Chapter 2 Properties of resistive circuits


 Oswin Thompson
 2 years ago
 Views:
Transcription
1 Chaper 2 Properes of resse crcus (oponal) equalen ressance, resse ladder, dualy, dual enes 2.3 Crcus wh conrolled sources conrolled sources (VCVS, CCVS, VCCS, CCVS), equalen ressance 2.4 Lneary and superposon proporonaly prncple, superposon heorem 2.5 Theenn and Noron neworks Theenn s and Noron s heorems, source conerson 2
2 Oponal. equalen woermnal neworks: woermnal neworks hae he same  characerscs 2. seresconneced ressors: olage dder seres equalen ressance: R ser R + R R N 3. parallelconneced ressors: curren dder parallel equalen conducance: G par G + G G N 4. resse ladder: a nework conssng enrely of seres and parallel ressors 5. seresparallel reducon mehod: o sole branch arables of a resse ladder () sep : fnd he equalen ressance of he ladder nework (2) sep 2: calculae he olage or curren a he nework ermnal (3) sep 3: use KVL, KCL, Ohm s law o calculae branch arables 22
3 6. Ex. 2.4 sole ermnal curren, oal dsspaed power p, branch arables x, y () sep R eq 2+ 0//5 8kΩ (2) sep p mW (3) sep 3 x y V V R eq 23
4 7. dual neworks:  equaon of nework A  equaon of nework B wh s, nerchanged Seres nework KVL loop eq. equalen ressance olage dder open crcu Parallel nework R + R...) KCL node eq. G + G...) n ( 2 + R ser R R equalen conducance ( 2 + G par Rn curren dder Gn R + R... G G n when R shor crcu when G n n n n G G
5 8. Dual pars 9. Ex. 2.5 dual neworks KVL olage ressance loop seres open ck node olage capacance mpedance KCL curren conducance node parallel shor ck mesh curren nducance admance (2 + 3) (2 + 3)
6 (dual crcu conerson) Sep : place a node a he cener of each loop and he reference node ousde of he gen crcu Sep 2: draw a lne beween he nodes wh each lne crossng an elemen, and replace ha elemen by s dual rule of source: a olage source ha produces a pose (CW) loop curren has as s dual a curren source whose reference drecon s from he ground o nonreference node 2 V pose or CW dual 2A curren source dreced from 0 o 5 A o he ground node 2 ( negae) 5 A or CCW dual 5V olage source 26
7 2.3 Crcu wh conrolled sources Bascs. dependen (conrolled) sources: lnear elemen olage gan curren gan (ransformer, olage amplfer) (BJT) ransconducance ransressance (FET) 27 (ransformer)
8 (DC ranssor crcu) n ace mode: V 0.7V I I C C BE αi, α: CB curren gan E 0.98 <α< βi, β: CE curren gan B 50 <β< 000 npn ranssor DC equalen model mehod 50 loop : () loop 2: V uA 3 BE loop 3: o 0 IC (2) () 3 ua, node A : + I I 9.5uA 2 I β I.425 ma,(2) V C B o B 28 B
9 mehod o IB...() IB 2 9.5uA () o V 29
10 2. equalen ressance heorem (ermnal behaor of a nework) For a woermnal load nework conanng ressors and conrolled sources, he equalen ressor s deermned by s ermnal olage and curren. no ndependen source nsde R eq 20
11 Dscusson. Ex.2.6 a FET wh g m 5mS, ou? 6 0 g ou ou m g 5 n g m n 25 n Ex.2.7 a VCVS o fnd ( s ) KVL : 2 KVL : s s KCL : s 2 s 9 kω 5kΩ g ou 6kΩ g m ou g 2
12 3. Ex.2.8 fnd R eq gm R KCL : + g m ( g m + ) R R R R Req g R m f R, c gm Req ( ace) g m 22
13 2.4 Lneary and superposon Bascs. Lnear resse crcu: crcu conans lnear ressors and ndependen sources. 2. Proporonaly prncple (sngle ndependen source) f yf(x), hen f(kx)kf(x) 3. Superposon heorem (mulple ndependen sources) For a lnear nework, response of a sum of sgnals sum of sgnal responses 4. Conrolled sources are no appled for he superposon heorem. 5. suppressed ndependen olage source s 0 shor crcu suppressed ndependen curren source s 0 open crcu 23
14 Dscusson. Ex.2.9 (ladder nework) s 72 use proporonaly prncple o fnd, 2, R eq sep : assume a conenen alue for a branch arable farhes from he source le 2 sep 2: work oward source o oban he source alue x s 3 2 sep 3: calculae he scalng facor K K 9 72 K 8 sep 4: calculae he acual alues by he scalng facor K 3 K 2, 2 K 3 24, K 8 2 s Req 6 24
15 Ex.2.0 use superposon o fnd from source of 30V O.C. from source 2 of 3A (6 + 2) + 4 S.C. S.C. O.C. from source 3 of 8A 6 3 ( 8) (2+ 4)
