南通大学学报：自然科学版2011，Vol.10Issue(3)：87-94,8.
4×n阶网络的2个等效电阻公式
Two Formulas of Equivalent Resistance of 4× n-Network
摘要
Abstract
This paper deals with the equivalent resistance of a model of 4 × n- network. Firstly, by analyzing the net- work, a system of difference equations has been constructed. And by using the matrix transform method, a distributing rule of the current in the network has been obtained. Then, according to two different boundary conditions, two universal formulas for the equivalent resistance of the 4× n-network are deduced. Meanwhile, the infinite 4 × n-network is taken into account, and two equivalent resistances in this case are also obtained. Finally, effectiveness and correctness of the methods used in this paper are verified in special cases, and the equivalence of the results obtained here and elsewhere is also pointed out.关键词
4×n阶网络/等效电阻/差分方程/矩阵变换/普适公式Key words
4× n-network/equivalent resistance/difference equation/matrix transform/universal formula分类
数理科学引用本文复制引用
谭志中,罗达峰..4×n阶网络的2个等效电阻公式[J].南通大学学报：自然科学版,2011,10(3):87-94,8.基金项目
江苏省教育科学十一五规划2009年度立项课题 （）
