2×n阶电阻网络等效电阻的再研究  

Restudy on the Equivalent Resistance of 2×n Network

作　　者：谭志中[1] 罗礼进[1] 

机构地区：[1]南通大学理学院,江苏南通226007

出　　处：《南通大学学报（自然科学版）》2010年第1期86-89,共4页Journal of Nantong University(Natural Science Edition)　

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

摘　　要：再次研究了一般情形时的2×n阶电阻网络的等效电阻.应用网络分析和构建巧妙的矩阵变换方法,给出了2×n阶电阻网络在一般情形时的一个普适规律和无穷时的极限规律.与其它相关结果比较发现,所得等效电阻通用公式对于任意参数具有形式不变性.The equivalent resistance of 2 ×n network is studied again. By means of virtual current method, the 2 ×n network is analyzed and a model of two-variable difference equation is proposed. The matrix transform is constructed by artifice. Based on different marginal conditions, a general formula for the inlet resistance of 2×n network and an utmost rule for the equivalent resistance of 2×n-network are presented. We found the general formula is fixity in the form for random parameter when the result is compared with others.

关 键 词：2×n阶网络 等效电阻 矩阵变换 普适规律 形式不变性 

分 类 号：O441[理学—电磁学]