ECE 2100 Circuit Analysis
|
|
- Miranda Easter Harvey
- 5 years ago
- Views:
Transcription
1 ECE 1 Circui Analysis Lesson 37 Chaper 8: Second Order Circuis Discuss Exam Daniel M. Liynski, Ph.D.
2 Exam CH 1-4: On Exam 1; Basis for work CH 5: Operaional Amplifiers CH 6: Capaciors and Inducor CH 7-8: Laer CH 9: Sinusoids and Phasors CH 1: Sinusoidal Seady Sae CH 11: AC Power Analysis
3 Pracice Exam Topics Sinusoid and Phasor Basics Impedance concep Operaional Amplifiers RLC AC circui conceps AC power ransfer and load maching Circui Theorems in AC circui analysis 3
4 Exam Prep Tex - Chaper summaries Tex Chaper review quesions HW Topics covered Class Noes commens and examples 4
5 Exam Forma (Tenaive) Approx 5 problems One shor answers OpAmp AC Circui Analysis AC power 5
6 ECE 1 Circui Analysis Chaper 8 Second-Order Circuis Copyrigh The McGraw-Hill Companies, Inc. Permission required for reproducion or display. 6
7 8.1 Examples of Second Order RLC circuis (1) Wha is a nd order circui? A second-order circui is characerized by a secondorder differenial equaion. I consiss of resisors and he equivalen of wo energy sorage elemens. RLC Series RLC Parallel RL T-config RC Pi-config 7
8 8. Finding Iniial and Final Values Finding Iniial and Final Values of v(), i(), dv()/, di()/, v( ), i( ) 8
9 8. Finding Iniial and Final Values Key Poins for Finding Iniial and Final Values: 1. Polariy of v() and i() using passive sign convenion (see Figs. 6.3 & 6.3). Capacior volage is always coninuous so v( + ) = v( - ) for swich a = 3. Inducor curren is always coninuous so i( + ) = i( - ) for swich a = 9
10 8. Finding Iniial and Final Values Example 8.1: The swich in Fig. 8. has been closed for a long ime. I is opened a =. Find: (a) v( + ), i( + ), (b) dv( + )/, di( + )/, (c) v( ), i( ) 1
11 8. Finding Iniial and Final Values Example 8.: In he circui of Fig. 8.5, calculae: (a) i L ( + ), v C ( + ), v R ( + ), (b) di L ( + )/, dv C ( + )/, dv R ( + )/, (c) i L ( ), v C ( ), v R ( ) 11
12 8.3 Source-Free Series RLC Circuis (1) The soluion of he source-free series RLC circui is called as he naural response of he circui. The circui is excied by he energy iniially sored in he capacior and inducor. The nd order of expression d i R L di i LC How o derive and how o solve? 1
13 8.3 Source-Free Series RLC Circuis () Mehod is illusraed on pp of exbook (review) 13
14 8.3 Source-Free Series RLC Circuis (3) There are hree possible soluions for he following nd order differenial equaion: d i R L di i LC d i di => i General nd order Form where R and 1 L LC The ypes of soluions for i() depend on he relaive values of and 14
15 8.3 Source-Free Series RLC Circuis (4) There are hree possible soluions for he following nd order differenial equaion: d i di i 1. If > o, over-damped case s1 s i( ) A1 e Ae where s 1,. If = o, criical damped case ( ) ( A A 1 e where s 1, i ) 3. If < o, under-damped case i( ) e ( B1 cos B sin ) where d 15
16 Example Source-Free Series RLC Circuis (5) If R = 1 Ω, L = 5 H, and C = mf in Fig. 8.8, find α, ω, s 1 and s. Wha ype of naural response will he circui have? Pracice Problem
17 Example 8.3 Source-Free Series RLC Circuis (6) The circui shown below has reached seady sae a = -. If he make-before-break swich moves o posiion b a =, calculae i() for >. Pracice Problem 8.4. Please refer o lecure or exbook for more deailed elaboraion. Answer: i() = e.5 [5cos sin1.6583] A 17
18 8.4 Source-Free Parallel RLC Circuis (1) Le 1 v( ) i( ) I L v() = V Apply KCL o he op node: v R 1 L v C dv Taking he derivaive wih respec o and dividing by C The nd order of expression d v 1 RC dv 1 LC v 18
19 8.4 Source-Free Parallel RLC Circuis () There are hree possible soluions for he following nd order differenial equaion: d v dv 1 1 v where and RC LC 1. If > o, over-damped case s1 s v( ) A1 e A e where s 1,. If = o, criical damped case v ( ) ( A A 1 ) e where s 1, 3. If < o, under-damped case v( ) e ( B1 cos B sin ) where d 19
20 Example Source-Free Parallel RLC Circuis (3) Refer o he circui shown below. Find v() for >. Pracice Problem 8.6 modified. Please refer o lecure or exbook for more deailed elaboraion. Answer: v() = 66.67(e 1 e.5 ) V
21 8.5 Sep-Response Series RLC Circuis (1) The sep response is obained by he sudden applicaion of a dc source. The nd order of expression d v R L dv v LC v s LC The above equaion has he same form as he equaion for source-free series RLC circui. The same coefficiens (imporan in deermining he frequency parameers). Differen circui variable in he equaion. 1
22 8.5 Sep-Response Series RLC Circuis () The soluion of he equaion should have wo componens: he ransien response v () & he seady-sae response v ss (): v( ) v ( ) v ( ) The ransien response v is he same as ha for source-free case v s1 s ( ) A1 e Ae (over-damped) v ( ) ( A1 A ) e (criically damped) v ( ) e ( A1 cos A sin ) ss (under-damped) The seady-sae response is he final value of v(). v ss () = v( ) The values of A 1 and A are obained from he iniial condiions: v() and dv()/.
