Chapter 15, Problem 15.1TYU

(a) Design a three−pole high−pass Butterworth active filter with a cutofffrequency of 200 Hz and a unity gain at high frequency. (b) Using the results of part (a),determine the magnitude of the voltage transfer function at (i) $f=100\text{Hz}$ and(ii) $f=300\text{Hz}$ . (Ans. (a) Let $C=0.01\mu \text{F}$ , then $R_1=22.44\text{k}\Omega$ , $R_2=57.17\text{k}\Omega$ , $R_3=393.2\text{k}\Omega$ ; (b)(i) $\left|T\right|=0.124\to -18.1\text{dB}$ , (ii) $\left|T\right|=0.959\to -0.365\text{dB}$ )