SolutionsExamOne2040Spr05

SolutionsExamOne2040Spr05 - SOLUTIONS First Exam Circuit...

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SOLUTIONS First Exam Circuit Analysis ECE2040 Spring 2005 Ingram Name:________________________________________ INSTRUCTIONS: 1. Closed book, one page, front and back, of notes, calculator allowed. 2. Write answers on answer sheets, one side only, in order. 3. Staple answer sheets to back of this test (include this sheet). 4. 1hour and 20 minutes will be allowed for the exam. Problem Worth Grade 1 20 2 20 3a 15 3b 20 3c 10 3d 15 Total 100
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1. Analyze the circuit below using the mesh current analysis method . Give your solution for the mesh currents in terms of matrices and vectors. You do not have to perform the matrix inverse, but you need to have all matrix and vector elements clearly identified. Source equation: A i 9 3 = Mesh 1: () ( ) ( ) ()( ) ( ) 0 60 40 130 0 60 40 60 40 30 3 2 1 3 2 1 = + + = + + + + i i i i i i Mesh 2: ( ) ( ) 12 80 40 0 12 20 40 20 40 2 1 2 1 = + = + + + + i i i i Therefore the matrix equation is: = 9 12 0 1 0 0 0 80 40 60 40 130 3 2 1 i i i 30 Ω 20 Ω 60 Ω 40 Ω 12V 20 Ω 9A 50 Ω 60
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SolutionsExamOne2040Spr05 - SOLUTIONS First Exam Circuit...

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