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静电场的自作用能 被引量:1

Self-action Energy in Electrostatic Field
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摘要 静电场能量We是一个非常重要的基本概念。目前文献大多是从点电荷{qi}系做功来讨论We的。十分明显,由于点电荷的自作用存在发散困难,因而在它的We中并不包含自作用能。进一步把问题推广到分布电荷系统,这时储能可表示为We=1/2■ρ(■′)φ(■′)dv′。但对它的理解有不同意见。例如,文献[3]认为,这种情况下"它们不仅包含了电荷之间的相互作用能,同时也包括了电荷系固有能。"本文将严格证明:在We公式中静电场的自作用能始终为零。值得提出,自作用能的问题还可引申到哲学层面作深入探讨,如著名美国物理学家费曼(Feynman)为消除电子点模型的发散困难曾经作过很大的努力。文中还提及,在采用We=1/2■ρ(■′)φ(■′)dv′计算储能时必须采用六重积分,否则会产生计算错误。 As the second reading notes about instructional electromagnetic theory, this paper discusses the electrostatic energy, which is an important basic concept. At present most of references discuss the electrostatic energy by using point charge system {qi }. However electrostatic energy obviously does not include the self-action energy for its volatilization. When extends to the distribution charge system, the energy can be described as We=1/2Ⅲρ(r^+′)φ(r^+′)dv′ The comprehension to this problem is different. For example, reference [3] pointed out that the energy expression of the point charge system contains not only the mutual-action energy of the charges but also inherent energy. It can be strictly proved that self-action energy of electrostatic energy is zero in this paper. It is worth to point out that the self energy can be extended to philosophy. Famous America physical scientist Feynman makes great effort to eliminate the volatilization difficulty. It also presented that the hexagonal integral must be utilized when calculating the energy by We=1/2Ⅲρ(r^+′)φ(r^+′)dv′otherwise it will be error.
作者 梁昌洪 陈曦
出处 《电气电子教学学报》 2009年第2期1-4,7,共5页 Journal of Electrical and Electronic Education
基金 教育部<创新教学团队>资助
关键词 静电储能We 自作用能和互作用能 场计算法和源计算法 electrostatic energy We self-action energy and mutual-action energy field intensity calculationand source calculation
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参考文献5

  • 1毕德显,仇平,吴万寿等.电磁场理论基础[M].西安:军事电信工程学院,1964.
  • 2王蔷,李国定,袭克.电磁场论基础[M].北京:清华大学出版社,2001:54-55.
  • 3[美]D.K.郑钧著,赵姚同,黎滨洪译.电磁场与波[M].上海:上海交通大学出版社,1985.
  • 4James Gleick,黄小玲译.费曼传--1000年才出一个科学鬼才[M].北京:高等教育出版社,2004:105,115,118.
  • 5R P.Feynman,关洪译.物理定律的本性[M].南昌:湖南科学技术出版社,2005:197-199.

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