16 Ex.2. use superposon o fnd from source of 30V KCL 9 KVL 30 6(9 ) (4 + 2) from source 2 of 3A KCL 9 KCL Ω 3 4Ω 2 KVL 6(9 ) + 4( 3) A
17 2.5 Theenn and Noron neworks Bascs. source nework: a woermnal nework conanng lnear ressors (conrolled sources) and a leas one ndependen source. 2. Theenn parameers (ermnal behaor of a nework): opencrcu olage oc, shorcrcu curren sc, and Theenn ressance R oc R sc 27
18 Dscusson. Theenn s heorem: he equalen crcu of a lnear resse source nework s a olage source oc n seres wh a ressor R. 2. Noron s heorem: he equalen crcu of a lnear resse source nework s a curren source sc n parallel wh a ressor R.,, oc oc 0 sc R 0 sc oc R sc R 28 f load SC, 0 R oc sc oc f load OC, 0 sc R R oc sc
19 3. Theenn and Noron equalen crcus are useful o sole he ermnal behaor of a source nework, bu no nernal branches. 4. Ex.2.2 fnd he Theenn parameers OC.. load x x x ( 00 x) KCL x x + 00x oc 80 + ( 00 x ) SC.. load x x x KCL sc R x x 00x oc 6.92Ω sc 29
20 5. Ex.2.3 use equalen source crcus o desgn R L n wo cases o ge 24, and 8 Thenn and Noron equalen crcus 20 oc sc 0, R from Teenn equalen crcu RL 24 oc RL 6Ω R + R from Noron equalen crcu R 8 sc RL Ω R + R L L 220
21 6. Theenn ressance he equalen ressance of he source nework wh all ndependen sources suppressed. (anoher way o fnd R ) (conans only ressors and dependen sources) R oc sc (ndependen olage source or curren source) oc + R,f oc 0 hen R sc,f sc 0 R Equalen ressance heorem s he specal case of Theenn or Noron heorem. 7. A source nework can be descrbed by any wo of he Theenn parameers: oc, sc, R 22
22 8. Ex. 2.4 fnd Theenn parameers sep : 40k easer o fnd sc KVL x 5 x 0 x 0 sc sep 2: fnd R KVL x x x x KCL R 0000 ( conrolled source) oc R sc 30 sep : sep 2: 222
23 9. equalen source conerson (ncludng dependen sources) () sources are off same (2) SC.. same s (3) OC.. same s R s s R s s 0. Source conerson can ease crcu analyss. 223
24 . Ex. 2.5(ex. 2.9) sole 2 usng equalen source conerson usng 2 2 KCL V 4//6//2 When conrolled sources are presen, source conerson mus no oblerae he deny of any conrolled arables. 224
25 2. Ex. 2.6 (ex.2.0) fnd Theenn equalen crcu usng source conerson sep sep 2 sep 3 R L A
Chapter 5 Instructor Notes
G zzon, Prncples and Applcaons of Elecrcal Engneerng Problem soluons, haper 5 haper 5 Insrucor Noes haper 5 has been reorganzed n response o a number of suggesons forwarded by users of he hrd eon of hs
More informationSecondOrder Circuits
//4 econorer rcus Inroucon Fnng Inal an Fnal Values The ourcefree eres R rcu The ourcefree Parallel R rcu ep Response of a eres R rcu ep Response of a Parallel R rcu General econorer rcus Dualy pplcaons
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 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 informationInterconnect Delay Models
Inerconnec elay Models Basc rcu Analyss echnques Ouu resonse For lnear crcus: N + F Basc waeforms Se nu Pulse nu Imulse Inu Newor srucures & sae Inu waeform & zerosaes Use smle nu waeforms o undersand
More informationRevision: June 12, 2010 215 E Main Suite D Pullman, WA 99163 (509) 334 6306 Voice and Fax
.3: Inucors Reson: June, 5 E Man Sue D Pullman, WA 9963 59 334 636 Voce an Fax Oerew We connue our suy of energy sorage elemens wh a scusson of nucors. Inucors, lke ressors an capacors, are passe woermnal
More informationMOSFET Threshold Voltage: Definition, Extraction, and Applications
MOSFET Threshold Volage: efnon, Exracon, and Applcaons M. B. Machado, O. F. Sebel, M. C. Schneder, and C. GalupMonoro Federal Unversy of Sana Caarna Brazl Conens 1 Classcal and currenbased hreshold defnon
More informationProblem set #5 EE 221, 09/26/ /03/2002 1
Chapter 3, Problem 42. Problem set #5 EE 221, 09/26/2002 10/03/2002 1 In the circuit of Fig. 3.75, choose v 1 to obtain a current i x of 2 A. Chapter 3, Solution 42. We first simplify as shown, making
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 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 informationTutorial Problems: Bipolar Junction Transistor (Basic BJT Amplifiers)
