ECEN 325 Lab 2: Second Order Circuits 1 Objectives The purpose of the lab is to investigate the frequency response of second order circuits and further practice circuit design and analysis techniques in the frequency domain. 2 Introduction It is useful to format a transfer function as a multiplication of known functions so that its frequency response can be easily sketched without the need for complex tools. Since the y-axis of Bode plots are in dB-scale, Bode plot of the overall transfer function can be simply obtained by graphically adding Bode plots of individual first or second order sections on the same frequency axis. In case the derivation of H(s) already yields multiplication of known functions, then it is best to keep them in these formats. However, if the derivation yields multiplication of transfer functions with high order numerator or denominator polynomials, then you may need to decompose them into smaller known sections. Table 1 shows first order functions and their magnitude and phase responses. Table 1: First Order Functions H(s) Bode Magnitude Bode Phase H(s) Bode Magnitude Bode Phase 1 1 s o0dB o 20 dB/dec 90 o 0 1 s o 20 dB/dec o 0dB 90 o