Design a tuned \(R L C\) filter to pass the third harmonic of a triangular wave.

(a) Use the results in Figure 13-4 in the text to find the Fourier coefficients of the input for \(V_{\mathrm{A}}=15 \mathrm{~V}\) and \(T_{\mathrm{O}}=10 \pi\) ms. Design your filter with a \(Q\) of 10 .
(b) compare the magnitudes of the fundamental and of the fifth harmonic with that of the third harmonic at the input and output of the tuned filter.