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静电平衡导体表面张力分析
引用本文:汤叶华,郑勤红.静电平衡导体表面张力分析[J].云南师范大学学报(自然科学版),2004,24(6):41-44,51.
作者姓名:汤叶华  郑勤红
作者单位:云南师范大学物理与电子信息学院,云南,昆明,650092
基金项目:国家自然科学基金(10365002)、云南省自然科学基金(2004A0028M)资助.
摘    要:静电平衡条件下,孤立带电导体表面任意一点的电荷处于其它电荷激发的电场中,因此受到其它电场斥力的作用,此力即为文章所讨论的表面张力。文章通过理论分析推导出导体表面张力密度与电荷密度之间的关系式,推导出孤立带电导体球、无限长导体圆柱及导体椭球的表面张力密度与所带电荷及其几何参数之间的关系。

关 键 词:面电荷密度  表面张力  静电场  表面曲率
文章编号:1007-9793(2004)06-0041-04

A Study of Conductor Surface Repulsive Force in Electrostatics
TANG Ye-hua,ZHENG Qin-hong.A Study of Conductor Surface Repulsive Force in Electrostatics[J].Journal of Yunnan Normal University (Natural Sciences Edition),2004,24(6):41-44,51.
Authors:TANG Ye-hua  ZHENG Qin-hong
Abstract:In electrostatic field, the charges on the isolated conductor surface are repelled by the other charges, which is defined as surface repulsive force discussed in this paper. By theoretical analysis, the formula of the surface repulsive force related with charge density is derived. The expressions of the surface repulsive force of the isolated charged conductor ball, ellipsoid, and thin disk have been obtained, and the relation among surface repulsive force density, the whole electrostatic field and surface curvature have been presented to discuss.
Keywords:surface charge density  surface repulsive force  electrostatic field  surface curvature  
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