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TEST4_2008-soln

# TEST4_2008-soln - Engr 260 Test 4 Spring 2008 Name_SOLUTION...

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Engr 260 – Test 4 Spring 2008 Name: ___SOLUTION ________ PART 2. Solve each Problems 1-4 completely, then solve either Problem 5a or 5b. 1. For the circuit shown: a. Determine the equivalent impedance as seen by the voltage source. b. Determine the current through the voltage source. 2. Using nodal analysis, determine V x . Let V o be the voltage across the current source. Using nodal analysis we get: 0 10 3 20 4 = + + j V V V V o x o x 0 10 20 0 = + j V V V X O X Solve for Vx: o x V 10 j 20 20 V + =

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Combining these we get: 30 j 60 V ) 3 5 . 0 j 1 ( 0 10 j 20 V 3 10 j 20 V 4 20 V o o o o + = + = + + + = + = + + = 5 . 0 j 2 ) 3 ( 20 V or 5 . 0 j 2 30 j 60 V x o 29.11 –166° V . 3. For the circuit shown, a) Find the current I o . b) Find the power factor of the circuit? Is it leading or lagging ? c) Find the apparent, real and reactive power delivered by the source. a) 80(100 40) 50 80//(100 40) 50 105.71 57.93 100 40 in jj Zj j j j =+ = + + 60 0 0.4377 0.2411 0.4997 28.85 A o o o in I Z < == = < = 499.7 –28.85° mA 4. For the circuit: a. Determine the Thèvenin equivalent circuit with respect to terminals a-b. b. Find the impedance of the load Z L for maximum average power. c. Find the maximum power received by this load.

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TEST4_2008-soln - Engr 260 Test 4 Spring 2008 Name_SOLUTION...

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