1. Department of Physics, Al-Hussein Bin Talal University, Ma’an, 20, 71111, Jordan 2. Department of Physics, Mutah University, Mutah, Jordan 3. Department of Physics, University of Jordan, Amman, 11942, Jordan
Abstract:
Investigation of the effective resistance between two arbitrary nodes of a resistor network is carried out when it is perturbed by introducing two extra interstitial resistors in the perfect lattice using lattice Green’s function. Analytical formula for the effective resistance of the perturbed lattice is given in terms of that for the unperturbed one. Numerical results for a square lattice are presented.