Eur. Phys. J. Appl. Phys.
Volume 41, Number 2, February 2008
|Page(s)||111 - 114|
|Section||Semiconductors and Related Materials|
|Published online||13 February 2008|
Infinite simple 3D cubic lattice of identical resistors (two missing bonds)
Dep. of Physics – Mutah University, Karak, Jordan
2 Tabuk University, Teachers College, Department of Sciences (Physics), PO Box 1144, Saudi Arabia
3 Dep. of Basic Sciences, Ajman University, Ajman, UAE
4 Department of Physics, University of Jordan, Amman-11942, Jordan
Corresponding author: email@example.com
Revised: 27 September 2007
Accepted: 3 December 2007
Published online: 13 February 2008
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 and the lattice 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.
PACS: 02.70.Bf – Finite-difference methods / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 61.72.-y – Defects and impurities in crystals; microstructure
© EDP Sciences, 2008
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