Show that the active filter in Figure P149 has a transfer function of the form Ts

Show that the active filter in Figure P14–9 has a transfer function of the form TðsÞ ¼ V2ðsÞ

V1ðsÞ

¼

R1C1s R1R2C1C2s2 þ R1C2 þ R2C2 ð Þs þ 1 Using R1¼R2¼R, develop a method of selecting values for C1, C2, and R. Then select values so that the filter has a v0 of 50 krad/s and a z of 0.1. Use MATLAB to plot the filter’s Bode diagram. What type of filter is this?

Transcribed Image Text:

vi(t) R R1 ww C1 w + C FIGURE P14-9 + v2(t)