Discussion on General Solution of the Laplace Equation for Far Field Electric Potential

Abstract

In this paper, the general solution of Laplace equation is presented，the electric potential yielded by local electric charge system in remote field is discussed. The result shows that the electric potential yielded can be expressed as the repeated addition of multiple molecules, local electric charge system can be replaced by multiple molecules located at the origin. By comparing the result with the general solution of Laplace equation, the physical meanings of all terms of the general solution are much clearer, the mathematical equation and the physical model are unified.