大学物理 ›› 2017, Vol. 36 ›› Issue (7): 25-27.doi: 10.16854 /j.cnki.1000-0712.2017.07.008

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对称椭圆弧柱板电容器的电容

王秋宇,陈钢,林小婷   

  1. 苏州大学物理与光电·能源学部,江苏苏州215006
  • 收稿日期:2016-09-19 修回日期:2017-01-06 出版日期:2017-07-20 发布日期:2017-07-20
  • 作者简介:王秋宇( 1992—) ,男,江苏苏州人,苏州大学物理与光电·能源学部2015 级学科教学( 物理)

Capacitance of symmetric elliptic cylindrical capacitor

WANG Qiu-yu,CHEN Gang,LIN Xiao-ting   

  1. School of Physics,Photoelectric and Energy Division,Soochow University,Suzhou,Jiangsu 215006,China
  • Received:2016-09-19 Revised:2017-01-06 Online:2017-07-20 Published:2017-07-20

摘要: 在椭圆柱板上开缝的椭圆柱板电容器是电容器的一种形式.本文用保角变换的方法求解了缝宽不等的对称椭圆弧 柱板电容器的电容值.由儒可夫斯基变换和分式线性变换,将对称椭圆弧柱板变换成为对称圆弧柱板,并再变换成为斜板电容 器形式,利用对称斜板电容的结果求出缝宽不等的椭圆弧柱板电容器的电容.

关键词: 椭圆柱板电容器, 电容, 儒可夫斯基变换, 保角变换

Abstract: Elliptical plate capacitor made of slots in the elliptical cylindrical plate is a form of capacitor. In this paper,the conformal mapping method is used to solve the capacitance value of the symmetric elliptic cylinder plate capacitor with different slit width.Using the method of Zhukovsky transformation,we convert a symmetric elliptic cylindrical capacitor to a symmetrical arc - cylindrical capacitor. The capacitance of slotted elliptic cylindrical capacitor with different slit width is found out in terms of the results of the symmetrical arc-cylindrical capacitor reference from the literature.

Key words: elliptic cylindrical capacitor, capacitance, Zhukovsky transformation, conformal transformation