Infinite resistive lattices

American Journal of Physics

Volumn 67, Issue 6, 1999, Pages 486-492

  Atkinson, D ^a   Van Steenwijk, F J ^a  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033418414     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.19311     Document Type: Article

References (13)

1. G. Venezian, "On the resistance between two points on a grid," Am. J. Phys. 62, 1000-1004 (1994).
2. F. J. van Steenwijk, "Equivalent resistors of polyhedral resistive structures," Am. J. Phys. 66, 90-91 (1998).
3. R. E. Aitchison, "Resistance between adjacent points of Liebman mesh," Am. J. Phys. 32, 566 (1964).
4. F. J. Bartis, "Let's analyze the resistance lattice," Am. J. Phys. 35, 354-355 (1967).
5. E. M. Purcell, Solutions Manual to Accompany Electricity and Magnetism (McGraw-Hill, New York, 1966), 1st ed., p. 71. Note that this problem was dropped in the second edition.
6. Leo Lavatelli, "The resistive net and finite-difference equations," Am. J. Phys. 40, 1246-1257 (1972).
7. P. E. Trier, "An Electrical Resistance Network and its Mathematical Undercurrents," Bull. Inst. of Math. and its Applications 21, 58-60 (1985).
8. David Cameron, "The Square Grid of Unit Resistors." Math. Scientist 11, 75-82 (1986).
9. Armen H. Zemanian, "The Limb Analysis of Countably Infinite Electrical Networks," Proc. IEEE 64, 6-17 (1976); "Infinite Electrical Networks," J. Comb. Theory, Ser. B 24, 76-93 (1978); "Nonuniform Semi-Infinite Grounded Grids," SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. 13, 770-788 (1982); "A Classical Puzzle: The Driving-Point Resistances of Infinite Grids," IEEE Circuits and Systems Mag. 7-9 (March 1984).
10. Armen H. Zemanian, "The Limb Analysis of Countably Infinite Electrical Networks," Proc. IEEE 64, 6-17 (1976); "Infinite Electrical Networks," J. Comb. Theory, Ser. B 24, 76-93 (1978); "Nonuniform Semi-Infinite Grounded Grids," SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. 13, 770-788 (1982); "A Classical Puzzle: The Driving-Point Resistances of Infinite Grids," IEEE Circuits and Systems Mag. 7-9 (March 1984).
11. Armen H. Zemanian, "The Limb Analysis of Countably Infinite Electrical Networks," Proc. IEEE 64, 6-17 (1976); "Infinite Electrical Networks," J. Comb. Theory, Ser. B 24, 76-93 (1978); "Nonuniform Semi-Infinite Grounded Grids," SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. 13, 770-788 (1982); "A Classical Puzzle: The Driving-Point Resistances of Infinite Grids," IEEE Circuits and Systems Mag. 7-9 (March 1984).
12. Armen H. Zemanian, "The Limb Analysis of Countably Infinite Electrical Networks," Proc. IEEE 64, 6-17 (1976); "Infinite Electrical Networks," J. Comb. Theory, Ser. B 24, 76-93 (1978); "Nonuniform Semi-Infinite Grounded Grids," SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. 13, 770-788 (1982); "A Classical Puzzle: The Driving-Point Resistances of Infinite Grids," IEEE Circuits and Systems Mag. 7-9 (March 1984).
13. W. J. Duffin, Electricity and Magnetism (McGraw-Hill, London, 1990), 4th ed., p. 138.