Impedance between adjacent nodes of infinite uniform D-dimensional resistive lattices

American Journal of Physics

Volumn 72, Issue 7, 2004, Pages 972-973

  Osterberg, Peter M ^a   Inan, Aziz S ^a  

^a UNIVERSITY OF PORTLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042729698     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.1648331     Document Type: Note

References (10)

1. R. E. Aitchison, "Resistance between adjacent points of Liebman mesh," Am. J. Phys. 32, 566 (1964).
2. F. J. Bartis, "Let's analyze the resistance lattice," Am. J. Phys. 35, 354-355 (1967).
3. A. H. Zemanian, "A classical puzzle: The driving-point resistances of infinite grids," IEEE Circuits Systems Magazine 6 (1), 7-9 (1984).
4. A. H. Zemanian, Infinite Electrical Networks (Cambridge U.P., New York, 1991), Chap. 7.
5. B. van der Pol and H. Bremmer, Operational Calculus Based on The Two-Sided Laplace Integral (Chelsea, New York, 1987), 3rd ed., pp. 371-372.
6. G. Venezian, "On the resistance between two points on a grid," Am. J. Phys. 62, 1000-1004 (1994).
7. D. Atkinson and F. J. van Steenwijk, "Infinite resistive lattices," Am. J. Phys. 67, 486-492 (1999).
8. L. Lavatelli, "The resistive net and finite-difference equations," Am. J. Phys. 40, 1246-1257 (1972).
9. M. Jeng, "Random walks and effective resistances on toroidal and cylindrical grids," Am. J. Phys. 68, 37-40 (2000).
10. J. Cserti, "Application of the lattice Green's function for calculating the resistance of an infinite network of resistors," Am. J. Phys. 68, 896-906 (2000).