Lecture 10: Small Signal Device Parameters
|
|
- Mary Waters
- 5 years ago
- Views:
Transcription
1 Lecture 0: Small Sgnal Dece Parameters Lecture 9, Hgh Speed Deces 06
2 Lecture : Ballstc FETs Lu: 0, Lecture 9, Hgh Speed Deces 06
3 Large Sgnal / Small Sgnal e I E c I C The electrcal sgnal s often small. be BE Dde the total oltage/current nto a large (DC) and small (AC) sgnal. We are manl nterested n the small sgnal part. We can make a Talor expanson around the bas oltage. Nonlnear constant bas current oltage and lnear AC arng sgnal current/oltage. E I E e f BE, f BE be f Bas Current BE I E Sgnal Current be C I C c f f BE, be IC be BE f BE Lecture 9, Hgh Speed Deces 06 3
4 port parameters E C B port E C I I E C e c f f BE, f f BE BE, be BE be f f BE BE 0 0 z z z z Can transform to dfferent parameter sets Lecture 9, Hgh Speed Deces 06 4
5 Y,z,ABCD,h,g Admttance z z Impedance z z A C ABCD/ cascade/ aparameters g g Inerse hbrd parameters B D g g h h Hbrd parameters bparameters b b h h b b Lecture 9, Hgh Speed Deces 06 5
6 Conerson between parameter sets From Electrc Crcuts, J. W. Nlsson and S.A. Redel Lecture 9, Hgh Speed Deces 06 6
7 Shunt/Seres addton Shunt b Seres z b a z a c z c c = a b z c = z a z b Lecture 9, Hgh Speed Deces 06 7
8 Cascade, Serer/Parallel addtons Cascade Seres/parallel h b ABCD a ABCD b ABCD c ABCD c = ABCD a ABCD b h a h c h c = h a h b gparameters parallel/seres: g c =g a g b Lecture 9, Hgh Speed Deces 06 8
9 DC parameters models g d = 0 0 g m g d gs ds = gg gd dg dd gs ds g gs d ds b c = I c β t 0 I C t 0 be ce = bb bc cc be ce b be c ce If we know the parameters for one confguraton we can calculate the parameters for a dfferent confguraton! s sg d dg Lecture 9, Hgh Speed Deces 06 9
10 Indefnte Admttance Matrx e e c c 3 e b c ee be ce eb bb ec bc cc e b c b b If e = c = b = : how large s e b and c? CE: bb, bc,, cc Wh s ce ec =0 If e = and b = c =0 : how large s e b c? Wh s ee be ce =0 : ee, ec, cc, ce All rows and columns hae to sum up to zero! Lecture 9, Hgh Speed Deces 06 0
11 CS/CC/CG CS/CD/CG confguratons Same for FETs but wth: C D E S B G From Rado Electroncs, L. Sundström, G. Jönsson and H. Börjesson Lecture 9, Hgh Speed Deces 06
12 Yparameters for common gate transstor s d = g m g d g d (g m g D ) g d sg dg = ss sd ds dd sg dg s sg d dg Lecture 9, Hgh Speed Deces 06
13 Hbrd pmodel : Crcut Representaton Crcut representaton of parameters A transstor (three termnal dece) alwas hae a common termnal ( ) Hbrd p representaton pf parameters. ald f there s a common termnal. One current source less. usuall hae a drect phscal nterpretaton Lecture 9, Hgh Speed Deces 06 3
14 Tme Harmonc Sgnals jw be BE ~ e ~ c e I E c I C Use complex notaton for small sgnal oltages. If nput terms are snusodal, the output wll also be snusodal ampltude & phase shft. complex matrx ee ce ec cc ~ ~ be E be C be E C BE ~ ~ be be be ~ bee ~ e ~ bee ~ e jw jw jw jw Goal s to dentf the dfferent parameters from fundamental transstor phscs Ampltude & phase Lecture 9, Hgh Speed Deces 06 4
15 Complex small sgnal parameters We wll determne that the parameters can be wrtten as real an magnar parts, wth the magnar parts correspondng to capacte elements. Intrnsc (quas statc) parameters for a FET. g d = jωc gg jωc dg gs g m jωc dg g d jωc dd = gg gd gs ds dg dd ds Where g m, C gg, C dg orgnates from the phscs of the transstor. The dfferent parameters thus depend of w, GS, DS and the geometr of the transstors Lecture 9, Hgh Speed Deces 06 5