Tutorial Problems: Bipolar Junction Transistor (Basic BJT Amplifiers) Part A. CommonEmitter Amplifier 1. For the circuit shown in Figure 1, the transistor parameters are β = 100 and V A =. Design the
More informationBJT Circuit Analysis
BJT Circuit Analysis Assuming that the transistor is in the active region, solve for the voltages and currents  why this assumption? In general, the problem requires solution of a set of nonlinear equations:
More informationMeshCurrent Method (Loop Analysis)
MeshCurrent Method (Loop Analysis) Nodal analysis was developed by applying KCL at each nonreference node. MeshCurrent method is developed by applying KVL around meshes in the circuit. A mesh is a loop
More informationVoltage Divider Bias
Voltage Divider Bias ENGI 242 ELEC 222 BJT Biasing 3 For the Voltage Divider Bias Configurations Draw Equivalent Input circuit Draw Equivalent Output circuit Write necessary KVL and KCL Equations Determine
More informationLecture 11 Inductance and Capacitance
Lecure Inducance and apacance ELETRIAL ENGINEERING: PRINIPLES AND APPLIATIONS, Fourh Edon, by Allan R. Hambley, 8 Pearson Educaon, Inc. Goals. Fnd he curren olage for a capacance or nducance gen he olage
More informationLecture 40 Induction. Review Inductors Selfinduction RL circuits Energy stored in a Magnetic Field
ecure 4 nducon evew nducors Selfnducon crcus nergy sored n a Magnec Feld 1 evew nducon end nergy Transfers mf Bv Mechancal energy ransform n elecrc and hen n hermal energy P Fv B v evew eformulaon of
More informationChapter 7. Response of FirstOrder RL and RC Circuits
Chaper 7. esponse of FirsOrder L and C Circuis 7.1. The Naural esponse of an L Circui 7.2. The Naural esponse of an C Circui 7.3. The ep esponse of L and C Circuis 7.4. A General oluion for ep and Naural
More informationExample: Determine the power supplied by each of the sources, independent and dependent, in this circuit:
Example: Determine the power supplied by each of the sources, independent and dependent, in this circuit: Solution: We ll begin by choosing the bottom node to be the reference node. Next we ll label the
More informationSpline. Computer Graphics. Bsplines. BSplines (for basis splines) Generating a curve. Basis Functions. Lecture 14 Curves and Surfaces II
Lecure 4 Curves and Surfaces II Splne A long flexble srps of meal used by drafspersons o lay ou he surfaces of arplanes, cars and shps Ducks weghs aached o he splnes were used o pull he splne n dfferen
More informationCapacitors and inductors
Capaciors and inducors We coninue wih our analysis of linear circuis by inroducing wo new passive and linear elemens: he capacior and he inducor. All he mehods developed so far for he analysis of linear
More informationModule 4. Singlephase AC circuits. Version 2 EE IIT, Kharagpur
Module 4 Singlephase A circuis ersion EE T, Kharagpur esson 5 Soluion of urren in A Series and Parallel ircuis ersion EE T, Kharagpur n he las lesson, wo poins were described:. How o solve for he impedance,
More informationModule 2. DC Circuit. Version 2 EE IIT, Kharagpur
Module 2 DC Circuit Lesson 5 Nodevoltage analysis of resistive circuit in the context of dc voltages and currents Objectives To provide a powerful but simple circuit analysis tool based on Kirchhoff s
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 informationsdomain Circuit Analysis
Domain ircui Analyi Operae direcly in he domain wih capacior, inducor and reior Key feaure lineariy i preered c decribed by ODE and heir Order equal number of plu number of Elemenbyelemen and ource ranformaion
More information120 CHAPTER 3 NODAL AND LOOP ANALYSIS TECHNIQUES SUMMARY PROBLEMS SECTION 3.1
IRWI03_082132v3 8/26/04 9:41 AM Page 120 120 CHAPTER 3 NODAL AND LOOP ANALYSIS TECHNIQUES SUMMARY Nodal analysis for an Nnode circuit Select one node in the Nnode circuit as the reference node. Assume
More informationCircuit Types. () i( t) ( )
Circui Types DC Circuis Idenifying feaures: o Consan inpus: he volages of independen volage sources and currens of independen curren sources are all consan. o The circui does no conain any swiches. All
