The FullWave Rectifier


 Alexandra Margaret Perkins
 2 years ago
 Views:
Transcription
1 9/3/2005 The Full Wae ectfer.doc /0 The FullWae ectfer Consder the followng juncton dode crcut: s (t) Power Lne s (t) 2 Note that we are usng a transformer n ths crcut. The job of ths transformer s to stepdown the large oltage on our power lne (20 V rms) to some smaller magntude (typcally V rms). Note the secondary wndng has a center tap that s grounded. Thus, the secondary oltage s dstrbuted symmetrcally on ether sde of ths center tap. For example, f = 0 V, the anode of wll be 0V aboe ground potental, whle the anode of 2 wll be 0V below ground potental (.e., 0V): Jm tles The Un. of Kansas ept. of EEC
2 9/3/2005 The Full Wae ectfer.doc 2/0 =0 V Power Lne =0V 2 Conersely, f =0 V, the anode of wll be 0V below ground potental (.e., 0V), whle the anode of 2 wll be 0V aboe ground potental: =0 V Power Lne =0V 2 Jm tles The Un. of Kansas ept. of EEC
3 9/3/2005 The Full Wae ectfer.doc 3/0 The more mportant queston s, what s the alue of output? More specfcally, how s related to the alue of source = f? what s the transfer fucton ( ) To help smplfy our analyss, we are gong redraw ths crucut n another way. Frst, we wll splt the secondary wndng nto two explct peces: Power Lne 2 We wll now gnore the prmary wndng of the transformer and redraw the remanng crcut as: 2 Jm tles The Un. of Kansas ept. of EEC
4 9/3/2005 The Full Wae ectfer.doc 4/0 Note that the secondary oltages at ether end of ths crcut are the same, but hae opposte polarty. As a result, f =0, then the anode of dode wll be 0 V aboe ground, and the anode at dode 2 wll be 0V below ground just lke before! 2 =0 =0 Now, let s attempt to determne the transfer functon = f of ths crcut. ( ) Frst, we wll replace the juncton dodes wth CV models. Then let s AUME s forward based and 2 s reerse based, thus ENFCE = 0 and 2 = 0. Thus ANALYZE: = = Jm tles The Un. of Kansas ept. of EEC
5 9/3/2005 The Full Wae ectfer.doc 5/0 Note that we need to determne 3 thngs: the deal dode current, the deal dode oltage 2, and the output oltage. Howeer, nstead of fndng numercal alues for these 3 quanttes, we must express them n terms of source oltage! From KCL: = 2 = 0 = From KVL: 0.7 = 0 Thus the deal dode current s: = 0.7 Lkewse, from KVL: = 0 Thus, the deal dode oltage s: = 2 2 And fnally, from KVL: 0.7 = Thus, the output oltage s: = 0.7 Jm tles The Un. of Kansas ept. of EEC
6 9/3/2005 The Full Wae ectfer.doc 6/0 Now, we must determne when both > 0 and 2 < 0. When both these condtons are true, the output oltage wll be = 0.7. When one or both condtons > 0 and 2 < 0 are false, then our assuptons are nald, and 0.7. Usng the results we just determned, we know that > 0 when: 0.7 > 0 olng for : 0.7 > > 0 > 0.7 V Lkewse, we fnd that 2 < 0 when: 2 < 0 olng for : 2 < 0 2 > 0 > 0 Thus, our assumptons are correct when > 0.0 AN > 0.7. Ths s the same thng as sayng our assumptons are ald when > 0.7! Jm tles The Un. of Kansas ept. of EEC
7 9/3/2005 The Full Wae ectfer.doc 7/0 Thus, we hae found that the followng statement s true about ths crcut: = 0.7 V when > 0.7 V Note that ths statement does not consttute a functon (what about < 0.7?), so we must contnue wth our analyss! ay we now AUME that s reerse based and 2 s forward based, so we ENFCE = 0 and 2 = 0. Thus, we ANALYZE ths crcut: = = 2 0 Usng the same proceedure as before, we fnd that = 0.7, and both our assumptons are true when < 0.7 V. In other words: = 0.7 V when < 0.7 V Note we are stll not done! We stll do not hae a complete transfer functon (what happens when 0.7 V < < 0.7 V?). Jm tles The Un. of Kansas ept. of EEC
8 9/3/2005 The Full Wae ectfer.doc 8/0 Fnally then, we AUME that both deal dodes are reerse based, so we ENFCE = 0 and 2 = 0. Thus ANALYZE: = = Followng the same proceedures as before, we fnd that = 0, and both assumptons are true when 07. < < 07.. In other words: = 0 when 07. < < 07. Now we hae a functon! The transfer functon of ths crcut s: 07V. for > 07V. = 0V for 07. > > 07V. 07V. for < 07V. Plottng ths functon: Jm tles The Un. of Kansas ept. of EEC