16 Current Gan h port Maxmum current gan s short crcuted h = =0 = = Appl a test oltage to the nport: h = =0 = The current gan tpcall decreases wth frequenc h = corresponds to the transton frequenc, f T Lecture 9, Hgh Speed Deces 06 6
17 Power Gan I Transducer Gan S P n P a,l port P L L Power aalable from source: Pa,s Power delered at load: P L P a,s P L G T = P L P a,s Transducer Gan Power gan can be seen as a two step process: Power s delered from the source to the nput of the transstor Power s delered from the output of the transstor to the load G T = 4Re L Re s s L To maxmze the transducer gan we must correctl select the source and load mpedances! 0600 Lecture 9, Hgh Speed Deces 06 7
18 Power Gan II S S [] L [] L n out n = L Dece nput mpedance as seen from the source out = s Dece nput mpedance as seen from the load Maxmum power transfer requres that both the source and the load are conjugated matched s = n L = out Lecture 9, Hgh Speed Deces 06 8
19 Maxmum Gan Aalable and Stable G T,max = K K K = Re Re Re > If K>: The transstor s uncondtonall stable G T,max = K K = MAG K: Rollet Stablt factor Ths s the Maxmum Aalable Gan If K<: For maxmum gan, the transstor s unstable. B addng shunt resstances to and we can make K=. The maxmum gan s then G T,max = Ths s the Maxmum Stable Gan Ths corresponds to n / out beng negate for optmal s / L. The power gan tpcall decreases wth frequenc. G T,max = corresponds to the maxmum oscllaton frequenc, f max. Need two functons to descrbe G T,max (w). Not used for extrapolaton Lecture 9, Hgh Speed Deces 06 9
20 Unlateral Gan K = Re Re Re > A nonzero can cause a dece to be unstable. We can alwas elmnate through a passe, lossless feedback network. The maxmum transducer gan of ths network s called Mason s unlateral gan, U. Example: caused b a capactor can be cancelled b a nductor (at one frequenc) Ths ges one equaton ald for all alues of. U = 4 Re Re Re Re U = also ges f max Ths s the same as from MSG/MAG. U s the same for CC/CG/CS stages Lecture 9, Hgh Speed Deces 06 0
Lecture 8: Small signal parameters and hybrid-π model Lecture 9, High Speed Devices 2016
Lecture 8: Small sgnal parameters and hbrdπ model π 08006 Lecture 9, Hgh Speed Deces 06 Lecture 8: Small sgnal parameters and hbrdπ model Lterature: Twoport networks Transstors for hgh frequences How to
More information55:141 Advanced Circuit Techniques Two-Port Theory
55:4 Adanced Crcut Technques Two-Port Theory Materal: Lecture Notes A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 205 Two-Port Theory, Slde Two-Port Networks Note, the BJT s all are hghly
More informationWeek 11: Differential Amplifiers
ELE 0A Electronc rcuts Week : Dfferental Amplfers Lecture - Large sgnal analyss Topcs to coer A analyss Half-crcut analyss eadng Assgnment: hap 5.-5.8 of Jaeger and Blalock or hap 7. - 7.3, of Sedra and
More information55:141 Advanced Circuit Techniques Two-Port Theory
55:4 Adanced Crcut Technques Two-Port Theory Materal: Lecture Notes A. Kruger 55:4: Adanced Crcut Technques The Unersty of Iowa, 03 Two-Port Theory, Slde What Are Two-Ports? Basc dea: replace a complex
More information55:041 Electronic Circuits
55:04 Electronc Crcuts Feedback & Stablty Sectons of Chapter 2. Kruger Feedback & Stablty Confguraton of Feedback mplfer Negate feedback β s the feedback transfer functon S o S S o o S S o f S S S S fb
More information55:041 Electronic Circuits
55:04 Electronc Crcuts Feedback & Stablty Sectons of Chapter 2. Kruger Feedback & Stablty Confguraton of Feedback mplfer S o S ε S o ( S β S ) o Negate feedback S S o + β β s the feedback transfer functon
More informationElectrical Engineering Department Network Lab.
