Infinite Body Centered Cubic Network of Identical Resistors

Jihad H. Asada, A.A. Diabb, M.Q. Owaidatc, R.S. Hijjawid and J.M. Khalifehe aDep. of Physics, Faculty of Arts and Sciences, P.O. Box 7, Palestine Techn. Univ., Kadoorie, Tulkarm, Palestine bGeneral Studies Department, Yanbu Industrial College, P.O. Box 30436, Yanbu Industrial City, Saudi Arabia cDepartment of Physics, Al-Hussein Bin Talal University, Ma'an, 71111, Jordan dDepartment of Physics, Mutah University, Karak, Jordan eDepartment of Physics, The University of Jordan, Amman 11942, Jordan

Received: May 15, 2013

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We express the equivalent resistance between the origin (0, 0, 0) and any other lattice site (n1, n2, n3) in an infinite body centered cubic network consisting of identical resistors each of resistance R rationally in terms of known values b0 and π. The equivalent resistance is then calculated. For large separations two asymptotic formulae for the resistance are presented and some numerical results with analysis are given.

DOI: 10.12693/APhysPolA.125.60 PACS numbers: 61.50.Ah, 61.50.+f, 61.66.f, 84.37.+q, 05.50.+q, 04.60.Nc, 63.90.+t, 84.30.Bv, 02.90.+p