ON THE RESISTANCE BETWEEN 2 POINTS ON A GRID

被引：86

作者：

VENEZIAN, G

机构：

来源：

AMERICAN JOURNAL OF PHYSICS | 1994年 / 62卷 / 11期

关键词：

D O I：

10.1119/1.17696

中图分类号：

G40 [教育学];

学科分类号：

040101 [教育学原理]; 120403 [教育经济与管理];

摘要：

The resistance between two adjacent nodes on an infinite square grid of equal resistors can easily be found by superposition. This paper addresses the corresponding problem for two arbitrary nodes. A solution is found by exploiting the symmetry of the grid and using the method of superposition. The mathematical problem involves the solution of an infinite set of linear, inhomogeneous difference equations which are solved by the method of separation of variables.

引用

页码：1000 / 1004

页数：5