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 informationMultiple stage amplifiers
Multple stage amplfers Ams: Examne a few common 2transstor amplfers:  Dfferental amplfers  Cascode amplfers  Darlngton pars  current mrrors Introduce formal methods for exactly analysng multple
More informationAuxiliary Module for Unbalanced Three Phase Loads with a Neutral Connection
CODEN:LUTEDX/TEIE514/1141/6 Indusral Elecrcal Engneerng and Auomaon Auxlary Module for Unbalanced Three Phase Loads wh a Neural Connecon Nls Lundsröm Rkard Sröman Dep. of Indusral Elecrcal Engneerng
More informationChapter 2. Circuit Analysis Techniques
Chapter 2 Circuit Analysis Techniques 1 Objectives To formulate the nodevoltage equations. To solve electric circuits using the node voltage method. To introduce the mesh current method. To formulate
More informationBasic Laws Circuit Theorems Methods of Network Analysis NonLinear Devices and Simulation Models
EE Modul 1: Electric Circuits Theory Basic Laws Circuit Theorems Methods of Network Analysis NonLinear Devices and Simulation Models EE Modul 1: Electric Circuits Theory Current, Voltage, Impedance Ohm
More informationThevenin Equivalent Circuits
hevenin Equivalent Circuits Introduction In each of these problems, we are shown a circuit and its hevenin or Norton equivalent circuit. he hevenin and Norton equivalent circuits are described using three
More informationBipolar Junction Transistors
Bipolar Junction Transistors Physical Structure & Symbols NPN Emitter (E) ntype Emitter region ptype Base region ntype Collector region Collector (C) B C Emitterbase junction (EBJ) Base (B) (a) Collectorbase
More informationChapter 8: Regression with Lagged Explanatory Variables
Chaper 8: Regression wih Lagged Explanaory Variables Time series daa: Y for =1,..,T End goal: Regression model relaing a dependen variable o explanaory variables. Wih ime series new issues arise: 1. One
More informationDC Circuits: Operational Amplifiers Hasan Demirel
DC Circuits: Operational Amplifiers Hasan Demirel Op Amps: Introduction Op Amp is short form of operational amplifier. An op amp is an electronic unit that behaves like a voltage controlled voltage source.
More informationPedro M. Castro Iiro Harjunkoski Ignacio E. Grossmann. Lisbon, Portugal Ladenburg, Germany Pittsburgh, USA
Pedro M. Casro Iro Harjunkosk Ignaco E. Grossmann Lsbon Porugal Ladenburg Germany Psburgh USA 1 Process operaons are ofen subjec o energy consrans Heang and coolng ules elecrcal power Avalably Prce Challengng
More informationFullwave rectification, bulk capacitor calculations Chris Basso January 2009
ullwave recificaion, bulk capacior calculaions Chris Basso January 9 This shor paper shows how o calculae he bulk capacior value based on ripple specificaions and evaluae he rms curren ha crosses i. oal
More informationOperational Amplifiers
Operational Amplifiers Introduction The operational amplifier (opamp) is a voltage controlled voltage source with very high gain. It is a five terminal four port active element. The symbol of the opamp
More informationRC (ResistorCapacitor) Circuits. AP Physics C
(ResisorCapacior Circuis AP Physics C Circui Iniial Condiions An circui is one where you have a capacior and resisor in he same circui. Suppose we have he following circui: Iniially, he capacior is UNCHARGED
More informationBJT Circuit Configurations
BJT Circuit Configurations V be ~ ~ ~ v s R L v s R L V Vcc R s cc R s v s R s R L V cc Common base Common emitter Common collector Common emitter current gain BJT CurrentVoltage Characteristics V CE,
More informationSelected Financial Formulae. Basic Time Value Formulae PV A FV A. FV Ad
Basc Tme Value e Fuure Value of a Sngle Sum PV( + Presen Value of a Sngle Sum PV  ( + Solve for for a Sngle Sum ln  PV  ln( + Solve for for a Sngle Sum 
More informationUsing CTFs is tedious but not difficult. Finding them is difficult, and you have to use a program for that task.
