Exam 2 equation sheet phillips

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

This preview shows pages 1–2. Sign up to view the full content.

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.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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.

Page1 / 2

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online