关键词: 椭球坐标, 面电荷密度, 电势, 曲率

Abstract: Using the Laplace＇ s equation, the potential distribution and the relationship of surface charge density to the curvature of an ellipsoidal conductor are obtained. It turns out that the surface charge density is not proportional to the curvature but to the cube root of the curvature.

Key words: ellipsoidal coordinates, surface charge density, potential, curvature