ME 44/54 HVAC Sysems Hea Balance Mehd The HBM requres a lad calculan prgram and hs mehd s n dscussed n ur ex. Dfferen peces f he clng lad prblem are lked a n slan. A prgram pus all hese peces geher fr
More informationAN Introduction. Induction Heating System Topology Review. July, Discrete Application Power Device Division Fairchild Semiconductor
July, 2 AN912 Inducon Heang Sysem Topology Revew Dscree Applcaon Power Devce Dvson Farchld Semconducor 1. Inroducon All IH (nducon heang) appled sysems are developed usng elecromagnec nducon whch was frs
More informationCommon Base BJT Amplifier Common Collector BJT Amplifier
Common Base BJT Amplifier Common Collector BJT Amplifier Common Collector (Emitter Follower) Configuration Common Base Configuration Small Signal Analysis Design Example Amplifier Input and Output Impedances
More informationChapter 07. SeriesParallel Circuits
Chapter 07 SeriesParallel Circuits Source: Circuit Analysis: Theory and Practice Delmar Cengage Learning The SeriesParallel Network Complex circuits May be separated both series and/or parallel elements
More informationNode and Mesh Analysis
Node and Mesh Analysis 1 Copyright ODL Jan 2005 Open University Malaysia Circuit Terminology Name Definition Node Essential node Path Branch Essential Branch Loop Mesh A point where two ore more branches
More informationMORE ON TVM, "SIX FUNCTIONS OF A DOLLAR", FINANCIAL MECHANICS. Copyright 2004, S. Malpezzi
MORE ON VM, "SIX FUNCIONS OF A DOLLAR", FINANCIAL MECHANICS Copyrgh 2004, S. Malpezz I wan everyone o be very clear on boh he "rees" (our basc fnancal funcons) and he "fores" (he dea of he cash flow model).
More informationBJT AC Analysis 1 of 38. The r e Transistor model. Remind Qpoiint re = 26mv/IE
BJT AC Analysis 1 of 38 The r e Transistor model Remind Qpoiint re = 26mv/IE BJT AC Analysis 2 of 38 Three amplifier configurations, Common Emitter Common Collector (Emitter Follower) Common Base BJT
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 informationInductance and Transient Circuits
Chaper H Inducance and Transien Circuis Blinn College  Physics 2426  Terry Honan As a consequence of Faraday's law a changing curren hrough one coil induces an EMF in anoher coil; his is known as muual
More informationUNIVERSITY OF NORTH CAROLINA AT CHARLOTTE Department of Electrical and Computer Engineering
UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE Department of Electrical and Computer Engineering EXPERIMENT 5 PARALLEL AND SERIESPARALLEL CIRCUIT CHARACTERISTICS OBJECTIVES This experiment will have the student
More informationAPPLICATION OF CHAOS THEORY TO ANALYSIS OF COMPUTER NETWORK TRAFFIC Liudvikas Kaklauskas, Leonidas Sakalauskas
The XIII Inernaonal Conference Appled Sochasc Models and Daa Analyss (ASMDA2009) June 30July 3 2009 Vlnus LITHUANIA ISBN 9789955284635 L. Sakalauskas C. Skadas and E. K. Zavadskas (Eds.): ASMDA2009
More informationMODELLING DISTURBANCES IN SYSTEM TRACK RAIL VEHICLE
The 8 h Inernaonal Conference RELIABILITY an STATISTICS n TRANSPORTATION an COMMUNICATION  008 MODELLING DISTURBANCES IN SYSTEM TRACK RAIL VEHICLE Taeus Csosk, Anrej Necas, Jóef Sokłosa Hgh School of
More informationEquivalent Circuits and Transfer Functions
R eq isc Equialent Circuits and Transfer Functions Samantha R Summerson 14 September, 009 1 Equialent Circuits eq ± Figure 1: Théenin equialent circuit. i sc R eq oc Figure : MayerNorton equialent circuit.
More informationEE 201 ELECTRIC CIRCUITS. Class Notes CLASS 8
EE 201 ELECTRIC CIRCUITS Class Notes CLASS 8 The material covered in this class will be as follows: Nodal Analysis in the Presence of Voltage Sources At the end of this class you should be able to: Apply
More informationChapter 8 Student Lecture Notes 81
Chaper Suden Lecure Noes  Chaper Goals QM: Business Saisics Chaper Analyzing and Forecasing Series Daa Afer compleing his chaper, you should be able o: Idenify he componens presen in a ime series Develop
More informationThe BJT Differential Amplifier. Basic Circuit. DC Solution
c Copyright 010. W. Marshall Leach, Jr., Professor, Georgia Institute of Technology, School of Electrical and Computer Engineering. The BJT Differential Amplifier Basic Circuit Figure 1 shows the circuit
More informationLecture Notes: ECS 203 Basic Electrical Engineering Semester 1/2010. Dr.Prapun Suksompong 1 June 16, 2010
Sirindhorn International Institute of Technology Thammasat University School of Information, Computer and Communication Technology Lecture Notes: ECS 203 Basic Electrical Engineering Semester 1/2010 Dr.Prapun
More informationLecture 2: Telegrapher Equations For Transmission Lines. Power Flow.
