# exam2 W05 - EECS 314 Winter 2005 Exam 3 Solutions...

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EECS 314 // Winter 2005 // Exam 3 // Solutions Alexander Ganago Page 3 of 25 April 6 – 19, 2005 2 (Contributed by Philip Choi) This circuit is given the following input: Which output plot is most appropriate? A. B. CORRECT C. D. E. None of the above Answer: The circuit is an integrator, so B is the only appropriate graph.
EECS 314 // Winter 2005 // Exam 3 // Solutions Alexander Ganago Page 6 of 25 April 6 – 19, 2005 5 (Contributed by Rob Bai) Differentiator/Integrator Given Vin = 10cos(2t) for t >= 0, find Vo as a function of t, for t >= 0. Assume the capacitor is initially discharged. R = 1M Ω , C = 1μF. a. Vo = -20sin(2t) b. Vo = 5sin(2t) c. Vo = -5sin(2t) d. Vo = 20sin(2t) e. None of the above. Solution: By inspection, the circuit above is a differentiator. d dt 10 " cos(2 t ) = 10 " 2 " ( # sin(2 t )) = # 20 " sin(2 t ) Combine the two equations above and obtain (since minus one by minus one makes plus one): Vo = 20sin(2t) So, the answer is D.

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EECS 314 // Winter 2005 // Exam 3 // Solutions Alexander Ganago Page 7 of 25 April 6 – 19, 2005 6 (Contributed by Rob Bai) The following circuit is a
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exam2 W05 - EECS 314 Winter 2005 Exam 3 Solutions...

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