9 9/3/2005 The Full Wae ectfer.doc 9/ The output of ths fullwae rectfer wth a sne wae nput s therefore: A 0.7 t A (t) Note how ths compares to the transfer functon of the deal fullwae rectfer: for < 0 = for > 0  Very smlar! Jm tles The Un. of Kansas ept. of EEC
10 9/3/2005 The Full Wae ectfer.doc 0/0 Lkewse, compare the output of ths juncton dode fullwae rectfer to the output of an deal fullwae rectfer: A 0 t A (t) Agan we see that the juncton dode fullwae rectfer output s ery close to deal. In fact, f A>>0.7 V, the C component of ths juncton dode full wae rectfer s approxmately: 2A V 07V. π Just 700 mv less than the deal fullwae rectfer C component! Jm tles The Un. of Kansas ept. of EEC
The Bridge Rectifier
9/4/004 The Brdge ectfer.doc 1/9 The Brdge ectfer Now consder ths juncton dode rectfer crcut: 1 Lne (t)  O (t) _ 4 3 We call ths crcut the brdge rectfer. Let s analyze t and see what t does! Frst, we
More informationPeak Inverse Voltage
9/13/2005 Peak Inerse Voltage.doc 1/6 Peak Inerse Voltage Q: I m so confused! The brdge rectfer and the fullwae rectfer both prode fullwae rectfcaton. Yet, the brdge rectfer use 4 juncton dodes, whereas
More informationIntroduction: Analysis of Electronic Circuits
/30/008 ntroducton / ntroducton: Analyss of Electronc Crcuts Readng Assgnment: KVL and KCL text from EECS Just lke EECS, the majorty of problems (hw and exam) n EECS 3 wll be crcut analyss problems. Thus,
More information(6)(2) (6)(4) (4)(6) + (2)(3) + (4)(3) + (2)(3) = 1224 + 24 + 6 + 12 6 = 0
Chapter 3 Homework Soluton P3., 4, 6, 0, 3, 7, P3.3, 4, 6, P3.4, 3, 6, 9, P3.5 P3.6, 4, 9, 4,, 3, 40  P 3. Determne the alues of, 4,, 3, and 6
More informationLinear Circuits Analysis. Superposition, Thevenin /Norton Equivalent circuits
Lnear Crcuts Analyss. Superposton, Theenn /Norton Equalent crcuts So far we hae explored tmendependent (resste) elements that are also lnear. A tmendependent elements s one for whch we can plot an / cure.
More information3.4 Operation in the Reverse Breakdown Region Zener Diodes
3/3/2008 secton_3_4_zener_odes 1/4 3.4 Operaton n the everse Breakdown egon Zener odes eadng Assgnment: pp. 167171 A Zener ode The 3 techncal dfferences between a juncton dode and a Zener dode: 1. 2. 3.
More informationAnalysis of Smallsignal Transistor Amplifiers
Analyss of Smallsgnal Transstor Amplfers On completon of ths chapter you should be able to predct the behaour of gen transstor amplfer crcuts by usng equatons and/or equalent crcuts that represent the
More information3. Bipolar Junction Transistor (BJT)
3. polar Juncton Transstor (JT) Lecture notes: Sec. 3 Sedra & Smth (6 th Ed): Sec. 6.16.4* Sedra & Smth (5 th Ed): Sec. 5.15.4* * Includes detals of JT dece operaton whch s not coered n ths course EE
More information+ + +   This circuit than can be reduced to a planar circuit
MeshCurrent Method The meshcurrent s analog of the nodeoltage method. We sole for a new set of arables, mesh currents, that automatcally satsfy KCLs. As such, meshcurrent method reduces crcut soluton to
More informationSmallSignal Analysis of BJT Differential Pairs
5/11/011 Dfferental Moe Sall Sgnal Analyss of BJT Dff Par 1/1 SallSgnal Analyss of BJT Dfferental Pars Now lets conser the case where each nput of the fferental par conssts of an entcal D bas ter B, an
More informationPassive Filters. References: Barbow (pp 265275), Hayes & Horowitz (pp 3260), Rizzoni (Chap. 6)
Passve Flters eferences: Barbow (pp 6575), Hayes & Horowtz (pp 360), zzon (Chap. 6) Frequencyselectve or flter crcuts pass to the output only those nput sgnals that are n a desred range of frequences (called
More informationLesson 2 Chapter Two Three Phase Uncontrolled Rectifier
Lesson 2 Chapter Two Three Phase Uncontrolled Rectfer. Operatng prncple of three phase half wave uncontrolled rectfer The half wave uncontrolled converter s the smplest of all three phase rectfer topologes.
