The Relationship Research between the Surface Charge Density and Curvature for an Ellipsoidal Conductor

For isolated ellipsoid conductor,when it is in a static balance function,the distribution of charge density on the ellipsoid conductor in theory have always been a more complex electrostatic problems.It is commonly believed that the surface charge density is direct proportion to curvature of an ellipsoidal conductor but haven't obtain a certain result.This paper will draw a conclusion through theoretical calculation.