On the resistance of an infinite square network of identical resistors – Theoretical and experimental comparison

A review of the theoretical approach for calculating the resistance between two arbitrary lattice points in an infinite square lattice (perfect and perturbed cases) is carried out using the lattice Green's function. We show how to calculate the resistance between the origin and any other site using the lattice Green's function at the origin, G<Subscript>o</Subscript> (0, 0)<Emphasis Type="Bold">, and its derivatives. Experimental results are obtained for a finite square network consisting of 30 ×30 identical resistors, and a comparison with those obtained theoretically is presented. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006