Exam 2 equation sheet phillips

Exam 2 equation sheet phillips - EECS 215 Exam 2 Equation...

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EECS 215 Exam 2 Equation Sheet (Phillips) First Order Circuits Source-free RC ( v s =0) Source-free RL ( v s =0) C v C + - R L i L R τ t C RC t C C e v e v t v = = ) 0 ( ) 0 ( ) ( t L L tR L L e i e i t i = = ) 0 ( ) 0 ( ) ( Step response RC ( v s =V S u(t)) Step response RL ( v s =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 + = ) 0 ( ) ( () RC t C C C C e v v v t v + = ) ( ) 0 ( ) ( ) ( L tR S L S L e R V i R V t i + = ) 0 ( ) ( ( ) L tR L L L L e i i i t i + = ) ( ) 0 ( ) ( ) ( General procedure for first order circuits: 1) Find Thevenin/Norton equivalent 2) Determine time constant (R eq C or L/R eq ) 3) Determine initial value for capacitor or inductor. 4) Determine forced solution. For step response, this is the final value. For time dependent input, use trial function in differential equation and determine unknown constants. Apply initial/boundary condition to determine unknown constant.
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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.

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Exam 2 equation sheet phillips - EECS 215 Exam 2 Equation...

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