Homework 32ECE201: Linear Circuit AnalysisDue in class: Wednesday, November 30, 2011Question 1For the waveforms below, write down the expressions of u1(t), u2(t), and u3(t).Question 2Use KVL to determine the phasor voltage Vx in the circuit below.Question 3For the circuits in the following figure, compute the indicated phasor currents assuming R = 2 Ω and L = 4 mH, and C = 1 mF. If ω = 500 rad/sec, determine the associated time function.Question 4Find the phasor currents IR, IC, IL, and Iin, and then determine iin(t) for the circuit of the following figure in which R = 1 kΩ, L = 0.5 H, C = 1 µF, and vin(t) = 20 cos (1000t + 60°) V.!Question 5The circuit below operates at ω = 20,000 rad/sec phasor voltage Vs = 2 V. Find the Thevenin equivalent circuit (in the phasor domain) at terminals A and B. Use this Thevenin equivalent to find the magnitude of the phasor VAB when the 10 mH and 1 kΩ series combination load is connected to A and B.Question 6For the network shown below, a = 20 Ω, ZL = j10 Ω, ZC = –j10 Ω, R = 10 Ω, and phasor Vs = 20 V. Find the phasor current Ix.Question 7The circuit below operates at ω = 2,000 rad/sec and gm = 1.5 mS with phasor voltage Vs = 100 V. Find the Thevenin and Norton equivalent circuits seen at terminals A and B.Question 8Compute the frequency response of the circuit shown below, where R = 100 Ω, L = 10 mH, C = 0.1 mF, and Vout/Iin is the transfer function. Consider ω between 0 to 3000 rad/sec. Use MATLAB or other plotting software to generate the magnitude and phase (in degrees) plots. Make sure that the horizontal axis is logarithmic.
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