In this work we present a study of numerical solutions for finite cylindrical capacitors based on the integration of Poisson equation using a finite difference scheme. Solutions are obtained by successive over relaxation (SOR). The problem illustrates the numerical treatment involved in the solution of problems not found in textbooks. Several interesting quantities (charge distribution, capacitance, electric field energy, force) may be compared to analytical results for the infinite capacitor.
capacitance; electric field; finite differences
