https://doi.org/10.1140/epjb/e2006-00311-x
On the resistance of an infinite square network of identical resistors – Theoretical and experimental comparison
1
Department of Physics, University of Jordan, Amman, 11942, Jordan
2
Physics Department, Ajman University, Ajman, UAE
3
Physics Department, Mutah University, Karak, Jordan
Corresponding author: a jihadasd2002@yahoo.com
Received:
4
February
2006
Revised:
8
June
2006
Published online:
2
August
2006
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, Go (0, 0), 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.
PACS: 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 61.50.Ah – Theory of crystal structure, crystal symmetry; calculations and modeling Crystal growth / 84.37.+q – Measurements in electric variables (including voltage, current, resistance, capacitance, inductance, impedance, and admittance, etc.)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006
