Electrical characteristics of the 2 × n and □ × n circuit network

This paper presents two new fundamentals of the 2 × n and □ × n circuit network. The results of a plane 2 × n resistor network can be applied to a □ × n circuit network, which has not been studied before. We first study the 2 × n resistor network by modeling a differential equation and obtain two equivalent resistances between two arbitrary nodes of the 2 × n network. Next, the □ × n cube network is transformed to the 2 × n plane network equivalently to achieve two resistance formulae between two arbitrary nodes of the □ × n cube network. By applying the resistance results to the □ × n LC cube network, the complex impedance characteristics of the LC network, which includes oscillation characteristics and resonance properties, are discovered.