THE FIELDS OF MOVING CHARGES — Edward Purcell & David Morin
Physics — E&M · effective-resistances-in-lattices
Problem
Effective resistances in lattices **
In the spirit of Problem 4.8, find the effective resistance between two adjacent nodes in an infinite (a) 3D cubic lattice, (b) 2D triangular lattice, (c) 2D hexagonal lattice, (d) 1D lattice. (The last of these tasks is a little silly, of course.) Assume that the lattices consist of 1 Ω resistors.