23 8.5 Sep-Response Series RLC Circuis (3) Example 4 Having been in posiion for a long ime, he swich in he circui below is moved o posiion b a =. Find v() and v R () for >. Pracice Problem 8.7. Please refer o lecure or exbook for more deailed elaboraion. Answer: v() = {1 + [( cos sin3.464)e ]} V v R ()= [.31sin3.464]e V 3
24 8.6 Sep-Response Parallel RLC Circuis (1) The sep response is obained by he sudden applicaion of a dc source. The nd order of expression d i 1 RC di i LC Is LC I has he same form as he equaion for source-free parallel RLC circui. The same coefficiens (imporan in deermining he frequency parameers). Differen circui variable in he equaion. 4
25 8.6 Sep-Response Parallel RLC Circuis () The soluion of he equaion should have wo componens: he ransien response v () & he seady-sae response v ss (): i( ) i ( ) i ( ) The ransien response i is he same as ha for source-free case i s1 s ( ) A1 e Ae (over-damped) i ( ) ( A1 A ) e (criical damped) i ( ) e ( A1 cos A sin ) ss (under-damped) The seady-sae response is he final value of i(). i ss () = i( ) = I s The values of A 1 and A are obained from he iniial condiions: i() and di()/. 5
26 8.6 Sep-Response Parallel RLC Circuis (3) Example 5 Find i() and v() for > in he circui shown below: Pracice Problem 8.8 modified. Please refer o lecure or exbook for more deail elaboraion. Answer: v() = Ldi/ = 5xsin = 1sin V 6
ECE 2100 Circuit Analysis
ECE 1 Circui Analysis Lesson 35 Chaper 8: Second Order Circuis Daniel M. Liynski, Ph.D. ECE 1 Circui Analysis Lesson 3-34 Chaper 7: Firs Order Circuis (Naural response RC & RL circuis, Singulariy funcions,
More informationEE202 Circuit Theory II , Spring. Dr. Yılmaz KALKAN & Dr. Atilla DÖNÜK
EE202 Circui Theory II 2018 2019, Spring Dr. Yılmaz KALKAN & Dr. Ailla DÖNÜK 1. Basic Conceps (Chaper 1 of Nilsson - 3 Hrs.) Inroducion, Curren and Volage, Power and Energy 2. Basic Laws (Chaper 2&3 of
More informationChapter 7 Response of First-order RL and RC Circuits
Chaper 7 Response of Firs-order RL and RC Circuis 7.- The Naural Response of RL and RC Circuis 7.3 The Sep Response of RL and RC Circuis 7.4 A General Soluion for Sep and Naural Responses 7.5 Sequenial
More informationVoltage/current relationship Stored Energy. RL / RC circuits Steady State / Transient response Natural / Step response
Review Capaciors/Inducors Volage/curren relaionship Sored Energy s Order Circuis RL / RC circuis Seady Sae / Transien response Naural / Sep response EE4 Summer 5: Lecure 5 Insrucor: Ocavian Florescu Lecure
More informationEEEB113 CIRCUIT ANALYSIS I
9/14/29 1 EEEB113 CICUIT ANALYSIS I Chaper 7 Firs-Order Circuis Maerials from Fundamenals of Elecric Circuis 4e, Alexander Sadiku, McGraw-Hill Companies, Inc. 2 Firs-Order Circuis -Chaper 7 7.2 The Source-Free
More informationLecture 13 RC/RL Circuits, Time Dependent Op Amp Circuits
Lecure 13 RC/RL Circuis, Time Dependen Op Amp Circuis RL Circuis The seps involved in solving simple circuis conaining dc sources, resisances, and one energy-sorage elemen (inducance or capaciance) are:
More informationR.#W.#Erickson# Department#of#Electrical,#Computer,#and#Energy#Engineering# University#of#Colorado,#Boulder#
.#W.#Erickson# Deparmen#of#Elecrical,#Compuer,#and#Energy#Engineering# Universiy#of#Colorado,#Boulder# Chaper 2 Principles of Seady-Sae Converer Analysis 2.1. Inroducion 2.2. Inducor vol-second balance,
More information(b) (a) (d) (c) (e) Figure 10-N1. (f) Solution:
Example: The inpu o each of he circuis shown in Figure 10-N1 is he volage source volage. The oupu of each circui is he curren i( ). Deermine he oupu of each of he circuis. (a) (b) (c) (d) (e) Figure 10-N1
More informationCHAPTER 6: FIRST-ORDER CIRCUITS
EEE5: CI CUI T THEOY CHAPTE 6: FIST-ODE CICUITS 6. Inroducion This chaper considers L and C circuis. Applying he Kirshoff s law o C and L circuis produces differenial equaions. The differenial equaions
More information2.4 Cuk converter example
2.4 Cuk converer example C 1 Cuk converer, wih ideal swich i 1 i v 1 2 1 2 C 2 v 2 Cuk converer: pracical realizaion using MOSFET and diode C 1 i 1 i v 1 2 Q 1 D 1 C 2 v 2 28 Analysis sraegy This converer
