| 关于静电平衡导体表面电荷分布规律的研究 |
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| 引用本文： | 王秀娥.关于静电平衡导体表面电荷分布规律的研究[J].北京工商大学学报(自然科学版),2003,21(3):59-60. |
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| 作者姓名： | 王秀娥 |
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| 作者单位： | 北京工商大学,基础部,北京,100037 |
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| 摘 要： | 采用椭球坐标系,造典型二次曲面——单叶双曲面作为导体表面,定量分析出在静电平衡条件下,导体表面上面电荷密度的分布规律,进而说明:一般条件下,导体表面的电荷密度与其曲率并不成正比。
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| 关 键 词： | 椭球坐标 电势 面电荷密度 曲率 |
| 文章编号： | 1671-1513(2003)03-0059-02 |
| 修稿时间： | 2002年10月10日 |
ON THE STUDY OF DISTRIBUTION RULE OF ELECTRIC CHARGES ON A SURFACE OF AN ELECTROSTATIC EQUILIBRIUM CONDUCTOR |
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| WANG Xiu-e.ON THE STUDY OF DISTRIBUTION RULE OF ELECTRIC CHARGES ON A SURFACE OF AN ELECTROSTATIC EQUILIBRIUM CONDUCTOR[J].Journal of Beijing Technology and Business University:Natural Science Edition,2003,21(3):59-60. |
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| Authors: | WANG Xiu-e |
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| Abstract: | In this paper, with the aid of ellipsoidal coordinate system, choose one of the typical
quadratic surfaces-hyperboloid of single sheet as a conductor surface. We obtained the
distribution rule of the surface density of electric charges on a conductor surface under the condition of electrostatic equilibrium quantitatively. With the result obtained in this paper, we got a conclusion: the density of electric charges on the conductor surface is generally not directly proportional to the curvature of the conductor surface. |
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| Keywords: | ellipsoidal coordinate electric potential charge density curvature |
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