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Infinite simple 3D cubic lattice of identical resistors (two missing bonds)

Published online by Cambridge University Press:  13 February 2008

R. S. Hijjawi ,
J. H. Asad ,
A. J. Sakaji ,
M. Al-sabayleh  and
J. M. Khalifeh
R. S. Hijjawi
Affiliation:
Dep. of Physics – Mutah University, Karak, Jordan
J. H. Asad*
Affiliation:
Tabuk University, Teachers College, Department of Sciences (Physics), PO Box 1144, Saudi Arabia
A. J. Sakaji
Affiliation:
Dep. of Basic Sciences, Ajman University, Ajman, UAE
M. Al-sabayleh
Affiliation:
Dep. of Physics – Mutah University, Karak, Jordan
J. M. Khalifeh
Affiliation:
Department of Physics, University of Jordan, Amman-11942, Jordan
*
[email protected]
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Abstract

An infinite regular three-dimensional network is composed of identical resistors each of resistance R joining adjacent nodes. What is the equivalent resistance between the lattice site $\mathaccent"017E{r}_i $ and the lattice $\mathaccent"017E{r}_j $  site, when two bonds are removed from the perfect network? Three cases are considered here, and some numerical values are calculated. Finally, the asymptotic behavior of the equivalent resistance is studied for large distances between the two sites.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 41 , Issue 2 , February 2008 , pp. 111 - 114
Copyright
© EDP Sciences, 2008

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