More informationBipolar Junction Transistor (BJT)
polar Juncton Transstor (JT) Lecture notes: Sec. 3 Sedra & Smth (6 th Ed): Sec. 6.16.4* Sedra & Smth (5 th Ed): Sec. 5.15.4* * Includes detals of JT dece operaton whch s not coered n ths course F. Najmabad,
More informationThe complex inverse trigonometric and hyperbolic functions
Physcs 116A Wnter 010 The complex nerse trgonometrc and hyperbolc functons In these notes, we examne the nerse trgonometrc and hyperbolc functons, where the arguments of these functons can be complex numbers
More informationII. Diodes. 2.1 Energy Bands in Solids
II. Dodes We start our study of nonlnear crcut elements. These elements (dodes and transstors) are made of semconductors. A bref descrpton of how semconductor deces work s frst gen to understand ther characterstcs.
More informationThe circuit shown on Figure 1 is called the common emitter amplifier circuit. The important subsystems of this circuit are:
polar Juncton Transstor rcuts Voltage and Power Amplfer rcuts ommon mtter Amplfer The crcut shown on Fgure 1 s called the common emtter amplfer crcut. The mportant subsystems of ths crcut are: 1. The basng
More information4. Bipolar Junction Transistors. 4. Bipolar Junction Transistors TLT8016 Basic Analog Circuits 2005/2007 1
4. polar Juncton Transstors 4. polar Juncton Transstors TLT806 asc Analog rcuts 2005/2007 4. asc Operaton of the npn polar Juncton Transstor npn JT conssts of thn ptype layer between two ntype layers;
More informationSupport Vector Machines
Support Vector Machnes Max Wellng Department of Computer Scence Unversty of Toronto 10 Kng s College Road Toronto, M5S 3G5 Canada wellng@cs.toronto.edu Abstract Ths s a note to explan support vector machnes.
More informationSemiconductor sensors of temperature
Semconductor sensors of temperature he measurement objectve 1. Identfy the unknown bead type thermstor. Desgn the crcutry for lnearzaton of ts transfer curve.. Fnd the dependence of forward voltage drop
More informationLuby s Alg. for Maximal Independent Sets using Pairwise Independence
Lecture Notes for Randomzed Algorthms Luby s Alg. for Maxmal Independent Sets usng Parwse Independence Last Updated by Erc Vgoda on February, 006 8. Maxmal Independent Sets For a graph G = (V, E), an ndependent
More informationQuantization Effects in Digital Filters
Quantzaton Effects n Dgtal Flters Dstrbuton of Truncaton Errors In two's complement representaton an exact number would have nfntely many bts (n general). When we lmt the number of bts to some fnte value
More informationEE201 Circuit Theory I 2015 Spring. Dr. Yılmaz KALKAN
EE201 Crcut Theory I 2015 Sprng Dr. Yılmaz KALKAN 1. Basc Concepts (Chapter 1 of Nlsson  3 Hrs.) Introducton, Current and Voltage, Power and Energy 2. Basc Laws (Chapter 2&3 of Nlsson  6 Hrs.) Voltage
More informationSection B9: Zener Diodes
Secton B9: Zener Dodes When we frst talked about practcal dodes, t was mentoned that a parameter assocated wth the dode n the reverse bas regon was the breakdown voltage, BR, also known as the peaknverse
More informationRecurrence. 1 Definitions and main statements
Recurrence 1 Defntons and man statements Let X n, n = 0, 1, 2,... be a MC wth the state space S = (1, 2,...), transton probabltes p j = P {X n+1 = j X n = }, and the transton matrx P = (p j ),j S def.
More informationCircuit Reduction Techniques
Crcut Reducton Technques Comnaton of KVLs, KCLs, and characterstcs equatons result n a set of lnear equatons for the crcut arales. Whle the aoe set of equaton s complete and contans all necessary nformaton,
More information2 The TTL Inverter. (i) An input transistor, T 1, which performs a current steering function, can be thought of as a backtoback diode arrangement.
