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

Cutoff frequency at 500 radians/second

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.

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

Cutoff frequency at 500 radians/second

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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