S-plane bode plots - identifying poles and zeros in a circuit transfer function

A simple s-plane transformation scheme is introduced for analog circuits. Here the jω axis is moved step by step along the σ axis to meet the poles and zeros spread on the s-plane. This transformation is then applied to the circuit by adding 1) a conductance in parallel with each capacitance, and 2) a resistance in series with each inductance in the circuit. One of the major applications of the s-plane transformation is to identify and extract roots of the transfer functions. This is particularly useful in dealing with complex conjugate roots. Several examples are given that demonstrate the use and power of this technique.