The TTL Inverter.1 Crcut Structure The crcut dagram of the Transstor Transstor Logc nverter s shown n Fg..1. Ths crcut overcomes the lmtatons of the sngle transstor nverter crcut. Some of the notable features
More informationTHE METHOD OF LEAST SQUARES THE METHOD OF LEAST SQUARES
The goal: to measure (determne) an unknown quantty x (the value of a RV X) Realsaton: n results: y 1, y 2,..., y j,..., y n, (the measured values of Y 1, Y 2,..., Y j,..., Y n ) every result s encumbered
More informationThe Magnetic Field. Concepts and Principles. Moving Charges. Permanent Magnets
. The Magnetc Feld Concepts and Prncples Movng Charges All charged partcles create electrc felds, and these felds can be detected by other charged partcles resultng n electrc force. However, a completely
More information( ) Homework Solutions Physics 8B Spring 09 Chpt. 32 5,18,25,27,36,42,51,57,61,76
Homework Solutons Physcs 8B Sprng 09 Chpt. 32 5,8,25,27,3,42,5,57,,7 32.5. Model: Assume deal connectng wres and an deal battery for whch V bat = E. Please refer to Fgure EX32.5. We wll choose a clockwse
More informationPhysics 110 Spring 2006 2D Motion Problems: Projectile Motion Their Solutions
Physcs 110 Sprn 006 D Moton Problems: Projectle Moton Ther Solutons 1. A placekcker must kck a football from a pont 36 m (about 40 yards) from the oal, and half the crowd hopes the ball wll clear the
More information2. Introduction and Chapter Objectives
eal Analog Crcuts Chapter : Crcut educton. Introducton and Chapter Objectes In Chapter, we presented Krchoff s laws (whch goern the nteractons between crcut elements) and Ohm s law (whch goerns the oltagecurrent
More informationCHOLESTEROL REFERENCE METHOD LABORATORY NETWORK. Sample Stability Protocol
CHOLESTEROL REFERENCE METHOD LABORATORY NETWORK Sample Stablty Protocol Background The Cholesterol Reference Method Laboratory Network (CRMLN) developed certfcaton protocols for total cholesterol, HDL
More informationHomework Solutions Physics 8B Spring 2012 Chpt. 32 5,18,25,27,36,42,51,57,61,76
Homework Solutons Physcs 8B Sprng 202 Chpt. 32 5,8,25,27,3,42,5,57,,7 32.5. Model: Assume deal connectng wres and an deal battery for whch V bat =. Please refer to Fgure EX32.5. We wll choose a clockwse
More informationElectric circuit components. Direct Current (DC) circuits
Electrc crcut components Capactor stores charge and potental energy, measured n Farads (F) Battery generates a constant electrcal potental dfference ( ) across t. Measured n olts (). Resstor ressts flow
More informationSystematic Circuit Analysis (T&R Chap 3)
Systematc Crcut Analyss TR Chap ) Nodeoltage analyss Usng the oltages of the each node relate to a ground node, wrte down a set of consstent lnear equatons for these oltages Sole ths set of equatons usng,
More informationEE101: Op Amp circuits (Part 4)
EE11: Op Amp crcuts (Part 4) M. B. Patl mbpatl@ee.tb.ac.n www.ee.tb.ac.n/~sequel Department of Electrcal Engneerng Indan Insttute of Technology Bombay M. B. Patl, IIT Bombay Halfwave rectfer Consder a
More informationGraph Theory and Cayley s Formula
Graph Theory and Cayley s Formula Chad Casarotto August 10, 2006 Contents 1 Introducton 1 2 Bascs and Defntons 1 Cayley s Formula 4 4 Prüfer Encodng A Forest of Trees 7 1 Introducton In ths paper, I wll
More information8.5 UNITARY AND HERMITIAN MATRICES. The conjugate transpose of a complex matrix A, denoted by A*, is given by
6 CHAPTER 8 COMPLEX VECTOR SPACES 5. Fnd the kernel of the lnear transformaton gven n Exercse 5. In Exercses 55 and 56, fnd the mage of v, for the ndcated composton, where and are gven by the followng
More informationSection 5.4 Annuities, Present Value, and Amortization
Secton 5.4 Annutes, Present Value, and Amortzaton Present Value In Secton 5.2, we saw that the present value of A dollars at nterest rate per perod for n perods s the amount that must be deposted today
More informationPart 1. Electromagnetic Induction. Faraday s Law. Faraday s observation. Problem. Induced emf (Voltage) from changing Magnetic Flux.
