1. Consider the following parallel circuit: I supply C VC(t) a. Derive the transfer functions T,(s) Vc(s) (s) and Tz(s)

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1 Consider The Following Parallel Circuit I Supply C Vc T A Derive The Transfer Functions T S Vc S S And Tz S 1 (32.6 KiB) Viewed 67 times

1. Consider the following parallel circuit: I supply C VC(t) a. Derive the transfer functions T,(s) Vc(s) (s) and Tz(s) for sugPply(s) 1 supply(s) the circuit b. If L = 1 H and C = 1 uF, for what range of R will the system's natural response be underdamped? C. Compute the poles and zeros for T. (s) if R = 625 0. d. If R = 625 N, write an expression for the natural response for vc(t). e. If R = 625 1, write an expression for the natural response for i, (t). f. Is there any difference between the answers for parts d and e? Explain. Selected answers: R > 500 0; zero: s = 0, poles: S -800 + 1600; should be no difference between general form of natural responses in parts d and e