ece210-exam3.pdf

# ece210-exam3.pdf - University of Illinois at Chicago Spring...

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ECE 210 Electrical Circuit Analysis Exam #3 University of Illinois at Chicago Spring 2016 Name: Lab: T8 T2 W2 Th8 Th2 F8 First Order Circuits v C ( t ) = v C ( ) + [ v C (0 + ) - v C ( )] e - t/τ , τ = CR th i L ( t ) = i L ( ) + [ i L (0 + ) - i L ( )] e - t/τ , τ = L/R th Time-Domain Components s -domain Impedances R R L sL C 1 sC One-sided Laplace Transform Pairs, x ( t ) ←→ X ( s ) δ ( t ) ←→ 1 u ( t ) ←→ 1 s e - at u ( t ) ←→ 1 s + a cos( ω 0 t ) u ( t ) ←→ s s 2 + ω 2 0 sin( ω 0 t ) u ( t ) ←→ ω 0 s 2 + ω 2 0 Prof. Vahe Caliskan 1 of 6 Posted: April 21, 2016

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ECE 210 Electrical Circuit Analysis Exam #3 University of Illinois at Chicago Spring 2016 Problem 1 (12 points) The switch has been in position A for a long time. At t = 0, the switch is moved to position B . Determine the capacitor voltage v C ( t ) and sketch it for all time. Make sure you find v C (0 - ), v C (0 + ), v C ( ) and τ . + + - - A B 30V 3A 10Ω 15Ω 1 18 F v C ( t ) Prof. Vahe Caliskan 2 of 6 Posted: April 21, 2016
ECE 210 Electrical Circuit Analysis Exam #3 University of Illinois at Chicago Spring 2016 Problem 2 (12 points)

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• Fall '10
• Electrical impedance, Thévenin's theorem, Norton's theorem, electrical circuit analysis

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