Electromagnetc Inducton Part 1 Faraday s Law Chapter 1 Faraday s obseraton Electrc currents produce magnetc elds. 19 th century puzzle: Can magnetc elds produce currents? A statc magnet wll produce no
More informationL10: Linear discriminants analysis
L0: Lnear dscrmnants analyss Lnear dscrmnant analyss, two classes Lnear dscrmnant analyss, C classes LDA vs. PCA Lmtatons of LDA Varants of LDA Other dmensonalty reducton methods CSCE 666 Pattern Analyss
More informationChapter 12 Inductors and AC Circuits
hapter Inductors and A rcuts awrence B. ees 6. You may make a sngle copy of ths document for personal use wthout wrtten permsson. Hstory oncepts from prevous physcs and math courses that you wll need for
More informationA Computer Technique for Solving LP Problems with Bounded Variables
Dhaka Unv. J. Sc. 60(2): 163168, 2012 (July) A Computer Technque for Solvng LP Problems wth Bounded Varables S. M. Atqur Rahman Chowdhury * and Sanwar Uddn Ahmad Department of Mathematcs; Unversty of
More informationBrigid Mullany, Ph.D University of North Carolina, Charlotte
Evaluaton And Comparson Of The Dfferent Standards Used To Defne The Postonal Accuracy And Repeatablty Of Numercally Controlled Machnng Center Axes Brgd Mullany, Ph.D Unversty of North Carolna, Charlotte
More informationSolutions to First Midterm
rofessor Chrstano Economcs 3, Wnter 2004 Solutons to Frst Mdterm. Multple Choce. 2. (a) v. (b). (c) v. (d) v. (e). (f). (g) v. (a) The goods market s n equlbrum when total demand equals total producton,.e.
More informationProblem Set 3. a) We are asked how people will react, if the interest rate i on bonds is negative.
Queston roblem Set 3 a) We are asked how people wll react, f the nterest rate on bonds s negatve. When
More informationn + d + q = 24 and.05n +.1d +.25q = 2 { n + d + q = 24 (3) n + 2d + 5q = 40 (2)
MATH 16T Exam 1 : Part I (InClass) Solutons 1. (0 pts) A pggy bank contans 4 cons, all of whch are nckels (5 ), dmes (10 ) or quarters (5 ). The pggy bank also contans a con of each denomnaton. The total
More informationMultivariate EWMA Control Chart
Multvarate EWMA Control Chart Summary The Multvarate EWMA Control Chart procedure creates control charts for two or more numerc varables. Examnng the varables n a multvarate sense s extremely mportant
More informationThe Mathematical Derivation of Least Squares
Pscholog 885 Prof. Federco The Mathematcal Dervaton of Least Squares Back when the powers that e forced ou to learn matr algera and calculus, I et ou all asked ourself the ageold queston: When the hell
More informationSection C2: BJT Structure and Operational Modes
Secton 2: JT Structure and Operatonal Modes Recall that the semconductor dode s smply a pn juncton. Dependng on how the juncton s based, current may easly flow between the dode termnals (forward bas, v
More informationQUANTUM MECHANICS, BRAS AND KETS
PH575 SPRING QUANTUM MECHANICS, BRAS AND KETS The followng summares the man relatons and defntons from quantum mechancs that we wll be usng. State of a phscal sstem: The state of a phscal sstem s represented
More informationv a 1 b 1 i, a 2 b 2 i,..., a n b n i.
SECTION 8.4 COMPLEX VECTOR SPACES AND INNER PRODUCTS 455 8.4 COMPLEX VECTOR SPACES AND INNER PRODUCTS All the vector spaces we have studed thus far n the text are real vector spaces snce the scalars are
More informationChapter 31B  Transient Currents and Inductance
Chapter 31B  Transent Currents and Inductance A PowerPont Presentaton by Paul E. Tppens, Professor of Physcs Southern Polytechnc State Unversty 007 Objectves: After completng ths module, you should be
More informationLecture 3: Annuity. Study annuities whose payments form a geometric progression or a arithmetic progression.
Lecture 3: Annuty Goals: Learn contnuous annuty and perpetuty. Study annutes whose payments form a geometrc progresson or a arthmetc progresson. Dscuss yeld rates. Introduce Amortzaton Suggested Textbook
More informationCIRCUIT ELEMENTS AND CIRCUIT ANALYSIS
EECS 4 SPING 00 Lecture 9 Copyrght egents of Unversty of Calforna CICUIT ELEMENTS AND CICUIT ANALYSIS Lecture 5 revew: Termnology: Nodes and branches Introduce the mplct reference (common) node defnes
More informationExperiment 8 Two Types of Pendulum
Experment 8 Two Types of Pendulum Preparaton For ths week's quz revew past experments and read about pendulums and harmonc moton Prncples Any object that swngs back and forth can be consdered a pendulum
More informationSPEE Recommended Evaluation Practice #6 Definition of Decline Curve Parameters Background:
SPEE Recommended Evaluaton Practce #6 efnton of eclne Curve Parameters Background: The producton hstores of ol and gas wells can be analyzed to estmate reserves and future ol and gas producton rates and
More informationVLSI Technology Dr. Nandita Dasgupta Department of Electrical Engineering Indian Institute of Technology, Madras
VLI Technology Dr. Nandta Dasgupta Department of Electrcal Engneerng Indan Insttute of Technology, Madras Lecture  11 Oxdaton I netcs of Oxdaton o, the unt process step that we are gong to dscuss today
More informationThe covariance is the two variable analog to the variance. The formula for the covariance between two variables is
Regresson Lectures So far we have talked only about statstcs that descrbe one varable. What we are gong to be dscussng for much of the remander of the course s relatonshps between two or more varables.