Electrcal Engneerng Department Network Lab. Objecte: - Experment on -port Network: Negate Impedance Conerter To fnd the frequency response of a smple Negate Impedance Conerter Theory: Negate Impedance
More informationFormulation of Circuit Equations
ECE 570 Sesson 2 IC 752E Computer Aded Engneerng for Integrated Crcuts Formulaton of Crcut Equatons Bascs of crcut modelng 1. Notaton 2. Crcut elements 3. Krchoff laws 4. ableau formulaton 5. Modfed nodal
More informationCOLLEGE OF ENGINEERING PUTRAJAYA CAMPUS FINAL EXAMINATION SPECIAL SEMESTER 2013 / 2014
OLLEGE OF ENGNEENG PUTAJAYA AMPUS FNAL EXAMNATON SPEAL SEMESTE 03 / 04 POGAMME SUBJET ODE SUBJET : Bachelor of Electrcal & Electroncs Engneerng (Honours) Bachelor of Electrcal Power Engneerng (Honours)
More informationElectrical Circuits II (ECE233b)
Electrcal Crcuts (ECE33b SteadyState Power Analyss Anests Dounas The Unersty of Western Ontaro Faculty of Engneerng Scence SteadyState Power Analyss (t AC crcut: The steady state oltage and current can
More informationCoupling Element and Coupled circuits. Coupled inductor Ideal transformer Controlled sources
Couplng Element and Coupled crcuts Coupled nductor Ideal transformer Controlled sources Couplng Element and Coupled crcuts Coupled elements hae more that one branch and branch oltages or branch currents
More informationTUTORIAL PROBLEMS. E.1 KCL, KVL, Power and Energy. Q.1 Determine the current i in the following circuit. All units in VAΩ,,
196 E TUTORIAL PROBLEMS E.1 KCL, KVL, Power and Energy Q.1 Determne the current n the followng crcut. 3 5 3 8 9 6 5 Appendx E Tutoral Problems 197 Q. Determne the current and the oltage n the followng
More informationCircuits II EE221. Instructor: Kevin D. Donohue. Instantaneous, Average, RMS, and Apparent Power, and, Maximum Power Transfer, and Power Factors
Crcuts II EE1 Unt 3 Instructor: Ken D. Donohue Instantaneous, Aerage, RMS, and Apparent Power, and, Maxmum Power pp ransfer, and Power Factors Power Defntons/Unts: Work s n unts of newton-meters or joules
More informationTransfer Characteristic
Eeld-Effect Transstors (FETs 3.3 The CMS Common-Source Amplfer Transfer Characterstc Electronc Crcuts, Dept. of Elec. Eng., The Chnese Unersty of Hong Kong, Prof. K.-L. Wu Lesson 8&9 Eeld-Effect Transstors
More informationCollege of Engineering Department of Electronics and Communication Engineering. Test 2
Name: Student D Number: Secton Number: 01/0/03/04 A/B Lecturer: Dr Jamaludn/ Dr Azn Wat/ Dr Jehana Ermy/ Prof Md Zan Table Number: ollege of Engneerng Department of Electroncs and ommuncaton Engneerng
More informationCopyright 2004 by Oxford University Press, Inc.
