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关于静电平衡导体表面电荷分布规律的研究

ON THE STUDY OF DISTRIBUTION RULE OF ELECTRIC CHARGES ON A SURFACE OF AN ELECTROSTATIC EQUILIBRIUM CONDUCTOR

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【作者】 王秀娥;

【Author】 WANG Xiu-e (Department of Basic Courses, Beijing Technology and Business University, Beijing 100037, China)

【机构】 北京工商大学基础部 北京 100037;

【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。

【Abstract】 In this paper, with the aid of ellipsoidal coordinate system, choose one of the typicalquadratic surfaces-hyperboloid of single sheet as a conductor surface. We obtained thedistribution 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.

  • 【文献出处】 北京工商大学学报(自然科学版) ,Journal of Beijing Technology and Business University (Natural Science Edition) , 编辑部邮箱 ,2003年03期
  • 【分类号】O441
  • 【被引频次】3
  • 【下载频次】330
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