Show that the circuit in Figure P14=55 produces a third-order Butterworth low-pass filter with a cutoff frequency of \(\omega_{\mathrm{C}}=1\) / \(R C\) and a passband gain of \(K=4\). Then, design a third-order Butterworth low-pass filter using the filter in Figure P14=55 with a cutoff frequency of \(20 \mathrm{krad} / \mathrm{s}\). Verify your design using Multisim.

Transcribed Image Text:

R om 2C: R R ww ww C= C/2 ww R ww 3R