More informationINDEX. Transient analysis 1 Initial Conditions 1
INDEX Secion Page Transien analysis 1 Iniial Condiions 1 Please inform me of your opinion of he relaive emphasis of he review maerial by simply making commens on his page and sending i o me a: Frank Mera
More informationHomework-8(1) P8.3-1, 3, 8, 10, 17, 21, 24, 28,29 P8.4-1, 2, 5
Homework-8() P8.3-, 3, 8, 0, 7, 2, 24, 28,29 P8.4-, 2, 5 Secion 8.3: The Response of a Firs Order Circui o a Consan Inpu P 8.3- The circui shown in Figure P 8.3- is a seady sae before he swich closes a
More informationFirst Order RC and RL Transient Circuits
Firs Order R and RL Transien ircuis Objecives To inroduce he ransiens phenomena. To analyze sep and naural responses of firs order R circuis. To analyze sep and naural responses of firs order RL circuis.
More informationChapter 9 Sinusoidal Steady State Analysis
Chaper 9 Sinusoidal Seady Sae Analysis 9.-9. The Sinusoidal Source and Response 9.3 The Phasor 9.4 pedances of Passive Eleens 9.5-9.9 Circui Analysis Techniques in he Frequency Doain 9.0-9. The Transforer
More informationES 250 Practice Final Exam
ES 50 Pracice Final Exam. Given ha v 8 V, a Deermine he values of v o : 0 Ω, v o. V 0 Firs, v o 8. V 0 + 0 Nex, 8 40 40 0 40 0 400 400 ib i 0 40 + 40 + 40 40 40 + + ( ) 480 + 5 + 40 + 8 400 400( 0) 000
More information8. Basic RL and RC Circuits
8. Basic L and C Circuis This chaper deals wih he soluions of he responses of L and C circuis The analysis of C and L circuis leads o a linear differenial equaion This chaper covers he following opics
More informationChapter 8 The Complete Response of RL and RC Circuits
Chaper 8 The Complee Response of RL and RC Circuis Seoul Naional Universiy Deparmen of Elecrical and Compuer Engineering Wha is Firs Order Circuis? Circuis ha conain only one inducor or only one capacior
More informationEECE251. Circuit Analysis I. Set 4: Capacitors, Inductors, and First-Order Linear Circuits
EEE25 ircui Analysis I Se 4: apaciors, Inducors, and Firs-Order inear ircuis Shahriar Mirabbasi Deparmen of Elecrical and ompuer Engineering Universiy of Briish olumbia shahriar@ece.ubc.ca Overview Passive
More informationChapter 2: Principles of steady-state converter analysis
Chaper 2 Principles of Seady-Sae Converer Analysis 2.1. Inroducion 2.2. Inducor vol-second balance, capacior charge balance, and he small ripple approximaion 2.3. Boos converer example 2.4. Cuk converer
More informationBasic Circuit Elements Professor J R Lucas November 2001
Basic Circui Elemens - J ucas An elecrical circui is an inerconnecion of circui elemens. These circui elemens can be caegorised ino wo ypes, namely acive and passive elemens. Some Definiions/explanaions
More informationEE202 Circuit Theory II
EE202 Circui Theory II 2017-2018, Spring Dr. Yılmaz KALKAN I. Inroducion & eview of Fir Order Circui (Chaper 7 of Nilon - 3 Hr. Inroducion, C and L Circui, Naural and Sep epone of Serie and Parallel L/C
More informationCHAPTER 7: SECOND-ORDER CIRCUITS
EEE5: CI RCUI T THEORY CHAPTER 7: SECOND-ORDER CIRCUITS 7. Inroducion Thi chaper conider circui wih wo orage elemen. Known a econd-order circui becaue heir repone are decribed by differenial equaion ha
More informationElectrical Circuits. 1. Circuit Laws. Tools Used in Lab 13 Series Circuits Damped Vibrations: Energy Van der Pol Circuit
V() R L C 513 Elecrical Circuis Tools Used in Lab 13 Series Circuis Damped Vibraions: Energy Van der Pol Circui A series circui wih an inducor, resisor, and capacior can be represened by Lq + Rq + 1, a
More informationLab 10: RC, RL, and RLC Circuits
Lab 10: RC, RL, and RLC Circuis In his experimen, we will invesigae he behavior of circuis conaining combinaions of resisors, capaciors, and inducors. We will sudy he way volages and currens change in
More informationMEMS 0031 Electric Circuits
MEMS 0031 Elecric Circuis Chaper 1 Circui variables Chaper/Lecure Learning Objecives A he end of his lecure and chaper, you should able o: Represen he curren and volage of an elecric circui elemen, paying
More informationReading from Young & Freedman: For this topic, read sections 25.4 & 25.5, the introduction to chapter 26 and sections 26.1 to 26.2 & 26.4.
