Show that the active filter in Figure P147 has a transfer function of the form Ts V2s V1s R1R2C1C2s2 R1R2C1C2s2 R1C1s

Show that the active filter in Figure P14–7 has a transfer function of the form TðsÞ ¼ V2ðsÞ

V1ðsÞ

¼ R1R2C1C2s2 R1R2C1C2s2 þ R1C1s þ 1 Using C1¼C2¼C, develop a method of selecting values for C, R1, and R2. Then select values so that the filter has a cutoff frequency of 1 krad/s and a z of 0.1. Use MATLAB to plot the filter’s Bode diagram. Determine the type of filter it is and its roll-off How does the circuit and this transfer function compare with that of Problem 14–4?

C1 v(t) '+ C2 R R1 www FIGURE P14-7 + + v2(t)