| 导体椭球的面电荷密度和曲率的关系 |
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| 引用本文： | 余陨金,卫亚东.导体椭球的面电荷密度和曲率的关系[J].大学物理,2006,25(7):6-7. |
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| 作者姓名： | 余陨金 卫亚东 |
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| 作者单位： | 深圳大学,理学院,物理系,广东,深圳,518060;深圳大学,理学院,物理系,广东,深圳,518060 |
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| 摘 要： | 通过求解拉普拉斯方程,得到导体椭球的电势分布情况,进一步分析了导体表面的面电荷密度和曲率的关系,得到面电荷密度不是和曲率成正比,而是和曲率的1/3次方成正比的.
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| 关 键 词： | 椭球坐标 面电荷密度 电势 曲率 |
| 文章编号： | 1000-0712(2006)07-0006-02 |
| 收稿时间： | 04 11 2005 12:00AM |
| 修稿时间： | 02 28 2006 12:00AM |
The relationship between the surface charge density and curvature for an ellipsoidal conductor |
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| YU Yun-jin,WEI Ya-dong.The relationship between the surface charge density and curvature for an ellipsoidal conductor[J].College Physics,2006,25(7):6-7. |
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| Authors: | YU Yun-jin WEI Ya-dong |
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| Institution: | Department of Physics, Science College, Shenzhen University, Shezhen, Guangdong 518060, China |
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| Abstract: | Using the Laplace's equation,the potential distribution and the relationship of surface charge density to the curvature of an ellipsoidal conductor are obtained.It turns out that the surface charge density is not proportional to the curvature but to the cube root of the curvature. |
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| Keywords: | ellipsoidal coordinates surface charge density potential curvature |
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