PHY1 Elecriciy Topic 7 (Lecures 1 & 11) Elecric Circuis n his opic, we will cover: 1) Elecromoive Force (EMF) ) Series and parallel resisor combinaions 3) Kirchhoff s rules for circuis 4) Time dependence
More informationInductor Energy Storage
School of Compuer Science and Elecrical Engineering 5/5/ nducor Energy Sorage Boh capaciors and inducors are energy sorage devices They do no dissipae energy like a resisor, bu sore and reurn i o he circui
More informationDirect Current Circuits. February 19, 2014 Physics for Scientists & Engineers 2, Chapter 26 1
Direc Curren Circuis February 19, 2014 Physics for Scieniss & Engineers 2, Chaper 26 1 Ammeers and Volmeers! A device used o measure curren is called an ammeer! A device used o measure poenial difference
More informationdv 7. Voltage-current relationship can be obtained by integrating both sides of i = C :
EECE202 NETWORK ANALYSIS I Dr. Charles J. Kim Class Noe 22: Capaciors, Inducors, and Op Amp Circuis A. Capaciors. A capacior is a passive elemen designed o sored energy in is elecric field. 2. A capacior
More informationRC, RL and RLC circuits
Name Dae Time o Complee h m Parner Course/ Secion / Grade RC, RL and RLC circuis Inroducion In his experimen we will invesigae he behavior of circuis conaining combinaions of resisors, capaciors, and inducors.
More information7. Capacitors and Inductors
7. Capaciors and Inducors 7. The Capacior The ideal capacior is a passive elemen wih circui symbol The curren-volage relaion is i=c dv where v and i saisfy he convenions for a passive elemen The capacior
More informationUniversity of Cyprus Biomedical Imaging and Applied Optics. Appendix. DC Circuits Capacitors and Inductors AC Circuits Operational Amplifiers
Universiy of Cyprus Biomedical Imaging and Applied Opics Appendix DC Circuis Capaciors and Inducors AC Circuis Operaional Amplifiers Circui Elemens An elecrical circui consiss of circui elemens such as
More informationTo find the step response of an RC circuit
To find the step response of an RC circuit v( t) v( ) [ v( t) v( )] e tt The time constant = RC The final capacitor voltage v() The initial capacitor voltage v(t ) To find the step response of an RL circuit
More information2.9 Modeling: Electric Circuits
SE. 2.9 Modeling: Elecric ircuis 93 2.9 Modeling: Elecric ircuis Designing good models is a ask he compuer canno do. Hence seing up models has become an imporan ask in modern applied mahemaics. The bes
More informationLAB 5: Computer Simulation of RLC Circuit Response using PSpice
--3LabManualLab5.doc LAB 5: ompuer imulaion of RL ircui Response using Ppice PURPOE To use a compuer simulaion program (Ppice) o invesigae he response of an RL series circui o: (a) a sinusoidal exciaion.
More informationSection 2.2 Charge and Current 2.6 b) The current direction is designated as the direction of the movement of positive charges.
Chaper Soluions Secion. Inroducion. Curren source. Volage source. esisor.4 Capacior.5 Inducor Secion. Charge and Curren.6 b) The curren direcion is designaed as he direcion of he movemen of posiive charges..7
More information( ) = Q 0. ( ) R = R dq. ( t) = I t
ircuis onceps The addiion of a simple capacior o a circui of resisors allows wo relaed phenomena o occur The observaion ha he ime-dependence of a complex waveform is alered by he circui is referred o as
More informationSection 3.5 Nonhomogeneous Equations; Method of Undetermined Coefficients
Secion 3.5 Nonhomogeneous Equaions; Mehod of Undeermined Coefficiens Key Terms/Ideas: Linear Differenial operaor Nonlinear operaor Second order homogeneous DE Second order nonhomogeneous DE Soluion o homogeneous
More informationMTH Feburary 2012 Final term PAPER SOLVED TODAY s Paper
MTH401 7 Feburary 01 Final erm PAPER SOLVED TODAY s Paper Toal Quesion: 5 Mcqz: 40 Subjecive quesion: 1 4 q of 5 marks 4 q of 3 marks 4 q of marks Guidelines: Prepare his file as I included all pas papers
More information6.2 Transforms of Derivatives and Integrals.
