ECE225L Prelab 12: Analyzing the Transfer Function of a Second-Order Sallen-Key Filter, Lab Reports of Electrical Circuit Analysis

Download ECE225L Prelab 12: Analyzing the Transfer Function of a Second-Order Sallen-Key Filter and more Lab Reports Electrical Circuit Analysis in PDF only on Docsity! ECE225L PRELAB #12 DUE: TUESDAY, APRIL 28, 2009 V (s)i H(s) V (s)o The transfer function of a second-order Sallen and Key filter is given by H(s) = Ho(ωo/Q)s s2 + (ωo/Q)s + ω2o Let Ho = 5, Q = 2, and ωo = 2000π rad/s so that H(s) = 5000πs s2 + 1000πs + (2000π)2 (a) Compute the poles and zeros of this transfer function: Zero: Poles: (b) Is this filter (i) overdamped, (ii) critically-damped, or (iii) underdamped? (Circle the correct answer.) (c) If the quality factor Q is defined by Q = fo β what is the bandwidth β = fH − fL of this circuit?