环形多边形网络的等效电阻和电容公式  

The Formulas of Equivalent Resistance and Capacitance for Circular Polygonal Network

作　　者：汤华[1] 谭志中[2] 

机构地区：[1]江苏省运河高等师范学校,江苏邳州221300 [2]南通大学理学院,江苏南通226007

出　　处：《物理通报》2014年第2期112-117,共6页Physics Bulletin

基　　金：江苏省“青蓝工程”资助

摘　　要：根据多边形电阻网络等效电阻的研究方法和策略，本文将多边形网络推广到了环形多边形网络，研究了环形多边形网络的等效电阻和等效电容．采用基尔霍夫定律构建了二阶差分方程模型，获得了环形多边形电阻网络等效电阻和电容的两个普适公式，所得结论也适用于非平直空间的二边形．最后，将所得结论与相关结果进行了比较．According to the research method and strategy of the equivalent resistance of polygonal network, in this paper, the polygonal network has been extended to circular polygon network, the equivalent resistance and capacitance of the circular polygon network was investigated. A model of two order difference equation is constructed by Kirchhoff＇s law, and two general formulas of the equivalent resistance and capacitance for circular polygonal network are obtained, the conclusion we got are also applicable to two sides structure in the non - Euclid space. Finally, the results we got is compared on the other relative results.

关 键 词：环形多边形 基尔霍夫定律 差分方程模型 等效电阻 等效电容 

分 类 号：O441[理学—电磁学]