SEC. 6.2 Transforms of Derivaives and Inegrals. ODEs 2 3 33 39 23. Change of scale. If l( f ()) F(s) and c is any 33 45 APPLICATION OF s-shifting posiive consan, show ha l( f (c)) F(s>c)>c (Hin: In Probs.
More informationL1, L2, N1 N2. + Vout. C out. Figure 2.1.1: Flyback converter
page 11 Flyback converer The Flyback converer belongs o he primary swiched converer family, which means here is isolaion beween in and oupu. Flyback converers are used in nearly all mains supplied elecronic
More informationExperimental Buck Converter
Experimenal Buck Converer Inpu Filer Cap MOSFET Schoky Diode Inducor Conroller Block Proecion Conroller ASIC Experimenal Synchronous Buck Converer SoC Buck Converer Basic Sysem S 1 u D 1 r r C C R R X
More informationEE100 Lab 3 Experiment Guide: RC Circuits
I. Inroducion EE100 Lab 3 Experimen Guide: A. apaciors A capacior is a passive elecronic componen ha sores energy in he form of an elecrosaic field. The uni of capaciance is he farad (coulomb/vol). Pracical
More information13.1 Circuit Elements in the s Domain Circuit Analysis in the s Domain The Transfer Function and Natural Response 13.
Chaper 3 The Laplace Tranform in Circui Analyi 3. Circui Elemen in he Domain 3.-3 Circui Analyi in he Domain 3.4-5 The Tranfer Funcion and Naural Repone 3.6 The Tranfer Funcion and he Convoluion Inegral
More informationCHAPTER 12 DIRECT CURRENT CIRCUITS
CHAPTER 12 DIRECT CURRENT CIUITS DIRECT CURRENT CIUITS 257 12.1 RESISTORS IN SERIES AND IN PARALLEL When wo resisors are conneced ogeher as shown in Figure 12.1 we said ha hey are conneced in series. As
More information( ) ( ) if t = t. It must satisfy the identity. So, bulkiness of the unit impulse (hyper)function is equal to 1. The defining characteristic is
UNIT IMPULSE RESPONSE, UNIT STEP RESPONSE, STABILITY. Uni impulse funcion (Dirac dela funcion, dela funcion) rigorously defined is no sricly a funcion, bu disribuion (or measure), precise reamen requires
More informationStructural Dynamics and Earthquake Engineering
Srucural Dynamics and Earhquae Engineering Course 1 Inroducion. Single degree of freedom sysems: Equaions of moion, problem saemen, soluion mehods. Course noes are available for download a hp://www.c.up.ro/users/aurelsraan/
More informationV L. DT s D T s t. Figure 1: Buck-boost converter: inductor current i(t) in the continuous conduction mode.
ECE 445 Analysis and Design of Power Elecronic Circuis Problem Se 7 Soluions Problem PS7.1 Erickson, Problem 5.1 Soluion (a) Firs, recall he operaion of he buck-boos converer in he coninuous conducion
More informationChapter 10 INDUCTANCE Recommended Problems:
Chaper 0 NDUCTANCE Recommended Problems: 3,5,7,9,5,6,7,8,9,,,3,6,7,9,3,35,47,48,5,5,69, 7,7. Self nducance Consider he circui shown in he Figure. When he swich is closed, he curren, and so he magneic field,
More informationChapter 4 DC converter and DC switch
haper 4 D converer and D swich 4.1 Applicaion - Assumpion Applicaion: D swich: Replace mechanic swiches D converer: in racion drives Assumions: Ideal D sources Ideal Power emiconducor Devices 4.2 D swich
More informationSilicon Controlled Rectifiers UNIT-1
Silicon Conrolled Recifiers UNIT-1 Silicon Conrolled Recifier A Silicon Conrolled Recifier (or Semiconducor Conrolled Recifier) is a four layer solid sae device ha conrols curren flow The name silicon
More informationnon-linear oscillators
non-linear oscillaors The invering comparaor operaion can be summarized as When he inpu is low, he oupu is high. When he inpu is high, he oupu is low. R b V REF R a and are given by he expressions derived
More informationChapter 1 Fundamental Concepts
Chaper 1 Fundamenal Conceps 1 Signals A signal is a paern of variaion of a physical quaniy, ofen as a funcion of ime (bu also space, disance, posiion, ec). These quaniies are usually he independen variables
More informationECE-205 Dynamical Systems
ECE-5 Dynamical Sysems Course Noes Spring Bob Throne Copyrigh Rober D. Throne Copyrigh Rober D. Throne . Elecrical Sysems The ypes of dynamical sysems we will be sudying can be modeled in erms of algebraic
More informationdt = C exp (3 ln t 4 ). t 4 W = C exp ( ln(4 t) 3) = C(4 t) 3.
