Abstract: On the basis of analyzing the symmetry of 2 × n order ladder resistance network and by using the recurrence relation in constructing equivalence resistance for n order ladder resistance network for arbitrary resistance load,the general term formula of n order ladder resistance network is obtained through simple equivalent transformation. The formula is applied to the piecewise calculation of equivalent resistance of n order and 2 × n order ladder resistance network and also applied to the calculation of the general formula for 2 × n order ladder resistance network. The present study reveals the close relation between the n order ladder resistance network and the 2 × n order ladder resistance network and the inner rules of them. The complexity of the research is eliminated by using this method.

Key words: ladder network, equivalent resistance, expended applications, network associate