Title :
A classical puzzle: The driving-point resistances of infinite grids
Author_Institution :
State Univ. of New York, Stony Brook, NY, USA
fDate :
3/1/1984 12:00:00 AM
Abstract :
The driving-point resistance across the diagonal of a square face, or more generally, between any two nodes, of a uniform infinite square grid of 1-Ω resistances is derived. The analysis is for the general case of an n-dimensional resistive grid whose resistors are all the same, or vary in one direction only.
Keywords :
linear network analysis; lumped parameter networks; passive networks; N-dimensional resistive grid; driving-point resistances; linear network analysis; lumped parameter networks; passive networks; uniform infinite square grid; Arrays; Earth; Face; Resistance; Resistors; Vectors; Voltage measurement;
Journal_Title :
Circuits & Systems Magazine
DOI :
10.1109/MCAS.1984.6323982
