大学物理 ›› 2016, Vol. 35 ›› Issue (4): 22-22.

• 著者文摘 • 上一篇    下一篇

三维△×n阶电阻网络的两个等效电阻公式

袁莉;谭志中;彭菊   

  1. 南通大学理学院,江苏南通226019
  • 出版日期:2016-04-20 发布日期:2016-04-20

Two equivalent resistance formulas of 3D △ × n network

  • Online:2016-04-20 Published:2016-04-20

摘要: 研究了一类三维△×n阶电阻网络在2种不同情形下的等效电阻问题.采用网络分析方法,通过构建差分方程组模型及矩阵变换,获得了三维△×n阶电阻网络远节点之间的2个等效电阻公式,并具体进行了讨论和验证.

关键词: 三维△×n阶网络, 差分方程, 矩阵变换, 等效电阻

Abstract: Under various conditions,an equivalent resistance of 3D △ × n network is studied. By establishing model of differential equations and matrix transformation in terms of network analysis,we have found two equivalent resistance formulas between two remote nodes of 3D △ × n network. The equivalent resistance can be specifically discussed and confirmed.

Key words: 3D △ × n network, differential equation, matrix transformation, equivalent resistance

中图分类号: 

  • TM131