The circuit shown in Figure is a Butterworth filter.(a) Determine the order of the filter....

The circuit shown in Figure is a Butterworth filter.

(a) Determine the order of the filter.

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(b) What is the 3-dB bandwidth of the filter if R = 10 kΩ and C = 10 nF?

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(c) Design a low-pass Butterworth filter with a cut-off frequency of 1 kHz by modifying the circuit of Part (b).

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(d) Design a high-pass Butterworth filter with a cutoff frequency of 20 kHz by modifying the circuit of Figure and choosing appropriate component values.