4. Given the following Active Filter circuit: Vin= .6 sin wt R2 w 10ΚΩ R1 w 2ΚΩ + Rf w 18ΚΩ + VCC (+12v) 5.0V U1 + ப 741 Vo C1 .001592μF 5.0V VCC (-12v) Draw and label the Frequency Response Plot of "GAIN vs Frequency" specifying the GAIN at: a. f = .1Fc b. f = Fc C. f = 10Fc

For the filter: a) Determine type of filter and the cut-off frequency (Fc). Determine the peak voltage at the cut-off frequency (Fc). b) Find GAIN (Vo/Vi) at f = .1*Fc . Find GAIN (Vo/Vi) at f = 10*Fc . c) Determine the frequency at which GAIN = .4 (i.e., Vo = .4*Vi) . Draw the “Frequency Response Plot” in “Log-Log” format .

Design an ACTIVE band-pass filter for the midrange part of a loudspeaker so that the bandpass region is 400 Hz-2000 Hz (as defined by the -3dB points). Design the circuit so that the absolute gain is 2. a. Draw the circuit diagram and specify the resistor and capacitor values. Assume you can use either 100, 330, 500, or 1000 Ohm resistors and can select any value of capacitor. b. Sketch the frequency response (Gain [dB] vs. frequency (Hz)). Note that you will need to convert your gain to dB before plotting. Magnitude (dB) 15 10 5 midrange 12 1 -5 -10 -15 -20 -25 10 100 1,000 Frequency (Hz) 10,000 100,000

A) Write the equation for the small-signal gain function Vout/Vinfor the followingop-amp circuit B) What kind of filter is this circuit? C)Write the equation for the cutoff frequency of the filter D) Sketch the Frequency Response of the system