南通大学学报:自然科学版2012,Vol.11Issue(2):88-94,7.
5×n阶网络等效电阻的两个普适公式
Two General Formulas of Equivalent Resistance of 5 × n Step Network
摘要
Abstract
As to the problem that the calculation of the equivalent resistance of 5 × n step network hasn′t worked out,the basic structure of 5 × n step network is studied and the equivalent resistance of the network is analyzed and calculated.A set of difference equation is solved by using the matrix transform method and two general formulas for the inlet resistance of 5 × n step network are proposed.Meanwhile,the infinite 5 × 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 of n = 0,1,2.The results revealed have certain guidance value in the actual application.关键词
5×n阶网络/差分方程/矩阵变换/等效电阻/普适规律Key words
5 × n step network/difference equation/matrix transform/equivalent resistance/general formula分类
数理科学引用本文复制引用
谭剑,谭志中..5×n阶网络等效电阻的两个普适公式[J].南通大学学报:自然科学版,2012,11(2):88-94,7.基金项目
江苏省教育科学“十一五”规划2009年度立项课题 ()