Mah Rahman Exam Review Soluions () Consider he IVP: ( 4)y 3y + 4y = ; y(3) = 0, y (3) =. (a) Please deermine he longes inerval for which he IVP is guaraneed o have a unique soluion. Soluion: The disconinuiies
More informationV(z, t) t < L v. z = 0 z = vt z = L. I(z, t) z = L
W.C.Chew ECE 35 Lecure Noes 12. Transiens on a Transmission Line. When we do no have a ime harmonic signal on a ransmission line, we have o use ransien analysis o undersand he waves on a ransmission line.
More informationChapter 16: Summary. Instructor: Jean-François MILLITHALER.
Chaper 16: Summary Insrucor: Jean-François MILLITHALER hp://faculy.uml.edu/jeanfrancois_millihaler/funelec/spring2017 Slide 1 Curren & Charge Elecric curren is he ime rae of change of charge, measured
More informationCSE 3802 / ECE Numerical Methods in Scientific Computation. Jinbo Bi. Department of Computer Science & Engineering
CSE 3802 / ECE 3431 Numerical Mehods in Scienific Compuaion Jinbo Bi Deparmen of Compuer Science & Engineering hp://www.engr.uconn.edu/~jinbo 1 Ph.D in Mahemaics The Insrucor Previous professional experience:
More informationThe problem with linear regulators
he problem wih linear regulaors i in P in = i in V REF R a i ref i q i C v CE P o = i o i B ie P = v i o o in R 1 R 2 i o i f η = P o P in iref is small ( 0). iq (quiescen curren) is small (probably).
More informationChapter 5-4 Operational amplifier Department of Mechanical Engineering
MEMS08 Chaper 5-4 Operaional amplifier Deparmen of Mechanical Engineering Insrumenaion amplifier Very high inpu impedance Large common mode rejecion raio (CMRR) Capabiliy o amplify low leel signals Consisen
More informationProblem Set #1. i z. the complex propagation constant. For the characteristic impedance:
Problem Se # Problem : a) Using phasor noaion, calculae he volage and curren waves on a ransmission line by solving he wave equaion Assume ha R, L,, G are all non-zero and independen of frequency From
More informationLabQuest 24. Capacitors
Capaciors LabQues 24 The charge q on a capacior s plae is proporional o he poenial difference V across he capacior. We express his wih q V = C where C is a proporionaliy consan known as he capaciance.
More informationi L = VT L (16.34) 918a i D v OUT i L v C V - S 1 FIGURE A switched power supply circuit with diode and a switch.
16.4.3 A SWITHED POWER SUPPY USINGA DIODE In his example, we will analyze he behavior of he diodebased swiched power supply circui shown in Figure 16.15. Noice ha his circui is similar o ha in Figure 12.41,
More informationSome Basic Information about M-S-D Systems
Some Basic Informaion abou M-S-D Sysems 1 Inroducion We wan o give some summary of he facs concerning unforced (homogeneous) and forced (non-homogeneous) models for linear oscillaors governed by second-order,
More informationAC Circuits AC Circuit with only R AC circuit with only L AC circuit with only C AC circuit with LRC phasors Resonance Transformers
A ircuis A ircui wih only A circui wih only A circui wih only A circui wih phasors esonance Transformers Phys 435: hap 31, Pg 1 A ircuis New Topic Phys : hap. 6, Pg Physics Moivaion as ime we discovered
More informationEE 301 Lab 2 Convolution
EE 301 Lab 2 Convoluion 1 Inroducion In his lab we will gain some more experience wih he convoluion inegral and creae a scrip ha shows he graphical mehod of convoluion. 2 Wha you will learn This lab will
More informationChapter 5: Discontinuous conduction mode. Introduction to Discontinuous Conduction Mode (DCM)
haper 5. The isconinuous onducion Mode 5.. Origin of he disconinuous conducion mode, and mode boundary 5.. Analysis of he conversion raio M(,K) 5.3. Boos converer example 5.4. Summary of resuls and key
More informationδ (τ )dτ denotes the unit step function, and
ECE-202 Homework Problems (Se 1) Spring 18 TO THE STUDENT: ALWAYS CHECK THE ERRATA on he web. ANCIENT ASIAN/AFRICAN/NATIVE AMERICAN/SOUTH AMERICAN ETC. PROVERB: If you give someone a fish, you give hem
More information555 Timer. Digital Electronics
555 Timer Digial Elecronics This presenaion will Inroduce he 555 Timer. 555 Timer Derive he characerisic equaions for he charging and discharging of a capacior. Presen he equaions for period, frequency,
More information8.022 (E&M) Lecture 16
8. (E&M) ecure 16 Topics: Inducors in circuis circuis circuis circuis as ime Our second lecure on elecromagneic inducance 3 ways of creaing emf using Faraday s law: hange area of circui S() hange angle
More informationChapter 4 AC Network Analysis
haper 4 A Nework Analysis Jaesung Jang apaciance Inducance and Inducion Time-Varying Signals Sinusoidal Signals Reference: David K. heng, Field and Wave Elecromagneics. Energy Sorage ircui Elemens Energy
More informationU(t) (t) -U T 1. (t) (t)
