计算两不同平行轴间距柱形电容器电容的保角变换法  

Use of Conformal Transformation in Calculation of Capacitances of the Column Capacitor with Two Different Space Parallels Axes

作　　者：郑永红[1] 田杨萌[1] 

机构地区：[1]北京信息科技大学理学院,北京100085

出　　处：《电子科技》2010年第1期41-43,共3页Electronic Science and Technology

基　　金：北京市教委科技创新平台基金资助项目(PXM2008-014224-067420)

摘　　要：介绍了保角变换法,利用保角变换中常用的对数变换和分式变换,分别计算了不同平行轴间距的柱形电容器的电容,并进行了讨论。结果表明,当两轴间距离平方等于内外圆柱半径平方之和的2倍时,电容器的电容与同轴电容器是等效的;当两轴间距分别为大于内外半径之和,或小于内外半径之差时,两种情况下,两轴间距的平方之和等于内外圆柱半径平方之和的2倍时,两种电容器的电容等效。Conformal transformation is introduced in the article. Logarithmic and fractional linear transformations are used to calculate the capacitances of column capacitor with two different distance parallels axes. The results show that when the distance of two axes equals doubled radial square of inside and outside column capacitor, this capacitance is equivalent to those with same axes ; and when the distance of two axes is longer than the sum of radial of inside and outside column capacitor or shorter than the difference of radial of inside and outside column capacitor, under both conditions the sum of the two distance of axes equals the doubled radial square of inside and outside column capacitor, the two capacitances are equivalent.

关 键 词：保角变换 柱形电容器 电容 

分 类 号：TM53[电气工程—电器]