Whies, EE 481 Lecure 2 Page 1 of 13 Lecure 2: Telegraher Equaions For Transmission Lines. Power Flow. Microsri is one mehod for making elecrical connecions in a microwae circui. I is consruced wih a ground
More information12/7/2011. Procedures to be Covered. Time Series Analysis Using Statgraphics Centurion. Time Series Analysis. Example #1 U.S.
Tme Seres Analyss Usng Sagraphcs Cenuron Nel W. Polhemus, CTO, SaPon Technologes, Inc. Procedures o be Covered Descrpve Mehods (me sequence plos, auocorrelaon funcons, perodograms) Smoohng Seasonal Decomposon
More informationLinear Extension Cube Attack on Stream Ciphers Abstract: Keywords: 1. Introduction
Lnear Exenson Cube Aack on Sream Cphers Lren Dng Yongjuan Wang Zhufeng L (Language Engneerng Deparmen, Luo yang Unversy for Foregn Language, Luo yang cy, He nan Provnce, 47003, P. R. Chna) Absrac: Basng
More informationBipolar Junction Transistors (BJT): Part 4 Small Signal BJT Model. Reading: Jaeger , Notes. ECE Dr. Alan Doolittle
Lecture 20 Bipolar Junction Transistors (BJT): Part 4 Small Signal BJT Model Reading: Jaeger 13.513.6, Notes Further Model Simplifications (useful for circuit analysis) EbersMoll Forward Active Mode
More informationCircuits 1 M H Miller
Introduction to Graph Theory Introduction These notes are primarily a digression to provide general background remarks. The subject is an efficient procedure for the determination of voltages and currents
More informationMTH6121 Introduction to Mathematical Finance Lesson 5
26 MTH6121 Inroducion o Mahemaical Finance Lesson 5 Conens 2.3 Brownian moion wih drif........................... 27 2.4 Geomeric Brownian moion........................... 28 2.5 Convergence of random
More informationSeriesParallel Circuits. Objectives
SeriesParallel Circuits Objectives Identify seriesparallel configuration Analyze seriesparallel circuits Apply KVL and KCL to the seriesparallel circuits Analyze loaded voltage dividers Determine the
More informationLaplace Transforms Circuit Analysis Passive element equivalents Review of ECE 221 methods in s domain Many examples
Laplace Transforms Circuit Analysis Passive element equivalents Review of ECE 221 methods in s domain Many examples J. McNames Portland State University ECE 222 Laplace Circuits Ver. 1.63 1 Example 1:
More informationDependent Sources: Introduction and analysis of circuits containing dependent sources.
Dependent Sources: Introduction and analysis of circuits containing dependent sources. So far we have explored timeindependent (resistive) elements that are also linear. We have seen that two terminal
More informationCircuit Analysis using the Node and Mesh Methods
Circuit Analysis using the Node and Mesh Methods We have seen that using Kirchhoff s laws and Ohm s law we can analyze any circuit to determine the operating conditions (the currents and voltages). The
More informationAcceleration Lab Teacher s Guide
Acceleraion Lab Teacher s Guide Objecives:. Use graphs of disance vs. ime and velociy vs. ime o find acceleraion of a oy car.. Observe he relaionship beween he angle of an inclined plane and he acceleraion
More informationEE 1202 Experiment #2 Resistor Circuits
EE 1202 Experiment #2 Resistor Circuits 1. ntroduction and Goals: Demonstrates the voltagecurrent relationships in DC and AC resistor circuits. Providing experience in using DC power supply, digital multimeter,
More informationBonaventure. Team Perfected
T Pc S E 2014 Bv INSIDE C S G O Bv C S wc w w R, A Lv M C C b w G O Cb M 3 4. T v w b v 1,000 w b Bv S c H Oc j cb. Excv Dc J T c cb b c bb w b w c, K Mx ( bw). H w c v w v, j Bv C S. T V.I.P. v c c. A
More informationVoltage level shifting
rek Applicaion Noe Number 1 r. Maciej A. Noras Absrac A brief descripion of volage shifing circuis. 1 Inroducion In applicaions requiring a unipolar A volage signal, he signal may be delivered from a bipolar
More informationModule 2. DC Circuit. Version 2 EE IIT, Kharagpur
