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ELECTRIC CIRCUITS ECSE2010 Spring 2003 Class 39

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COMPLETE TIME RESPONSE. There is Stored Energy at t = 0- = Have Initial Conditions ... COMPLETE TIME RESPONSE. Now do one on your own: Activity 39-2: ACTIVITY ... – PowerPoint PPT presentation

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Title: ELECTRIC CIRCUITS ECSE2010 Spring 2003 Class 39


1
ELECTRIC CIRCUITSECSE-2010Spring 2003 Class 39

2
ASSIGNMENTS DUE
  • Today (Thursday)
  • Experiment 9 Report Due
  • Activities 39-1, 39-2 (In Class)
  • Next Monday
  • Homework 14 Due
  • Experiment 10 Report Due
  • Computer Project 5 Report Due
  • Activity 40-1, Experiment 11 (In Class)
  • Preparation Needed for Experiment 11
  • Next Tuesday/Wednesday
  • Review for Final Exam

3
FINAL EXAM
  • Wednesday, May 7
  • 8 - 11 am
  • Sage 3303 for All Sections
  • 2-8 1/2 x 11 inch Crib Sheets
  • Laplace Tables Will Be Included with the Final
    Exam
  • Students with Conflicts should Notify Prof.
    Jennings (jenniw_at_rpi.edu)

4
LAPLACE TRANSFORMS
5
REVIEW
  • Laplace Transforms

6
S-DOMAIN CIRCUIT ANALYSIS
7
CIRCUIT ELEMENTS IN S-DOMAIN
8
WITH NO INITIAL STORED ENERGY
9
ZERO STATE RESPONSE
  • Zero State Response y(t) when the
    Circuit/System has No Initial Stored Energy (Ckt
    starts from a Zero State)
  • gt x(t) 0 for all t lt 0
  • gt All Initial Conditions 0
  • Y(s) H(s) X(s)
  • y(t) yN(t) yF(t)
  • Almost All Circuits/Systems!

10
NETWORK FUNCTIONS
11
REVIEW
  • Initial and Final Value Theorems

12
COMPLETE TIME RESPONSE
  • There is Stored Energy at t 0-
  • gtHave Initial Conditions
  • Input x(t) for t gt 0 Can be anything
  • Output y(t) Complete Time Response
  • Use s-domain circuit with fictitious sources in
    models for C L
  • Input Lx(t) Tables
  • Find Y(s) using s-domain Ckt Analysis
  • y(t) L-1 Y(s) PFE Tables, or MAPLE

13
INITIAL CONDITIONS
  • Will practice using Laplace Transforms with
    Initial Conditions by doing Activity 39-1
    together and then you do Activity 39-2 on your
    own
  • Last look at Laplace Transforms

14
ACTIVITY 39-1
15
ACTIVITY 39-1
16
COMPLETE TIME RESPONSE
  • Now do one on your own
  • Activity 39-2

17
ACTIVITY 39-2
18
EXPERIMENT 11
19
EXPERIMENT 11
  • Sallen-Key Bandpass Filter
  • Use Equations Given in Preparation for Experiment
    11 to design an Active Sallen-Key Bandpass Filter
  • Want f0 10 KHz, B 2 kHz and K 2
  • Show that R1 36.2 k, R2 5.49 k and R3 11.0
    k.
  • Find Locations for Poles with R2 4.6 k
  • Will Build this Filter on Monday

20
COURSE SURVEY
  • IDEA Form
  • Comments on Separate Form
  • ECSE-2010-Section Number
  • Section 01 MTR 10-12 (Prof. Millard)
  • Section 02 MWR 4-6 (Prof. Jennings)
  • Section 03 MTR 2-4 (Prof. Nagy)
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