论管状电阻网络的阻值  

Investigation on resistance of a tubular resistance network

作　　者：张一幸[1] 韩智超[2] 闫秦怀[3] 张博[4] 李凯[2] 滕保华[5] 

机构地区：[1]电子科技大学数学学院,四川成都611731 [2]电子科技大学英才学院,四川成都611731 [3]电子科技大学通信学院,四川成都611731 [4]电子科技大学自动化学院,四川成都611731 [5]电子科技大学物理电子学院,四川成都610054

出　　处：《大学物理》2012年第12期45-47,53,共4页College Physics

摘　　要：利用周期性条件严格地计算了管状电阻网络的电阻问题,得到了管状网络中任意两点间阻值与管状网络周期的函数关系式.同时借助三维图,形象地分析了周期性条件对管状电阻网络阻值的影响,并指出无限大平面和无限长梯状电阻网络是无限长管状电阻网络的特例.The resistance between two grid points on tubular resistance network is calculated exactly by using the periodic condition. The function between resistance of any two grid points on tubular resistance network and the period of tubular network is established. Then the influence of the periodic condition on the resistances is analyzed by constructing a three-dimensional parameter space. Meanwhile, it is pointed out that infinite plane and infinite ladder shaped resistance networks are some special cases of the infinite tubular resistance network.

关 键 词：周期性条件 管状电阻网络 阻值 

分 类 号：O441[理学—电磁学]