Abstract: In view of the importance of the resistor network model and the 3×n-step resistor network is still not fully resolved, this paper discusses the equivalent resistor of 3×n-step diagonal resistor network. By establishing the network＇s differential equations model in terms of network analysis, we resolve this differential equations through matrix transformation. Depending on the boundary conditions, a beautiful, general formula for the diagonal resistance of 3×n-step diagonal resistor network is proposed.

Key words: ：3×n layered network, diagonal equivalent resistance, differential equation, matrix transformation, general formula