Prof. Dr.-ng. F. Schuber Digial ircuis Exercise. () () A () - T T The highpass is driven by he square pulse (). alculae and skech A (). = µf, = KΩ, = 5 V, T = T = ms. Exercise. () () A () T T The highpass
More informationDesigning Information Devices and Systems I Spring 2019 Lecture Notes Note 17
EES 16A Designing Informaion Devices and Sysems I Spring 019 Lecure Noes Noe 17 17.1 apaciive ouchscreen In he las noe, we saw ha a capacior consiss of wo pieces on conducive maerial separaed by a nonconducive
More informationChapter 8 The Complete Response of RL and RC Circuits
Chaper 8 he Complee Response of R and RC Ciruis Exerises Ex 8.3-1 Before he swih loses: Afer he swih loses: 2 = = 8 Ω so = 8 0.05 = 0.4 s. 0.25 herefore R ( ) Finally, 2.5 ( ) = o + ( (0) o ) = 2 + V for
More informationComparative study between two models of a linear oscillating tubular motor
IOSR Journal of Elecrical and Elecronics Engineering (IOSR-JEEE) e-issn: 78-676,p-ISSN: 3-333, Volume 9, Issue Ver. IV (Feb. 4), PP 77-83 Comparaive sudy beween wo models of a linear oscillaing ubular
More informationComputer-Aided Analysis of Electronic Circuits Course Notes 3
Gheorghe Asachi Technical Universiy of Iasi Faculy of Elecronics, Telecommunicaions and Informaion Technologies Compuer-Aided Analysis of Elecronic Circuis Course Noes 3 Bachelor: Telecommunicaion Technologies
More informationModule 3: The Damped Oscillator-II Lecture 3: The Damped Oscillator-II
Module 3: The Damped Oscillaor-II Lecure 3: The Damped Oscillaor-II 3. Over-damped Oscillaions. This refers o he siuaion where β > ω (3.) The wo roos are and α = β + α 2 = β β 2 ω 2 = (3.2) β 2 ω 2 = 2
More information8.022 (E&M) Lecture 9
8.0 (E&M) Lecure 9 Topics: circuis Thevenin s heorem Las ime Elecromoive force: How does a baery work and is inernal resisance How o solve simple circuis: Kirchhoff s firs rule: a any node, sum of he currens
More informationIE1206 Embedded Electronics
E06 Embedded Elecronics Le Le3 Le4 Le Ex Ex P-block Documenaion, Seriecom Pulse sensors,, R, P, serial and parallel K LAB Pulse sensors, Menu program Sar of programing ask Kirchhoffs laws Node analysis
More informationSignal and System (Chapter 3. Continuous-Time Systems)
Signal and Sysem (Chaper 3. Coninuous-Time Sysems) Prof. Kwang-Chun Ho kwangho@hansung.ac.kr Tel: 0-760-453 Fax:0-760-4435 1 Dep. Elecronics and Informaion Eng. 1 Nodes, Branches, Loops A nework wih b
More information3. Alternating Current
3. Alernaing Curren TOPCS Definiion and nroducion AC Generaor Componens of AC Circuis Series LRC Circuis Power in AC Circuis Transformers & AC Transmission nroducion o AC The elecric power ou of a home
More information( ) ( ) ( ) () () Signals And Systems Exam#1. 1. Given x(t) and y(t) below: x(t) y(t) (A) Give the expression of x(t) in terms of step functions.
Signals And Sysems Exam#. Given x() and y() below: x() y() 4 4 (A) Give he expression of x() in erms of sep funcions. (%) x () = q() q( ) + q( 4) (B) Plo x(.5). (%) x() g() = x( ) h() = g(. 5) = x(. 5)
More informationdv i= C. dt 1. Assuming the passive sign convention, (a) i = 0 (dc) (b) (220)( 9)(16.2) t t Engineering Circuit Analysis 8 th Edition
. Assuming he passive sign convenion, dv i= C. d (a) i = (dc) 9 9 (b) (22)( 9)(6.2) i= e = 32.8e A 9 3 (c) i (22 = )(8 )(.) sin. = 7.6sin. pa 9 (d) i= (22 )(9)(.8) cos.8 = 58.4 cos.8 na 2. (a) C = 3 pf,
More informationPhysics 1402: Lecture 22 Today s Agenda
Physics 142: ecure 22 Today s Agenda Announcemens: R - RV - R circuis Homework 6: due nex Wednesday Inducion / A curren Inducion Self-Inducance, R ircuis X X X X X X X X X long solenoid Energy and energy
More informationLinear Control System EE 711. Design. Lecture 8 Dr. Mostafa Abdel-geliel
Linear Conrol Sysem EE 7 MIMO Sae Space Analysis and Design Lecure 8 Dr. Mosafa Abdel-geliel Course Conens Review Sae Space SS modeling and analysis Sae feed back design Oupu feedback design Observer design
More informationTimer 555. Digital Electronics
Timer 555 Digial Elecronics This presenaion will Inroduce he 555 Timer. 555 Timer Derive he characerisic equaions for he charging and discharging of a capacior. Presen he equaions for period, frequency,
More informationh[n] is the impulse response of the discrete-time system:
Definiion Examples Properies Memory Inveribiliy Causaliy Sabiliy Time Invariance Lineariy Sysems Fundamenals Overview Definiion of a Sysem x() h() y() x[n] h[n] Sysem: a process in which inpu signals are
More informationLectures 29 and 30 BIQUADRATICS AND STATE SPACE OP AMP REALIZATIONS. I. Introduction
EE-202/445, 3/18/18 9-1 R. A. DeCarlo Lecures 29 and 30 BIQUADRATICS AND STATE SPACE OP AMP REALIZATIONS I. Inroducion 1. The biquadraic ransfer funcion has boh a 2nd order numeraor and a 2nd order denominaor:
More informationUniversità degli Studi di Roma Tor Vergata Dipartimento di Ingegneria Elettronica. Analogue Electronics. Paolo Colantonio A.A.
