Electrical properties of ann-order network with Y circuits

This paper introduces ann-order network model with Y circuits to investigate the electrical properties, and it is an entirely new question that has seldom been addressed in the academic world. We carry out the research by means of building an equivalent model. Firstly, we use Kirchhoff's law to build a second-order nonlinear recurrence equation model. Secondly, by using variable substitution we transform the nonlinear equation into a linear difference equation. Thirdly, we name the process recurrence transformation ofn-order network, called N-RT for short. Based on the linear difference equation, an analytical solution is offered to the problem of the equivalent resistance of then-order network with Y circuits. This research is going to find specific application in many cases. What's important, this paper further investigates the equivalent complex impedance ofLCnetwork and the electrical properties of complex impedance, and illustrates the oscillation and resonance characteristics ofLCnetwork with 3D graphs.