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# Determine the transfer function of the second-order (2 poles) lowpass Butterworth filter with a 3-dB cutoff frequency of 5 kHz.

11. Determine the transfer function of the second-order (2 poles) lowpass Butterworth filter with a 3-dB
cutoff frequency of 5 kHz. Design it using the Sallen-Key lowpass filter configuration, find all the
values of the circuit elements, and draw the circuit. What is the DC gain?
12. A filter has the following design specifications:
Cutoff frequency 1500 Hz
Second-order Butterworth highpass filter
Sallen-Key circuit topology
Determine the transfer function and realize it using the Sallen-Key circuit topology.
13. Design a second-order Butterworth bandpass filter with the following specifications:
Bandwidth: 400 Hz
Center frequency: 2000 Hz
Determine the transfer function and realize it using the Sallen-Key circuit topology.
14. Realize the Butterworth filter in Problem 11 using a unit gain.
15. From the specifications in Problem 11, realize the transfer function with a DC gain of 1 using the
Multiple Feedback filter configuration.
16. Determine the transfer function of a second-order (2 poles) highpass Chebyshev filter with a 1-dB
ripples on the passband, cutoff frequency of 5 kHz, and the passband gain=1. Design it using the
Multiple Feedback filter configuration, find all the values of the circuit elements, and draw the circuit.
17. Determine the transfer function of a second-order (2 poles) bandpass Butterworth filter with a center
frequency of 5 kHz, passband gain=1, and a 3-dB bandwidth of 400 Hz. Design it using the Multiple
Feedback filter configuration, find all the values of the circuit components, and draw the circuit.
18. Determine the transfer function of a second-order (2 poles) Notch Butterworth filter with a center
frequency of 5 kHz, passband gain=1, and a bandwidth of 400 Hz. Design it using the Multiple
Feedback filter configuration, find all the values of the circuit components, and draw the circuit.
19. Determine the transfer function of a 4th-order (4 poles) lowpass Butterworth filter with a 3-dB
cutoff frequency of 3.4 kHz and passband gain=1. Design the circuit using the MFB topology (hint:
design two sections each with an order of 2).
20. Specifications of an analog filter are given below:
Chebyshev lowpass filter
Passband ripple = 0.5 dB
Absolute DC gain =1
40 dB attenuation at the stop frequency of 2500 radians/second
Determine the lowpass prototype function.
21. Specifications of an analog filter are given below:
Butterworth highpass filter
Absolute passband gain =1
3-dB cutoff frequency at 4000 radians/second
40 dB attenuation at the stop frequency of 800 radians/second
Determine the lowpass prototype function.

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