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均匀带电椭球的静电自能——“‘带电厚椭球壳空腔内的电场’一文的补充”续
Electrostatic self-energy of a uniformly charged ellipsoid ——Sequel to “A supplement to the article ‘Electric field in the cavity of a charged thick ellipsoidal shell’”
【摘要】 计算一般形状的均匀带电椭球的静电自能,该椭球是由非导体构成的.方法是把该椭球分割成无限多个与其共轴的、等偏心率的薄椭球壳,通过考虑各个薄椭球壳的自能和它们之间的相互作用能,导出均匀带电椭球的静电自能公式.
【Abstract】 The electrostatic self-energy of a uniformly charged ellipsoid is calculated. The ellipsoid is composed of non-conductor. The method is to divide the thick ellipsoid into infinite thin coaxial ellipsoidal shells with the same eccentricity ratios. The electrostatic self-energy formula for a uniformly charged ellipsoid of general shape is obtained by considering the respective self-energy of every thin shell and interaction energy for each other.
【关键词】 带电椭球;
静电自能;
相互作用能;
电势;
薄椭球壳;
【Key words】 charged ellipsoid; self-energy; interaction energy; potential; thin ellipsoidal shells;
【Key words】 charged ellipsoid; self-energy; interaction energy; potential; thin ellipsoidal shells;
【基金】 国家自然科学基金(11961131010)资助项目;河南省科技攻关项目(172102210092)资助
- 【文献出处】 大学物理 ,College Physics , 编辑部邮箱 ,2020年06期
- 【分类号】O441.1
- 【下载频次】114