| 双环静电问题的分区分离变量解研究 |
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| 引用本文： | 王礼祥.双环静电问题的分区分离变量解研究[J].西南民族学院学报(自然科学版),2009,35(6):1236-1240. |
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| 作者姓名： | 王礼祥 |
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| 作者单位： | 西南民族大学预科教育学院,四川成都610041 |
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| 摘 要： | 本文研究了在球坐标系下用带电圆环面电荷密度表象、分区分离变量法解拉普拉斯方程及推广了的电磁边值关系，一般地求解任意取向轴线相交的带电双环静电问题，并由此给出了求解非对称静电问题的典型范例．
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| 关 键 词： | 带电圆环 面电荷密度表象 分离变量法 推广的电磁边值关系 电势 勒让得函数 球谐函数 |
A solution with the region-separating and the variable-separating method to electrostatic problem of double charged ring |
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| WANG Li-xiang.A solution with the region-separating and the variable-separating method to electrostatic problem of double charged ring[J].Journal of Southwest Nationalities College(Natural Science Edition),2009,35(6):1236-1240. |
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| Authors: | WANG Li-xiang |
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| Institution: | WANG Li-xiang (School of Preparatory Course, Southwest University for Nationalities, Chengdu 610041, P.R.C.) |
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| Abstract: | In this paper, the electrostatic problem of the axis-intersecting double charged ring in the spherical coordinate system is studied with the surface charge density representation of a uniformly charged ring, the solution of Laplace equation for the region-separating and the variable-separating method and generalization of the boundary-value relation in electromagnetic field, and thus we give a typical example of the non-symmetric electrostatic problem in the spherical coordinate system. |
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| Keywords: | uniform charged ring surface charge density representation variable-separating method generalization of the boundary-value relation in electromagnetic field electric potential legendre function spherical harmonic function |
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