EE411_HW12_Soln - . 5 0721 . 1 2 2 ) 16 10 ( 12 8 10 2 8 12...

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EE411 Circuit Theory, HW 12 Prof. R. Gharpurey Due Date: Apr. 27, 2010 Ans:We put a test voltage between ab and turn off all the independent sources. Suppose the current flowing through the j6-Ω inductor is i 1 and the current flowing through the j8-Ω inductor is i 2 , then we have ) 3 2 ( 2 8 5 2 6 2 1 2 1 2 1 j i j i j i v i j i j i v t t × + × + × = × + × + × = Solve for i 1 and i 2 t t v j i v j i ) 1532 . 0 0418 . 0 ( ) 0751 . 0 0486 . 0 ( 2 1 = = So 7857 . 3 5 . 1 2 1 j i i v Z t TH + = + =
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V TH can be found by superposition ( ) ( ) ( ) ( ) o j TH j j j j j j j j j j j j j j j e V o 1145 . 34 349 . 5 2 8 3 2 2 6 5 2 6 5 8 2 8 3 2 2 6 5 2 8 3 2 10 90 = + + + + × + + + + + × = Ans:(a) Use superposition, we have o j j o j j j j e j j e I j j e j j e I o o o o 1316 . 174 5361 . 0 2 8 12 10 16 16 2 1 2 ) 16 10 ( 12 8 10 6864
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Unformatted text preview: . 5 0721 . 1 2 2 ) 16 10 ( 12 8 10 2 8 12 10 16 16 2 60 2 30 2 2 30 2 60 1 = + + + + + = = + + + + + + = (b) Use superposition, we have o j j o j j j j e j j e I j j e j j e I o o o o 9704 . 24 3123 . 2 8 12 10 16 16 2 1 2 ) 16 10 ( 12 8 10 9704 . 24 6247 . 2 2 ) 16 10 ( 12 8 10 2 8 12 10 16 16 2 60 2 30 2 2 30 2 60 1 = + + + + + + = = + + + + + =...
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EE411_HW12_Soln - . 5 0721 . 1 2 2 ) 16 10 ( 12 8 10 2 8 12...

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