%0 Journal Article %1 venezian94 %A Venezian, Giulio %D 1994 %J American Journal of Physics %K circuit effective.resistance network physics resistor %N 11 %P 1000--1004 %R 10.1119/1.17696 %T On the Resistance between Two Points on a Grid %V 62 %X 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.  

@article{venezian94, abstract = {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.  }, added-at = {2016-04-24T14:47:20.000+0200}, author = {Venezian, Giulio}, biburl = {https://www.bibsonomy.org/bibtex/2d78661a48d7b48b78a5c2b2d73c91c3d/ytyoun}, doi = {10.1119/1.17696}, eid = {1000}, interhash = {1affa0d246ba75f12d993f5fd9294867}, intrahash = {d78661a48d7b48b78a5c2b2d73c91c3d}, journal = {American Journal of Physics}, keywords = {circuit effective.resistance network physics resistor}, number = 11, pages = {1000--1004}, timestamp = {2016-04-25T14:53:47.000+0200}, title = {On the Resistance between Two Points on a Grid}, volume = 62, year = 1994 }