多边形电阻网络等效电阻的统一建构  

A General Formula on Equivalent Resistance of Regularly Connected Polygon Resistance Network

作　　者：谭志中[1] 陆建隆[2] 

机构地区：[1]南通大学理学院,江苏南通226007 [2]南京师范大学物理科学与技术学院,江苏南京210097

出　　处：《河北师范大学学报（自然科学版）》2011年第2期140-144,共5页Journal of Hebei Normal University：Natural Science

基　　金：江苏省教育科学"十一五"规划课题(D/2009/01/127)

摘　　要：采用网络分析构建差分方程模型的方法,实现了多边形电阻网络等效电阻的统一建构,获得了简洁的通用公式,并且给出了用费波那契数列表达的结果,同时将多边形概念拓展到非平直空间的二边形(二角形).最后,将所得结果与相关结果进行了比较.所得结论也适用于规则联接的多边形电容网络.A laconic general formula of equivalent resistance of polygon resistance network is gotten by analyzing the network, and a simple expression of Fibonacci Sequence is acquired in the meantime. The polygon concept is also expanded to two-side structure of the non-euclid space, the results are compared with connected argument. The conclusion is also applicable to some regularly connected polygon capacitor networks.

关 键 词：规则多边形 网络分析 等效电阻 统一建构 非平直空间 费波那契数列 二边形 

分 类 号：O441[理学—电磁学]