相切双导体球的电容公式研究  

Study on capacity formula for a conductor of two tangent spheres

作　　者：谭志中[1] 

机构地区：[1]南通大学理学院,江苏南通226007

出　　处：《大学物理》2011年第9期26-30,共5页College Physics

基　　金：江苏省教育科学十一五规划立项课题(D/2009/01/127)资助

摘　　要：鉴于相切双导体球的电容公式是由级数表示的,为了研究其简洁的表达结果,再次运用镜像法研究了相切双导体球电容的通用公式,创造性地应用"平衡缩放"方法得到了一个比较简洁的近似公式,根据应用MATLAB软件对近似公式与精确公式的3种误差比较,证明了该近似公式具有非常高的精确性,完全可作为常用公式使用,该近似公式具有很好的实用性和通用性.另外,在与其他结论对比时证明了其他结论的正确与否.Owing to the capacity formula of two tangent conductor spheres being expressed by the series,the basic capacity formula of two tangent conductor spheres is restudied by using the method of mirror image for studying its concise expression result.A concise capacity formula is gained by applying the method of ＂balance zoom＂,the approximate formula is contrast with the accurate formula on three kinds of error according to the application of MATLAB software.The approximate formula is provided with high precision,it can become a common formula to use,the approximate formula has good function in general case.

关 键 词：镜像法 相切导体球 平衡缩放 简洁电容公式 误差比较. 

分 类 号：O441.1[理学—电磁学]