Electrical Analysis - Terminology and Theorems

This introduction presents some basic definitions and terms people must understand in order to perform electrical analysis with efficiency and speed. It reviews some founding theorems extensively used in the examples throughout this book. The chapter commences with an explanation of the term transfer function. A transfer function is a mathematical relationship linking an excitation signal, the input, to a response signal, the output. Excitation and response can appear at different terminals or ports but can also be observed across a common port. This is the case for impedance and admittance transfer functions. Moving to tools and theorems, the chapter talks about voltage divider, current divider, Thévenin's theorem, and Norton's theorem. Fast Analytical Circuits Techniques (FACTs) consist of expressing a transfer function with the time constants and gains in a clear and ordered form. With these simple techniques, people can derive a transfer function without writing a single equation.