Homework 21 ECE201: Linear Circuit Analysis Due in class: Monday, October 17, 2011 1. In the circuit below, C = 1F and R = 2Ω. Determine the following. a. If i(t) = 4u(-t) A, find voltages V4(0-) and V5(0-). b. If i(t) = 4u(-t) A, find currents i4(0-) and i5(0-). c. If i(t) = 4u(-t) A, find voltages V4(0+) and V5(0+). d. If i(t) = 4u(-t) A, find currents i4(0+) and i5(0+). e. If i(t) = 4u(-t) A, find charges Q4(0-) and Q4(0+). f. If i(t) = 4u(-t) A, find i6(t) and V6(t) for -2 < t < 20 seconds. g. If i(t) = 4u(-t) A, plot current i1(t) for -2 < t < 20 seconds. !!2. In the circuit below, the switch has been at the state shown for a long time. At time t1 = 0 seconds, the switch instantaneously switches over to the other side. And at time t2 = 4 seconds, the switch returns to its initial state. Determine the following. a. Find VL(0-) and iL(0-). b. Find iL(0+), VR(0+), and VL(0+). c. Find the effective resistance (resistor and dependent source) seen by the inductor for time 0 < t < 4 seconds. d. Find the time constant τ of the circuit during 0 < t < 4 seconds. e. Find iL(t) and VR(t) for 0 < t < 4 seconds. f. Find the power absorbed by the dependent source for 0 < t < 4 seconds. g. Plot Vx(t) for -2 < t < 8
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