JT as an Amplfer &a Swtch, Large Sgnal Operaton, Graphcal Analyss, JT at D, asng JT, Small Sgnal Operaton Model, Hybrd P-Model, TModel. Lecture # 7 1 Drecton of urrent Flow & Operaton for Amplfer Applcaton
More informationVI. Transistor Amplifiers
VI. Transstor Amplfers 6. Introducton In ths secton we wll use the transstor small-sgnal model to analyze and desgn transstor amplfers. There are two ssues that we need to dscuss frst: ) What are the mportant
More informationCollege of Engineering Department of Electronics and Communication Engineering. Test 1 With Model Answer
Name: Student D Number: Secton Number: 01/0/03/04 A/B Lecturer: Dr Jamaludn/ Dr Jehana Ermy/ Dr Azn Wat Table Number: College of Engneerng Department of Electroncs and Communcaton Engneerng Test 1 Wth
More informationEnergy Storage Elements: Capacitors and Inductors
CHAPTER 6 Energy Storage Elements: Capactors and Inductors To ths pont n our study of electronc crcuts, tme has not been mportant. The analyss and desgns we hae performed so far hae been statc, and all
More informationDiode. Current HmAL Voltage HVL Simplified equivalent circuit. V γ. Reverse bias. Forward bias. Designation: Symbol:
Dode Materal: Desgnaton: Symbol: Poste Current flow: ptype ntype Anode Cathode Smplfed equalent crcut Ideal dode Current HmAL 0 8 6 4 2 Smplfed model 0.5.5 2 V γ eal dode Voltage HVL V γ closed open V
More informationEE 330 Lecture 24. Small Signal Analysis Small Signal Analysis of BJT Amplifier
EE 0 Lecture 4 Small Sgnal Analss Small Sgnal Analss o BJT Ampler Eam Frda March 9 Eam Frda Aprl Revew Sesson or Eam : 6:00 p.m. on Thursda March 8 n Room Sweene 6 Revew rom Last Lecture Comparson o Gans
More informationFEEDBACK AMPLIFIERS. v i or v s v 0
FEEDBCK MPLIFIERS Feedback n mplers FEEDBCK IS THE PROCESS OF FEEDING FRCTION OF OUTPUT ENERGY (VOLTGE OR CURRENT) BCK TO THE INPUT CIRCUIT. THE CIRCUIT EMPLOYED FOR THIS PURPOSE IS CLLED FEEDBCK NETWORK.
More informationECE 320 Energy Conversion and Power Electronics Dr. Tim Hogan. Chapter 1: Introduction and Three Phase Power
ECE 3 Energy Conerson and Power Electroncs Dr. Tm Hogan Chapter : ntroducton and Three Phase Power. eew of Basc Crcut Analyss Defntons: Node - Electrcal juncton between two or more deces. Loop - Closed
More informationIndependent Device Currents
Independent Dece Currents j Snce KCL = j k k Only one ndependent current can be defned for each termnal dece. Snce KCL = Only ndependent currents can be defned for a termnal dece. Snce KVL = Only ndependent
More informationProf. Paolo Colantonio a.a
Pro. Paolo olantono a.a. 3 4 Let s consder a two ports network o Two ports Network o L For passve network (.e. wthout nternal sources or actve devces), a general representaton can be made by a sutable
More informationR. W. Erickson. Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder
R. W. Erckson Department of Electrcal, Computer, and Energy Engneerng Unersty of Colorado, Boulder 3.5. Example: ncluson of semconductor conducton losses n the boost conerter model Boost conerter example
More informationLinearity. If kx is applied to the element, the output must be ky. kx ky. 2. additivity property. x 1 y 1, x 2 y 2
Lnearty An element s sad to be lnear f t satsfes homogenety (scalng) property and addte (superposton) property. 1. homogenety property Let x be the nput and y be the output of an element. x y If kx s appled
More information(b) i(t) for t 0. (c) υ 1 (t) and υ 2 (t) for t 0. Solution: υ 2 (0 ) = I 0 R 1 = = 10 V. υ 1 (0 ) = 0. (Given).