More informationLaddered Multilevel DC/AC Inverters used in Solar Panel Energy Systems
Proceedngs of the nd Internatonal Conference on Computer Scence and Electroncs Engneerng (ICCSEE 03) Laddered Multlevel DC/AC Inverters used n Solar Panel Energy Systems Fang Ln Luo, Senor Member IEEE
More information) of the Cell class is created containing information about events associated with the cell. Events are added to the Cell instance
Calbraton Method Instances of the Cell class (one nstance for each FMS cell) contan ADC raw data and methods assocated wth each partcular FMS cell. The calbraton method ncludes event selecton (Class Cell
More informationHollinger Canadian Publishing Holdings Co. ( HCPH ) proceeding under the Companies Creditors Arrangement Act ( CCAA )
February 17, 2011 Andrew J. Hatnay ahatnay@kmlaw.ca Dear Sr/Madam: Re: Re: Hollnger Canadan Publshng Holdngs Co. ( HCPH ) proceedng under the Companes Credtors Arrangement Act ( CCAA ) Update on CCAA Proceedngs
More information9.1 The Cumulative Sum Control Chart
Learnng Objectves 9.1 The Cumulatve Sum Control Chart 9.1.1 Basc Prncples: Cusum Control Chart for Montorng the Process Mean If s the target for the process mean, then the cumulatve sum control chart s
More informationUniversity Physics AI No. 11 Kinetic Theory
Unersty hyscs AI No. 11 Knetc heory Class Number Name I.Choose the Correct Answer 1. Whch type o deal gas wll hae the largest alue or C C? ( D (A Monatomc (B Datomc (C olyatomc (D he alue wll be the same
More informationTime Series Analysis in Studies of AGN Variability. Bradley M. Peterson The Ohio State University
Tme Seres Analyss n Studes of AGN Varablty Bradley M. Peterson The Oho State Unversty 1 Lnear Correlaton Degree to whch two parameters are lnearly correlated can be expressed n terms of the lnear correlaton
More informationAnswer: A). There is a flatter IS curve in the high MPC economy. Original LM LM after increase in M. IS curve for low MPC economy
4.02 Quz Solutons Fall 2004 MultpleChoce Questons (30/00 ponts) Please, crcle the correct answer for each of the followng 0 multplechoce questons. For each queston, only one of the answers s correct.
More informationHALL EFFECT SENSORS AND COMMUTATION
OEM770 5 Hall Effect ensors H P T E R 5 Hall Effect ensors The OEM770 works wth threephase brushless motors equpped wth Hall effect sensors or equvalent feedback sgnals. In ths chapter we wll explan how
More informationChapter 6 Inductance, Capacitance, and Mutual Inductance
Chapter 6 Inductance Capactance and Mutual Inductance 6. The nductor 6. The capactor 6.3 Seresparallel combnatons of nductance and capactance 6.4 Mutual nductance 6.5 Closer look at mutual nductance Oerew
More informationModule 2. AC to DC Converters. Version 2 EE IIT, Kharagpur 1
Module 2 AC to DC Converters erson 2 EE IIT, Kharagpur 1 Lesson 1 Sngle Phase Fully Controlled Rectfer erson 2 EE IIT, Kharagpur 2 Operaton and Analyss of sngle phase fully controlled converter. Instructonal
More informationImplementation of Deutsch's Algorithm Using Mathcad
Implementaton of Deutsch's Algorthm Usng Mathcad Frank Roux The followng s a Mathcad mplementaton of Davd Deutsch's quantum computer prototype as presented on pages  n "Machnes, Logc and Quantum Physcs"
More informationFormula of Total Probability, Bayes Rule, and Applications
1 Formula of Total Probablty, Bayes Rule, and Applcatons Recall that for any event A, the par of events A and A has an ntersecton that s empty, whereas the unon A A represents the total populaton of nterest.
