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Unformatted text preview: 1 EECS 215 Exam 2 Equation Sheet – (McAfee) First Order Circuits [ SourceFree ] Sourcefree RC [ v s (t) = 0 ] Sourcefree RL [ v s (t) = 0 ] C v C + R L i L R τ t C RC t C C e v e v t v − − = = ) ( ) ( ) ( τ t L L tR L L e i e i t i − − = = ) ( ) ( ) ( First Order Circuits [ StepResponse ] Step response RC [ v s (t) = V S u(t) ] Step Response series RL [ v s (t) = V S u(t) ] v s (t) C v C + R L i L R v s (t) ( ) RC t S C S C e V v V t v − − + = ) ( ) ( L tR S L S L e R V i R V t i − − + = ) ( ) ( Step Response parallel RL [ i s (t) = I S u(t) ] i L i S (t) R L ( ) L tR S L S L e I i I t i − − + = ) ( ) ( 2 Second Order Circuits [ SourceFree ] Sourcefree Series RLC [ v s (t)=0 ] (or natural response for series RLC) Sourcefree Parallel RLC [ v s (t)=0 ] (or natural response for parallel RLC) C R L i L R C v + Differential Equation: 2 2 2 2 = + + = + + L L L C C C i dt di RC dt i d LC v dt dv RC dt v d LC Differential Equation: 2 2 2...
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This note was uploaded on 04/04/2008 for the course EECS 215 taught by Professor Phillips during the Winter '08 term at University of Michigan.
 Winter '08
 Phillips

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