Problem 5.37 Pror to t =, capactor C 1 n the crcut of Fg. P5.37 was uncharged. For I = 5 ma, R 1 = 2 kω, = 5 kω, C 1 = 3 µf, and C 2 = 6 µf, determne: (a) The equvalent crcut nvolvng the capactors for
More informationDepartment of Electrical and Computer Engineering FEEDBACK AMPLIFIERS
Department o Electrcal and Computer Engneerng UNIT I EII FEEDBCK MPLIFIES porton the output sgnal s ed back to the nput o the ampler s called Feedback mpler. Feedback Concept: block dagram o an ampler
More informationI. INTRODUCTION. There are two other circuit elements that we will use and are special cases of the above elements. They are:
I. INTRODUCTION 1.1 Crcut Theory Fundamentals In ths course we study crcuts wth non-lnear elements or deces (dodes and transstors). We wll use crcut theory tools to analyze these crcuts. Snce some of tools
More informationECSE Linearity Superposition Principle Superposition Example Dependent Sources. 10 kω. 30 V 5 ma. 6 kω. 2 kω
S-00 Lnearty Superposton Prncple Superposton xample Dependent Sources Lecture 4. sawyes@rp.edu www.rp.edu/~sawyes 0 kω 6 kω 8 V 0 V 5 ma 4 Nodes Voltage Sources Ref Unknown Node Voltage, kω If hae multple
More information+ v i F02E2P2 I. Solution (a.) The small-signal transfer function of the stages can be written as, V out (s) V in (s) = g m1 /g m3.
ECE 6440 Summer 003 Page 1 Homework Assgnment No. 7 s Problem 1 (10 ponts) A fourstage rng oscllator used as the VCO n a PLL s shown. Assume that M1 and M are matched and M3 and M4 are matched. Also assume
More informationGraphical Analysis of a BJT Amplifier
4/6/2011 A Graphcal Analyss of a BJT Amplfer lecture 1/18 Graphcal Analyss of a BJT Amplfer onsder agan ths smple BJT amplfer: ( t) = + ( t) O O o B + We note that for ths amplfer, the output oltage s
More informationCHAPTER 13. Exercises. E13.1 The emitter current is given by the Shockley equation:
HPT 3 xercses 3. The emtter current s gen by the Shockley equaton: S exp VT For operaton wth, we hae exp >> S >>, and we can wrte VT S exp VT Solng for, we hae 3. 0 6ln 78.4 mv 0 0.784 5 4.86 V VT ln 4
More informationEE C245 ME C218 Introduction to MEMS Design
EE C45 ME C8 Introducton to MEM Desgn Fall 7 Prof. Clark T.C. Nguyen Dept. of Electrcal Engneerng & Computer cences Unersty of Calforna at Berkeley Berkeley, C 947 Dscusson: eew of Op mps EE C45: Introducton
More informationLecture 5: Operational Amplifiers and Op Amp Circuits
Lecture 5: peratonal mplers and p mp Crcuts Gu-Yeon We Dson o Engneerng and ppled Scences Harard Unersty guyeon@eecs.harard.edu We erew eadng S&S: Chapter Supplemental eadng Background rmed wth our crcut
More informationAdvanced Circuits Topics - Part 1 by Dr. Colton (Fall 2017)
Advanced rcuts Topcs - Part by Dr. olton (Fall 07) Part : Some thngs you should already know from Physcs 0 and 45 These are all thngs that you should have learned n Physcs 0 and/or 45. Ths secton s organzed
