Using Yukawa Potential and Method of Images to Study Charge Distribution in Conductors

Abstract

Various methods to study the electric charge distribution on conductors were presented in details in this thesis. The electrostatic potential is mediated by potential law that varies as Yukawa potential instead of coulomb potential. To simplify this physical problem and its solution, the method of images was used for the different way. Yukawa potentials were used to determine the position and magnitude of the image charges on different shapes of conductors. Then the charge density distribution on these conductors was calculated. The charge density distributions on the surface of these conductors in case of Yukawa potential are plotted using Maple program and compared with the charge distribution in the case of using Coulomb law