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hw5_f08_soln

# hw5_f08_soln - EECE 519 Homework 5(Due Thursday March 6 1...

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EECE 519 Homework 5 (Due Thursday, March 6) 1. Using mesh current analysis, determine the currents I 1 and I 2 . - + 15 negationslash 0 o V 100Ω - j 2000 3 Ω j 750Ω 75Ω I 1 I 2 Mesh 1: 15 negationslash 0 o - 100 I 1 - ( - j 666 . 7)( I 1 - I 2 ) = 0 Mesh 2: - ( - j 666 . 7)( I 2 - I 1 ) - j 750 I 2 - 75 I 2 = 0 Solving we get, I 1 = 3 . 3 negationslash 52 . 7 o mA, I 2 = 19 . 6 negationslash - 85 . 3 o mA 2. Solve for the voltages V 1 and V 2 using node-voltage analysis if i s ( t ) = 40 cos 100 tA . i s ( t ) 10Ω 500 μF 0 . 2 H 40Ω V 1 V 2 Z L = j (100)0 . 2 = j 20Ω , Z C = - j 1 100 × 500 × 10 - 6 = - j 20Ω Node1: - 40 negationslash 0 o + V 1 10 + V 1 V 2 j 20 = 0 , (2 + j 1) V 1 - jV 2 = 40 Node2: V 2 V 1 j 20 + V 2 40 + V 2 j 20 = 0 , 2 jV 1 - V 2 = 0 Solving, V 1 = 188 . 24 - j 47 . 06 = 194 negationslash - 14 . 04 o V, V 2 = 96 . 12+ j 376 . 47 = 388 negationslash 75 . 96 o V v 1 ( t ) = 194 cos(100 t - 14 . 04 o ) V, v 2 ( t ) = 388 cos(100 t + 75 . 96 o ) V 3. Find the Thevenin and Norton equivalent circuits with respect to terminals a,b. a b - + 24 negationslash 0 o V j 2 negationslash
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