More informationSearching Algorithms. Searching and Sorting Algorithms, Complexity Analysis. Searching Algorithms. Searching Algorithms.
Searchng Algorthms Searchng and Sortng Algorthms, General defnton Locate an element x n a lst of dstnct elements a 1, or determne that t s not n the lst Lnear search Algorthm : Lnear search Input: unsorted
More informationISLM Model 1 C' dy = di
 odel Solow Assumptons  demand rrelevant n long run; assumes economy s operatng at potental GDP; concerned wth growth  Assumptons  supply s rrelevant n short run; assumes economy s operatng below potental
More informationGenerator WarmUp Characteristics
NO. REV. NO. : ; ~ Generator WarmUp Characterstcs PAGE OF Ths document descrbes the warmup process of the SNAP27 Generator Assembly after the sotope capsule s nserted. Several nqures have recently been
More informationBasic Concepts in Data Reconciliation. Chapter 8: Gross Error Detection
Chapter 8: 8.1 Global est In the prevous seven hapters, t was assumed that only random, normally dstrbuted errors (wth zero mean and known varane) were present n the data. However, real proess data an
More informationMichał Tadeusiewicz. Electric Circuits. Technical University of Łódź International Faculty of Engineering. Łódź 2009
Mchał Tadeusewcz Electrc Crcuts Techncal Unersty of Łódź Internatonal Faculty of Engneerng Łódź 9 Contents Preface.. 5. Fundamental laws of electrcal crcuts 7.. Introducton... 7.. Krchhoff s oltage Law
More information"Research Note" APPLICATION OF CHARGE SIMULATION METHOD TO ELECTRIC FIELD CALCULATION IN THE POWER CABLES *
Iranan Journal of Scence & Technology, Transacton B, Engneerng, ol. 30, No. B6, 789794 rnted n The Islamc Republc of Iran, 006 Shraz Unversty "Research Note" ALICATION OF CHARGE SIMULATION METHOD TO ELECTRIC
More informationAddendum to: Importing SkillBiased Technology
Addendum to: Importng SkllBased Technology Arel Bursten UCLA and NBER Javer Cravno UCLA August 202 Jonathan Vogel Columba and NBER Abstract Ths Addendum derves the results dscussed n secton 3.3 of our
More informationx f(x) 1 0.25 1 0.75 x 1 0 1 1 0.04 0.01 0.20 1 0.12 0.03 0.60
BIVARIATE DISTRIBUTIONS Let be a varable that assumes the values { 1,,..., n }. Then, a functon that epresses the relatve frequenc of these values s called a unvarate frequenc functon. It must be true
More informationFaraday's Law of Induction
Introducton Faraday's Law o Inducton In ths lab, you wll study Faraday's Law o nducton usng a wand wth col whch swngs through a magnetc eld. You wll also examne converson o mechanc energy nto electrc energy
More informationCHAPTER 14 MORE ABOUT REGRESSION
CHAPTER 14 MORE ABOUT REGRESSION We learned n Chapter 5 that often a straght lne descrbes the pattern of a relatonshp between two quanttatve varables. For nstance, n Example 5.1 we explored the relatonshp
More informationbenefit is 2, paid if the policyholder dies within the year, and probability of death within the year is ).
REVIEW OF RISK MANAGEMENT CONCEPTS LOSS DISTRIBUTIONS AND INSURANCE Loss and nsurance: When someone s subject to the rsk of ncurrng a fnancal loss, the loss s generally modeled usng a random varable or
More informationAttention: This material is copyright Chris Hecker. All rights reserved.