More informationRevision of intermediate electronics
Revson of ntermedate electroncs ports, feedback and flters Imperal College London EEE Generalsed Thevenn + Norton Theorems: port parameters Amplfers, flters etc have nput and output Input can be voltage
More informationBoise State University Department of Electrical and Computer Engineering ECE 212L Circuit Analysis and Design Lab
Bose State Unersty Department of Electrcal and omputer Engneerng EE 1L rcut Analyss and Desgn Lab Experment #8: The Integratng and Dfferentatng Op-Amp rcuts 1 Objectes The objectes of ths laboratory experment
More informationBoise State University Department of Electrical and Computer Engineering ECE 212L Circuit Analysis and Design Lab
Bose State Unersty Department of Electrcal and omputer Engneerng EE 1L rcut Analyss and Desgn Lab Experment #8: The Integratng and Dfferentatng Op-Amp rcuts 1 Objectes The objectes of ths laboratory experment
More informationS-Domain Analysis. s-domain Circuit Analysis. EE695K VLSI Interconnect. Time domain (t domain) Complex frequency domain (s domain) Laplace Transform L
EE695K S nterconnect S-Doman naly -Doman rcut naly Tme doman t doman near rcut aplace Tranform omplex frequency doman doman Tranformed rcut Dfferental equaton lacal technque epone waveform aplace Tranform
More informationEE 2006 Electric Circuit Analysis Fall September 04, 2014 Lecture 02
EE 2006 Electrc Crcut Analyss Fall 2014 September 04, 2014 Lecture 02 1 For Your Informaton Course Webpage http://www.d.umn.edu/~jngba/electrc_crcut_analyss_(ee_2006).html You can fnd on the webpage: Lecture:
More informationModule B3 3.1 Sinusoidal steady-state analysis (single-phase), a review 3.2 Three-phase analysis. Kirtley
Module B3 3.1 Snusodal steady-state analyss (sngle-phase), a reew 3. hree-phase analyss Krtley Chapter : AC oltage, Current and Power.1 Sources and Power. Resstors, Inductors, and Capactors Chapter 4:
More informationTwo Port Characterizations
lectronc Crcuts Two Port Characterzatons Contents Input and output resstances Two port networks Models Prof. C.K. Tse: -port networks Impedances and loadng effects Voltage amplfers R s R out smaller the
More informationThe Decibel and its Usage
The Decbel and ts Usage Consder a two-stage amlfer system, as shown n Fg.. Each amlfer rodes an ncrease of the sgnal ower. Ths effect s referred to as the ower gan,, of the amlfer. Ths means that the sgnal
More informationChapter 10 Sinusoidal Steady-State Power Calculations
Chapter 0 Snusodal Steady-State Power Calculatons n Chapter 9, we calculated the steady state oltages and currents n electrc crcuts dren by snusodal sources. We used phasor ethod to fnd the steady state
More information( ) = ( ) + ( 0) ) ( )
EETOMAGNETI OMPATIBIITY HANDBOOK 1 hapter 9: Transent Behavor n the Tme Doman 9.1 Desgn a crcut usng reasonable values for the components that s capable of provdng a tme delay of 100 ms to a dgtal sgnal.
