20095ee110_1_20095ee110_1_hw5

20095ee110_1_20095ee110_1_hw5 - EE 110, Fall 2009, Homework...

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EE 110, Fall 2009, Homework #5, Due November 12, 2009 (PSpice Problems are due on November 19, 200) Problem 1: This is a continuation of Problem 1 from Homework #4. (a) What is the transfer function H(s) = V ds (s)/V in (s)? (b) Identify the poles and zeros of H(s) on a pole-zero plot. Is this BIBO stable? (c) Sketch the magnitude and phase responses of H(s) using Bode plots. (d) Compute the steady state component of v ds (t) by evaluating H(s). (5 + 5 + 5 + 5 = 20 points) Problem 2: Refer to Figure 1 for this problem. It is ob- served that the input and output voltages of the linear elec- trical network in Figure 3 are related as follows:     1 t o i t v t v d   Assume that v i ( t ), v o ( t ), and all the voltages and currents in the network are zero for t < 0. (a) What is the impulse response h ( t )? (b) What is the transfer function H ( s ) = V o ( s )/ V i ( s )? (c) Sketch the magnitude response, |H(j )|, and phase response, angle(H(j )). (d) If v i ( t ) = sin(2 t)u(t), what is the steady state component of v o ( t )? (4 + 4 + 8 + 4 = 20 points)
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