无穷球面网络任意两节点间的等效电阻公式  

Equivalent resistance between any two nodes in an infinite globe network

作　　者：汤华[1] 

机构地区：[1]运河高等师范学校数理信息系,江苏邳州221300

出　　处：《大学物理》2015年第9期15-18,共4页College Physics

摘　　要：电阻网络等效电阻的研究已经取得较大进展,但目前仍存在一些问题没有得到解决.尽管一个有限的球面网络中的任意两个节点之间的等效电阻已得到很好解决,然而,在无穷球面网络中的任意两个节点之间的等效电阻尚未得到解决.本文通过取极限的方法,给出了无穷球面网络中任意两个节点之间的等效电阻公式,并且给出了3个具体的简单应用实例.The Study on the equivalent resistance of resistor network is constantly making progress, but there are still some unresolved problems. The equivalent resistance between any two nodes in a finite globe network has been solved. However, the equivalent resistance between any two nodes in an infinite case has not yet been solved. This paper, by taking the limit method, gives three integral formula for the equivalent resistance between any two nodes in the infinite globe network. Three specific examples are given as simple application of this method.

关 键 词：球面网络 无限网络 等效电阻 

分 类 号：O441[理学—电磁学]