Module DC Circuit Lesson 4 Loop Analysis of resistive circuit in the context of dc voltages and currents Objectives Meaning of circuit analysis; distinguish between the terms mesh and loop. To provide
More informationPart 1: White Noise and Moving Average Models
Chaper 3: Forecasing From Time Series Models Par 1: Whie Noise and Moving Average Models Saionariy In his chaper, we sudy models for saionary ime series. A ime series is saionary if is underlying saisical
More informationCollection of Solved Feedback Amplifier Problems
c Copyright 2009. W. Marshall Leach, Jr., Professor, Georgia Institute of Technology, School of Electrical and Computer Engineering. Collection of Solved Feedback Amplifier Problems This document contains
More informationThe Prediction Algorithm Based on Fuzzy Logic Using Time Series Data Mining Method
The Predcon Algorhm Based on Fuzzy Logc Usng Tme Seres Daa Mnng Mehod I Aydn, M Karakose, and E Akn Asrac Predcon of an even a a me seres s que mporan for engneerng and economy prolems Tme seres daa mnng
More informationTECHNIQUES OF. C.T. Pan 1. C.T. Pan
TECHNIQUES OF CIRCUIT ANALYSIS C.T. Pan 1 4.1 Introduction 4.2 The NodeVoltage Method ( Nodal Analysis ) 4.3 The MeshCurrent Method ( Mesh Analysis ) 4.4 Fundamental Loop Analysis 4.5 Fundamental Cutset
More informationEMF and Terminal Voltage Resistors in Series and Parallel Kirchhoff s Rules EMFs in Series and Parallel; Charging a Battery Circuits with Capacitors
Chapter 19 DC Electrical Circuits Topics in Chapter 19 EMF and Terminal Voltage Resistors in Series and Parallel Kirchhoff s Rules EMFs in Series and Parallel; Charging a Battery Circuits with Capacitors
More informationKirchhoff's Current Law (KCL)
Kirchhoff's Current Law (KCL) I. Charge (current flow) conservation law (the Kirchhoff s Current law) Pipe Pipe Pipe 3 Total volume of water per second flowing through pipe = total volume of water per
More informationLaboratory Manual for Linear Electronics
2 Laboratory Manual for Linear Electronics Laboratory Manual for Linear Electronics by James M. Fiore Version 1.1.4, 04 May 2015 Laboratory Manual for Linear Electronics 3 This Laboratory Manual for Linear
More informationA 3D Model Retrieval System Using The Derivative Elevation And 3DART
3 Model Rereal Sysem Usng he erae leaon nd 3R JauLng Shh* ngyen Huang Yuhen Wang eparmen of ompuer Scence and Informaon ngneerng hung Hua Unersy Hsnchu awan RO mal: sjl@chueduw bsrac In recen years
More informationMethodology of the CBOE S&P 500 PutWrite Index (PUT SM ) (with supplemental information regarding the CBOE S&P 500 PutWrite TW Index (PWT SM ))
ehodology of he CBOE S&P 500 PuWre Index (PUT S ) (wh supplemenal nformaon regardng he CBOE S&P 500 PuWre TW Index (PWT S )) The CBOE S&P 500 PuWre Index (cker symbol PUT ) racks he value of a passve
More information11/6/2013. Chapter 14: Dynamic ADAS. Introduction. Introduction. Keeping track of time. The model s elements
Inroducion Chaper 14: Dynamic DS dynamic model of aggregae and aggregae supply gives us more insigh ino how he economy works in he shor run. I is a simplified version of a DSGE model, used in cuingedge
More informationSeries and Parallel Resistive Circuits
Series and Parallel Resistive Circuits The configuration of circuit elements clearly affects the behaviour of a circuit. Resistors connected in series or in parallel are very common in a circuit and act
More informationEXPERIMENT 1.2 CHARACTERIZATION OF OPAMP
1.17 EXPERIMENT 1.2 CHARACTERIZATION OF OPAMP 1.2.1 OBJECTIVE 1. To sketch and briefly explain an operational amplifier circuit symbol and identify all terminals 2. To list the amplifier stages in a typical
More informationSignal Rectification
9/3/25 Signal Recificaion.doc / Signal Recificaion n imporan applicaion of juncion diodes is signal recificaion. here are wo ypes of signal recifiers, halfwae and fullwae. Le s firs consider he ideal
More informationA Hybrid AANNKPCA Approach to Sensor Data Validation