Universià degli Sudi di Roma Tor Vergaa Diparimeno di Ingegneria Eleronica Analogue Elecronics Paolo Colanonio A.A. 2015-16 Diode circui analysis The non linearbehaviorofdiodesmakesanalysisdifficul consider
More informationTopic Astable Circuits. Recall that an astable circuit has two unstable states;
Topic 2.2. Asable Circuis. Learning Objecives: A he end o his opic you will be able o; Recall ha an asable circui has wo unsable saes; Explain he operaion o a circui based on a Schmi inverer, and esimae
More information6.8 Laplace Transform: General Formulas
48 HAP. 6 Laplace Tranform 6.8 Laplace Tranform: General Formula Formula Name, ommen Sec. F() l{ f ()} e f () d f () l {F()} Definiion of Tranform Invere Tranform 6. l{af () bg()} al{f ()} bl{g()} Lineariy
More informationPhysics 1502: Lecture 20 Today s Agenda
Physics 152: Lecure 2 Today s Agenda Announcemens: Chap.27 & 28 Homework 6: Friday nducion Faraday's Law ds N S v S N v 1 A Loop Moving Through a Magneic Field ε() =? F() =? Φ() =? Schemaic Diagram of
More informationEmbedded Systems and Software. A Simple Introduction to Embedded Control Systems (PID Control)
Embedded Sysems and Sofware A Simple Inroducion o Embedded Conrol Sysems (PID Conrol) Embedded Sysems and Sofware, ECE:3360. The Universiy of Iowa, 2016 Slide 1 Acknowledgemens The maerial in his lecure
More informationReal Analog Chapter 6: Energy Storage Elements
1300 Henley C. Pullman, WA 99163 509.334.6306 www.sore.digilen.com 6 Inroducion and Chaper Objecives So far, we have considered circuis ha have been governed by algebraic relaions. These circuis have,
More informationSample Final Exam (finals03) Covering Chapters 1-9 of Fundamentals of Signals & Systems
Sample Final Exam Covering Chaper 9 (final04) Sample Final Exam (final03) Covering Chaper 9 of Fundamenal of Signal & Syem Problem (0 mar) Conider he caual opamp circui iniially a re depiced below. I LI
More informationModule 2 F c i k c s la l w a s o s f dif di fusi s o i n
Module Fick s laws of diffusion Fick s laws of diffusion and hin film soluion Adolf Fick (1855) proposed: d J α d d d J (mole/m s) flu (m /s) diffusion coefficien and (mole/m 3 ) concenraion of ions, aoms
More informationEECE 301 Signals & Systems Prof. Mark Fowler
EECE 3 Signals & Sysems Prof. Mark Fowler Noe Se #2 Wha are Coninuous-Time Signals??? Reading Assignmen: Secion. of Kamen and Heck /22 Course Flow Diagram The arrows here show concepual flow beween ideas.
More informationIntroduction to AC Power, RMS RMS. ECE 2210 AC Power p1. Use RMS in power calculations. AC Power P =? DC Power P =. V I = R =. I 2 R. V p.
ECE MS I DC Power P I = Inroducion o AC Power, MS I AC Power P =? A Solp //9, // // correced p4 '4 v( ) = p cos( ω ) v( ) p( ) Couldn' we define an "effecive" volage ha would allow us o use he same relaionships
More informationPhys1112: DC and RC circuits
Name: Group Members: Dae: TA s Name: Phys1112: DC and RC circuis Objecives: 1. To undersand curren and volage characerisics of a DC RC discharging circui. 2. To undersand he effec of he RC ime consan.
More informationDual Current-Mode Control for Single-Switch Two-Output Switching Power Converters
Dual Curren-Mode Conrol for Single-Swich Two-Oupu Swiching Power Converers S. C. Wong, C. K. Tse and K. C. Tang Deparmen of Elecronic and Informaion Engineering Hong Kong Polyechnic Universiy, Hunghom,
More information