Homework 19 ECE201: Linear Circuit Analysis Due in class: Wednesday, October 12, 2011 1. The configuration of an RC circuit is given below. a. Find the effective resistance seen by the capacitor. b. Determine the time constant τ of the RC circuit. c. If V(t) = 10u(t) and VC(0) = 0V, plot VC(t) for 0 < t < 2τ seconds. d. If V(t) = 10u(t) and VC(0) = 4V, plot VC(t) for 0 < t < 2τ seconds. e. If V(t) = 10u(t) and VC(0) = –2V, plot iC(t) for 0 < t < 2τ seconds.2. The configuration of an RL circuit is given below. The switch is initially open, and at time t = t0 the switch closes. The values of R and L are R = 3Ω and L = 2H. The initial voltage across each inductor at t = 0 is zero. a. Find the time constant τ1 of the circuit when the switch is open. b. Find the time constant τ2 of the circuit when the switch is closed. c. If i(0) = 2A and t0 = τ1, plot Vout(t) for 0 < t < τ1. d. If i(0) = 2A and t0 = τ1, plot Vout(t) for 0 < t < τ1+τ2. e. If i(0) = 2A and the switch closes at t = τ1, but opens again at t = τ2, then what is the voltage VL across the 3L inductor at time t = 2τ1+τ2.
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