Problem

Consider the RLC circuit shown in Figure 9.27 with input x(t) and output y(t). (a) Sho...

Consider the RLC circuit shown in Figure 9.27 with input x(t) and output y(t).

(a) Show that if R, L, and C are all positive, then this LTI system is stable.

(b) How should R, L, and C be related to each other so that the system represents second-order Butterworth fitter?

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