A low-pass Butterworth filter is to be designed such that the magnitude of the voltage transfer function

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A low-pass Butterworth filter is to be designed such that the magnitude of the voltage transfer function at \(f=1.2 f_{3 \mathrm{~dB}}\) is \(14 \mathrm{~dB}\) below the maximum gain value. Determine the required order of filter.

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