Attenton: Ths materal s copyrght 19951997 Chrs Hecker. All rghts reserved. You have permsson to read ths artcle for your own educaton. You do not have permsson to put t on your webste (but you may lnk
More informationGeneralizing the degree sequence problem
Mddlebury College March 2009 Arzona State Unversty Dscrete Mathematcs Semnar The degree sequence problem Problem: Gven an nteger sequence d = (d 1,...,d n ) determne f there exsts a graph G wth d as ts
More information( ) B. Application of Phasors to Electrical Networks In an electrical network, let the instantaneous voltage and the instantaneous current be
World Academy of Scence Engneerng and echnology Internatonal Journal of Electrcal obotcs Electroncs and ommuncatons Engneerng Vol:8 No:7 4 Analyss of Electrcal Networks Usng Phasors: A Bond Graph Approach
More informationErrorPropagation.nb 1. Error Propagation
ErrorPropagaton.nb Error Propagaton Suppose that we make observatons of a quantty x that s subject to random fluctuatons or measurement errors. Our best estmate of the true value for ths quantty s then
More information6. EIGENVALUES AND EIGENVECTORS 3 = 3 2
EIGENVALUES AND EIGENVECTORS The Characterstc Polynomal If A s a square matrx and v s a nonzero vector such that Av v we say that v s an egenvector of A and s the correspondng egenvalue Av v Example :
More informationLecture 2: Single Layer Perceptrons Kevin Swingler
Lecture 2: Sngle Layer Perceptrons Kevn Sngler kms@cs.str.ac.uk Recap: McCullochPtts Neuron Ths vastly smplfed model of real neurons s also knon as a Threshold Logc Unt: W 2 A Y 3 n W n. A set of synapses
More informationAryabhata s Root Extraction Methods. Abhishek Parakh Louisiana State University Aug 31 st 2006
Aryabhata s Root Extracton Methods Abhshek Parakh Lousana State Unversty Aug 1 st 1 Introducton Ths artcle presents an analyss of the root extracton algorthms of Aryabhata gven n hs book Āryabhatīya [1,
More informationLOOP ANALYSIS. The second systematic technique to determine all currents and voltages in a circuit
LOOP ANALYSS The second systematic technique to determine all currents and voltages in a circuit T S DUAL TO NODE ANALYSS  T FRST DETERMNES ALL CURRENTS N A CRCUT AND THEN T USES OHM S LAW TO COMPUTE
More informationFace Verification Problem. Face Recognition Problem. Application: Access Control. Biometric Authentication. Face Verification (1:1 matching)
Face Recognton Problem Face Verfcaton Problem Face Verfcaton (1:1 matchng) Querymage face query Face Recognton (1:N matchng) database Applcaton: Access Control www.vsage.com www.vsoncs.com Bometrc Authentcaton
More informationMath 131: Homework 4 Solutions
Math 3: Homework 4 Solutons Greg Parker, Wyatt Mackey, Chrstan Carrck October 6, 05 Problem (Munkres 3.) Let {A n } be a sequence of connected subspaces of X such that A n \ A n+ 6= ; for all n. Then S
More information2.4 Bivariate distributions
page 28 2.4 Bvarate dstrbutons 2.4.1 Defntons Let X and Y be dscrete r.v.s defned on the same probablty space (S, F, P). Instead of treatng them separately, t s often necessary to thnk of them actng together
More informationIn our example i = r/12 =.0825/12 At the end of the first month after your payment is received your amount in the account, the balance, is
Payout annutes: Start wth P dollars, e.g., P = 100, 000. Over a 30 year perod you receve equal payments of A dollars at the end of each month. The amount of money left n the account, the balance, earns
More informationCompilers. 3 rd year Spring term. Mick O Donnell: Alfonso Ortega: Topic 5: Semantic analysis
Complers 3 rd year Sprng term Mck O Donnell: mchael.odonnell@uam.es Alfonso Ortega: alfonso.ortega@uam.es Topc 5: Semantc analyss 5.0 Introducton 1 Semantc analyss What s the Semantc Analyser? Set of routnes
More informationComparison of Control Strategies for Shunt Active Power Filter under Different Load Conditions
Comparson of Control Strateges for Shunt Actve Power Flter under Dfferent Load Condtons Sanjay C. Patel 1, Tushar A. Patel 2 Lecturer, Electrcal Department, Government Polytechnc, alsad, Gujarat, Inda
More informationPSYCHOLOGICAL RESEARCH (PYC 304C) Lecture 12
14 The Chsquared dstrbuton PSYCHOLOGICAL RESEARCH (PYC 304C) Lecture 1 If a normal varable X, havng mean µ and varance σ, s standardsed, the new varable Z has a mean 0 and varance 1. When ths standardsed
More informationLecture 7 March 20, 2002
MIT 8.996: Topc n TCS: Internet Research Problems Sprng 2002 Lecture 7 March 20, 2002 Lecturer: Bran Dean Global Load Balancng Scrbe: John Kogel, Ben Leong In today s lecture, we dscuss global load balancng
More information1 Example 1: Axisaligned rectangles
COS 511: Theoretcal Machne Learnng Lecturer: Rob Schapre Lecture # 6 Scrbe: Aaron Schld February 21, 2013 Last class, we dscussed an analogue for Occam s Razor for nfnte hypothess spaces that, n conjuncton
More informationMathematics of Finance
CHAPTER 5 Mathematcs of Fnance 5.1 Smple and Compound Interest 5.2 Future Value of an Annuty 5.3 Present Value of an Annuty; Amortzaton Revew Exercses Extended Applcaton: Tme, Money, and Polynomals Buyng
More information