Potencial elétrico para distribuições de cargas puntiformes: Sobre a convergência de séries infinitas

Abstract

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). © by the Sociedade Brasileira de F́sica.