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Unformatted text preview: ECE 210/211 Analog Signal Processing Spring 2010
University of Illinois Basar, Beauchamp, Peck Exam 1 Thursday, February 18, 2010 — 7:008:15 PM Name: Section:
circle one Class: ECE 210 ECE 211
circle one Please clearly PRINT your name IN CAPITAL LETTERS and circle your section in the boxes above. This is a closed book and closed notes exam. Calculators are not allowed. Please show all your work.
Backs of pages may be used for scratch work if necessary. All answers should include units wherever appropriate.
Problem 1 (25 points)
Problem 2 (25 points)
Problem 3 (25 points) Problem 4 (25 points) Total (100 points) Problem 1 (25 points) (a) Find (b) For the following circuit: (i) Find 10. (ii) Find the injected or absorbed power by 2A independent current source. Injected Absorbed
P = (c) For the following circuit, ﬁnd the value of RLwhich will maximize the power absorbed (d) A circuit is described by ‘21—: +2y(t)= 10 y(0) =2 (i) What is the zero input solution? 3'21“) = (ii) What is the zero state solution? 3’13“) : Problem 2 (25 points) Analyze the following bridge circuit (a) The terminal vl and v2 are open. Calculate vl, v2, and vet. V: v =
v = (b) The terminals v1 and v2 are shorted together calculate i1, i2 , i3, i4 , and isc.
i‘ = ..
II (c) Compute the Thevenin resistance of the circuit between a and b. RT: (d) Draw and label Thevenin and Norton equivalent circuits between a and b. Problem 3 (25 points) Consider the following op—amp circuit. 15k (a) Find v_, i1, i2, i3, i0,and vL. (b) If you connect RL = 5k!) between a and b, what is vL and i0 ? n—n. —. _' ll Problem 4 (25 points) Consider the circuit below 30 9v 9H The switch is open for a long time and the circuit is at the steady state. At t = O, the switch is
closed. (a) Find i(O), i(0+), v(O—) and v(0+). i(0) =
i(0+) =
v(O—) = v(0+) = (b) What is the time constant ‘C for t > O of this circuit? (c) What is v(t), t > O ? W) = ...
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 The Circuit, Thévenin's theorem, Norton's theorem, A Closed Book, Signal Processing Spring

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