椭圆柱及旋转椭球导体面的静电张力探讨

文章基于一定平面与椭圆柱、椭球的截痕均为椭圆的性质和边值问题的唯一性定理,给出了一种计算一类导体静电表面张力的简捷方法:几何归类解法,规避了引用广义坐标和进行保角变换;同时,通过深入的探讨而指出了在静电表面张力分析中存在的误解和定势思维障碍。

Exploration of Algorithm on Some Cylindroids and Ellipsoid's Surface Repulsive Force

According to the uniqueness theorem of electrostatic field boundary value problems and the property between cylindroids, ellipsoid and ellipse, this paper has explored another concise algorithm on some cylindroids and ellipsoid’s surface repulsive force: avoided quoting anyone of both generalized coordinates to solve potential partial differential equation, or disposed of cylindroid’s border through adopting conformal transformation way, and based on these conductor surfaces, this paper has given some express geometrical method.