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

Chapter 9, Problem 9.64

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Consider the RLC circuit shown in Figure 9.27 with input x(t) and output y(t). (a) Show that if R, L, and Care 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 a second-order Butterworth filter?

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