(a) Design a two-pole high-pass Butterworth active filter with a cutoff frequency at (f_{3 mathrm{~dB}}=25 mathrm{kHz}) and...

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(a) Design a two-pole high-pass Butterworth active filter with a cutoff frequency at \(f_{3 \mathrm{~dB}}=25 \mathrm{kHz}\) and a unity gain magnitude at high frequency.

(b) Determine the magnitude (in \(\mathrm{dB}\) ) of the gain at (i) \(f=22 \mathrm{kHz}\), (ii) \(f=25 \mathrm{kHz}\), and (iii) \(f=28 \mathrm{kHz}\).

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