(Solved):   6.54 The input signal to a unity-gain second-order lowpass Butterworth filter is the perio ...

 

6.54 The input signal to a unity-gain second-order lowpass Butterworth filter is the periodic triangularwave voltage shown in Fig P16.54. The corner frequency of the filter is \( 2 \mathrm{krad} / \mathrm{s} \). Write the first three terms of the Fourier series that represents the steady-state output voltage of the filter.