Consider a Butterworth low-pass filter. Determine the reduction in gain (in (mathrm{dB}) ) at (f=1.5 f_{3 mathrm{~dB}})

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Consider a Butterworth low-pass filter. Determine the reduction in gain (in \(\mathrm{dB}\) ) at \(f=1.5 f_{3 \mathrm{~dB}}\) for a (a) two-pole, (b) three-pole, (c) four-pole, and (d) five-pole filter.

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