Find the transfer function of the active filter in Figure P14-4. Then using (R_{1}=R_{2}=R_{3}=20 mathrm{k} Omega, C_{1}=0.3

Question:

Find the transfer function of the active filter in Figure P14-4. Then using \(R_{1}=R_{2}=R_{3}=20 \mathrm{k} \Omega, C_{1}=0.3 \mu \mathrm{F}\), and \(C_{2}\) \(=0.0333 \mu \mathrm{F}\), find the filter's type and roll-off, its cutoff frequency and its \(\zeta\). Use MATLAB to plot the filter's Bode diagram. Build and simulate your circuit in Multisim and compare the results with MATLAB's. Determine the location in \(\mathrm{rad} / \mathrm{s}\) and magnitude in \(\mathrm{dB}\) of the peak in the frequency response.

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