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# sp08exam2blank - S pring 2 008 A nalog S ignal Processing E...

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_ _ ECE 2101211 Analog Signal Processing Spring 2008 University of Illinois Basar, Hasegawa-Johnson, Trick Exam 2 Thursday, March l3, 2008 - 7:00-8: 15 PM Name: Section: 9AM 1PM 2PM (circle one) Class: ECE 210 ECE 211 (circle one) Please clearly PRlNT 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) __ 0 .' Problem 4 (25 points) _ __ _ Total (100 points) _ _ _ _

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Problem 1 (25 points) a) Given v(t)= 5 + 3 cos wot + 3 sin wot = 5 + V p cos (wot + 8) i) Find V p and 8. Vp = 1 ,- ----, 8=1 L-- _ ii) Find the average power delivered to the 1 n resistor for the above voltage.
___________________ _ Problem 1 (continued) b) Given that + + and ZT = 25 + j50. i) What is the maximum available average power to the load ZL? ii) Your friend, John Einstein, claims that maximum power is absorbed by load when it is tenninated as shown with a 125 n resistor in parallel with a capacitance with

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sp08exam2blank - S pring 2 008 A nalog S ignal Processing E...

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