Resistances of Infinite Electrical Networks

It is interesting to find the equivalent resistance between two nodes of an infinite electrical network. In this paper, we consider network that can be described as a series squares whose edges are resistors with $R$ and corresponding vertices joined successively by well. Our major work diagonal base square First, apply techniques balanced bridges symmetry voltages convert each iteration parallel circuit includes previous iteration. Then, evaluate derive recursive sequence resistances iterations. After that, prove convergent using contraction theorem in real analysis. Finally, claim limit infiniteÂ