Analysis of infinite d-dimensional networks – Capacitance between two adjacent nodes

This work showed that infinite d-dimensional networks consisting of identical capacitors each of capacitance C can be analyzed using basic concepts of physics. In this work we have showed that the equivalent capacitance Ceq between any two adjacent nodes in the infinite d-dimensional networks consisting of identical capacitors, is equal to dC where d is the dimension of the infinite network (i.e., d = 1,2,3,…). The results obtained here are in an excellent agreement with previous studied carried out.