Proceedngs of he 7h WSEAS Inernaonal Conference on Appled Informacs and Communcaons, Ahens, Greece, Augus 46, 7 85 A Hybrd AANNKPCA Approach o Sensor Daa Valdaon REZA SHARIFI, REZA LANGARI Deparmen of
More informationLecture 7 Circuit analysis via Laplace transform
S. Boyd EE12 Lecture 7 Circuit analysis via Laplace transform analysis of general LRC circuits impedance and admittance descriptions natural and forced response circuit analysis with impedances natural
More informationPROFIT TEST MODELLING IN LIFE ASSURANCE USING SPREADSHEETS PART ONE
Profi Tes Modelling in Life Assurance Using Spreadshees PROFIT TEST MODELLING IN LIFE ASSURANCE USING SPREADSHEETS PART ONE Erik Alm Peer Millingon 2004 Profi Tes Modelling in Life Assurance Using Spreadshees
More informationJ.L. Kirtley Jr. Electric network theory deals with two primitive quantities, which we will refer to as: 1. Potential (or voltage), and
Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.061 Introduction to Power Systems Class Notes Chapter 1: eiew of Network Theory J.L. Kirtley Jr. 1 Introduction
More informationPHYSICS 161 EXAM III: Thursday December 04, 2003 11:00 a.m.
PHYS 6: Eam III Fall 003 PHYSICS 6 EXAM III: Thusda Decembe 04, 003 :00 a.m. Po. N. S. Chan. Please pn ou name and ene ou sea numbe o den ou and ou eamnaon. Suden s Pned Name: Recaon Secon Numbe: Sea Numbe:.
More informationW04 Transistors and Applications. Yrd. Doç. Dr. Aytaç Gören
W04 Transistors and Applications W04 Transistors and Applications ELK 2018  Contents W01 Basic Concepts in Electronics W02 AC to DC Conversion W03 Analysis of DC Circuits (self and condenser) W04 Transistors
More informationHEAT CONDUCTION PROBLEM IN A TWOLAYERED HOLLOW CYLINDER BY USING THE GREEN S FUNCTION METHOD
Journal of Appled Mahemacs and Compuaonal Mechancs 3, (), 455 HEAT CONDUCTION PROBLEM IN A TWOLAYERED HOLLOW CYLINDER BY USING THE GREEN S FUNCTION METHOD Sansław Kukla, Urszula Sedlecka Insue of Mahemacs,
More informationA Mathematical Description of MOSFET Behavior
10/19/004 A Mahemaical Descripion of MOSFET Behavior.doc 1/8 A Mahemaical Descripion of MOSFET Behavior Q: We ve learned an awful lo abou enhancemen MOSFETs, bu we sill have ye o esablished a mahemaical
More informationµ r of the ferrite amounts to 1000...4000. It should be noted that the magnetic length of the + δ
Page 9 Design of Inducors and High Frequency Transformers Inducors sore energy, ransformers ransfer energy. This is he prime difference. The magneic cores are significanly differen for inducors and high
More informationKalman filtering as a performance monitoring technique for a propensity scorecard
Kalman flerng as a performance monorng echnque for a propensy scorecard Kaarzyna Bjak * Unversy of Souhampon, Souhampon, UK, and Buro Informacj Kredyowej S.A., Warsaw, Poland Absrac Propensy scorecards
More informationAnalyzing Energy Use with Decomposition Methods
nalyzng nergy Use wh Decomposon Mehods eve HNN nergy Technology Polcy Dvson eve.henen@ea.org nergy Tranng Week Pars 1 h prl 213 OCD/ 213 Dscusson nergy consumpon and energy effcency? How can energy consumpon
More informationChapter 6: Business Valuation (Income Approach)
Chaper 6: Business Valuaion (Income Approach) Cash flow deerminaion is one of he mos criical elemens o a business valuaion. Everyhing may be secondary. If cash flow is high, hen he value is high; if he
More informationChapter 2: Principles of steadystate converter analysis
Chaper 2 Principles of SeadySae Converer Analysis 2.1. Inroducion 2.2. Inducor volsecond balance, capacior charge balance, and he small ripple approximaion 2.3. Boos converer example 2.4. Cuk converer
More informationChapter 5. Parallel Circuits ISU EE. C.Y. Lee
Chapter 5 Parallel Circuits Objectives Identify a parallel circuit Determine the voltage across each parallel branch Apply Kirchhoff s current law Determine total parallel resistance Apply Ohm s law in
More information