de Ensino de Física
Print version ISSN 1806-1117
MACEDO, Diego Ximenes and GUEDES, Ilde. Electric potential of point charges distributions: on the convergence criteria of infinite series. Rev. Bras. Ensino Fís. [online]. 2010, vol.32, n.3, pp. 1-5. ISSN 1806-1117. http://dx.doi.org/10.1590/S1806-11172010000300009.
In this work we obtain the electric potential for some infinite distributions of point charges. The convergence criteria for the resulting series are discussed. We also calculate the surface charge density induced on an infinite grounded conducting plane and on a grounded conducting sphere of radius a by an infinite distribution of point charges with alternate signs and harmonically decreasing magnitude (∼ q/n)
Keywords : electrostatic potential; infinite series; convergence.