大学物理 ›› 2020, Vol. 39 ›› Issue (02): 15-17.doi: 10.16854 / j.cnki.1000-0712.190077

• 教学讨论 • 上一篇    下一篇

关于静电屏蔽上限的讨论

岑显焯,,邓维天   

  1. 1. 华中科技大学物理学院,湖北武汉 430074;2. 东莞市大岭山中学,广东东莞 523820
  • 收稿日期:2019-03-06 修回日期:2019-05-28 出版日期:2020-02-20 发布日期:2020-03-05
  • 通讯作者: 邓维天,E-mail:dengwt@ hust.edu.cn
  • 作者简介:岑显焯(1993—),男,广东广州人,华中科技大学物理学院2016 级硕士研究生,主要从事高能重核碰撞物理研究工作

Discussion on the upper limit of electrostatic shielding

CEN Xian-zhuo1,2,DENG Wei-tian1   

  1. 1. School of Physics,Huazhong University of Science and Technology,Wuhan,Hubei 430074,China; 2. Dongguan Dalingshan Middle School,Dongguan,Guangdong 523820,China
  • Received:2019-03-06 Revised:2019-05-28 Online:2020-02-20 Published:2020-03-05

摘要:

将导体壳放入外电场中,导体会在表面产生感应电荷,并达到静电平衡状态,导体壳腔内的电场处处为零,这就是

静电屏蔽效应.然而,如果外电场极强,或者导体内部的自由电荷太少,以至于感应电场不能完全抵消外电场,则静电屏蔽效应

将失效,这就是静电屏蔽的上限问题.本文从静电屏蔽的原理出发,将导体壳简化为一对平行金属平板的模型,定量的讨论了

这一问题.通过计算我们发现,由于金属内存在大量的自由电子,在非极端问题中,宏观的导体装置都远远不会遇到静电屏蔽

的上限问题.

关键词: 静电屏蔽, 静电感应, 静电平衡

Abstract:

The conductor shell in external electric field will produce inductive charge on its outer surface,and

reach the electrostatic balance. The electric field in its cavity is zero everywhere,this is so called electrostatic shielding. However,if the external electric field is extremely strong,or the number of free electrons in the conductor is

too small,so that the inductive field cannot offset the external field completely. This is so called the upper limit of

electrostatic shielding. In this paper,we simplify this problem as a toy model in which the conductor shell,is illustrated as a pair of parallel metal plates. Through calculation quantitatively,we have found that due to the large amount of free electrons in the metal,any macroscopic conductor devices are far from encountering this upper limit

in non-extreme question.

Key words: electrostatic shielding, electrostatic induction, electrostatic balance