CAJ | 학술논문

对于孤立带电导体椭球产生的静电场问题,一直吸引着研究者的兴趣,例如研究椭球形电容器的静电能、点电荷对椭球体的镜像荷问题、椭球壳的互作用等问题.在此启发下,我们通过引入椭球坐标系,进一步讨论处于外电场中的中性导体椭球的电势、电场及感应电荷的分布,所用方法还可以立刻推广到外电场中一般介质椭球静电性质等有趣情形.
대우고립대전도체타구산생적정전장문제,일직흡인착연구자적흥취,례여연구타구형전용기적정전능、점전하대타구체적경상하문제、타구각적호작용등문제.재차계발하,아문통과인입타구좌표계,진일보토론처우외전장중적중성도체타구적전세、전장급감응전하적분포,소용방법환가이립각추엄도외전장중일반개질타구정전성질등유취정형.
The method of solving the electric potential,field and induced charge distribution of an ellipsoidal conductor in external field is introduced,while some electrostatic characters of an ellipsoidal medium are discussed with some interesting special cases.The research provides some very simple and compact results of ellipsoidal electrostatic problems,further demonstrating the power of ellipsoid coordinates.