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5×n阶网络等效电阻的两个普适公式

谭剑 谭志中

南通大学学报:自然科学版2012,Vol.11Issue(2):88-94,7.
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

谭剑 1谭志中2

作者信息

  • 1. 扬州大学信息工程学院,江苏扬州225009
  • 2. 南通大学理学院,江苏南通226007
  • 折叠

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 ()

南通大学学报:自然科学版

1673-2340

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