quiz3solutions - EE302, Intro to Elec & Computer...

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EE302, Intro to Elec & Computer Engineering – Quiz 3 - Solutions There were two versions of each problem with a slight difference. Yours should be shown below. Problem 1 (25 points) Determine voltages v 1 through v 3 in the circuit below. Show your work below. Put your answers on the last page in the slots provided. Note that the S (Siemens) in the diagram refers to conductances which are reciprocals of resistances. Chapter 3, Solution 16. At the supernode, 2 = v 1 + 2 (v 1 - v 3 ) + 8(v 2 – v 3 ) + 4v 2 , which leads to 2 = 3v 1 + 12v 2 - 10v 3 (1) But v 1 = v 2 + 2v 0 and v 0 = v 2 . Hence v 1 = 3v 2 (2) v 3 = 13V (3) Substituting (2) and (3) with (1) gives, v 1 = 18.858 V , v 2 = 6.286 V , v 3 = 13 V 2 A v 3 v 2 v 1 8 S 4 S 1 S i 0 + 13 V 2 S + v 0
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EE302, Intro to Elec & Computer Engineering – Quiz 3 - Solutions There were two versions of each problem with a slight difference. Yours should be shown below. Problem 1 (25 points) Determine voltages v 1 through v 3 in the circuit below. Show your work below. Put your answers on the last page in the slots provided. Note that the S (Siemens) in the diagram refers to conductances which are reciprocals of resistances. Chapter 3, Solution 16. (modified) At the supernode, 3 = v 1 + 2 (v 1 - v 3 ) + 8(v 2 – v 3 ) + 4v 2 , which leads to 3 = 3v 1 + 12v 2 - 10v 3 (1) But v 1 = v 2 + 2v
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quiz3solutions - EE302, Intro to Elec & Computer...

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