More informationANALOG ELECTRONICS I. Transistor Amplifiers DR NORLAILI MOHD NOH
241 ANALO LTRONI I Lectures 2&3 ngle Transstor Amplfers R NORLAILI MOH NOH 3.3 Basc ngle-transstor Amplfer tages 3 dfferent confguratons : 1. ommon-emtter ommon-source Ib B R I d I c o R o gnal appled
More informationEE215 FUNDAMENTALS OF ELECTRICAL ENGINEERING
EE215 FUNDAMENTALS OF ELECTRICAL ENGINEERING TaChang Chen Unersty of Washngton, Bothell Sprng 2010 EE215 1 WEEK 8 FIRST ORDER CIRCUIT RESPONSE May 21 st, 2010 EE215 2 1 QUESTIONS TO ANSWER Frst order crcuts
More information6.01: Introduction to EECS I Lecture 7 March 15, 2011
6.0: Introducton to EECS I Lecture 7 March 5, 20 6.0: Introducton to EECS I Crcuts The Crcut Abstracton Crcuts represent systems as connectons of elements through whch currents (through arables) flow and
More informationEE 2006 Electric Circuit Analysis Spring January 23, 2015 Lecture 02
EE 2006 Electrc Crcut Analyss Sprng 2015 January 23, 2015 Lecture 02 1 Lab 1 Dgtal Multmeter Lab nstructons Aalable onlne Prnt out and read before Lab MWAH 391, 4:00 7:00 pm, next Monday or Wednesday (January
More informationELG 2135 ELECTRONICS I SECOND CHAPTER: OPERATIONAL AMPLIFIERS
ELG 35 ELECTONICS I SECOND CHAPTE: OPEATIONAL AMPLIFIES Sesson Wnter 003 Dr. M. YAGOUB Second Chapter: Operatonal amplfers II - _ After reewng the basc aspects of amplfers, we wll ntroduce a crcut representng
More informationKey component in Operational Amplifiers
Key component n Operatonal Amplfers Objectve of Lecture Descrbe how dependent voltage and current sources functon. Chapter.6 Electrcal Engneerng: Prncples and Applcatons Chapter.6 Fundamentals of Electrc
More information1.4 Small-signal models of BJT
1.4 Small-sgnal models of J Analog crcuts often operate wth sgnal levels that are small compared to the bas currents and voltages n the crcut. Under ths condton, ncremental or small-sgnal models can be
More informationRevision: December 13, E Main Suite D Pullman, WA (509) Voice and Fax
.9.1: AC power analyss Reson: Deceber 13, 010 15 E Man Sute D Pullan, WA 99163 (509 334 6306 Voce and Fax Oerew n chapter.9.0, we ntroduced soe basc quanttes relate to delery of power usng snusodal sgnals.
More information5.6 Small-Signal Operation and Models
3/16/2011 secton 5_6 Small Sgnal Operaton and Models 1/2 5.6 Small-Sgnal Operaton and Models Readng Assgnment: 443-458 Now let s examne how we use BJTs to construct amplfers! The frst mportant desgn rule
More information6.01: Introduction to EECS 1 Week 6 October 15, 2009
6.0: ntroducton to EECS Week 6 October 5, 2009 6.0: ntroducton to EECS Crcuts The Crcut Abstracton Crcuts represent systems as connectons of component through whch currents (through arables) flow and across
More informationDesign of Analog Integrated Circuits
Desgn f Analg Integrated Crcuts I. Amplfers Desgn f Analg Integrated Crcuts Fall 2012, Dr. Guxng Wang 1 Oerew Basc MOS amplfer structures Cmmn-Surce Amplfer Surce Fllwer Cmmn-Gate Amplfer Desgn f Analg
More informationChapter 6. Operational Amplifier. inputs can be defined as the average of the sum of the two signals.
6 Operatonal mpler Chapter 6 Operatonal mpler CC Symbol: nput nput Output EE () Non-nvertng termnal, () nvertng termnal nput mpedance : Few mega (ery hgh), Output mpedance : Less than (ery low) Derental
More informationII. PASSIVE FILTERS. H(j ω) Pass. Stop
II. PASSIE FILTES Frequency-selectve or flter crcuts pass to the output only those nput sgnals that are n a desred range of frequences (called pass band). The ampltude of sgnals outsde ths range of frequences
More informationDEMO #8 - GAUSSIAN ELIMINATION USING MATHEMATICA. 1. Matrices in Mathematica
demo8.nb 1 DEMO #8 - GAUSSIAN ELIMINATION USING MATHEMATICA Obectves: - defne matrces n Mathematca - format the output of matrces - appl lnear algebra to solve a real problem - Use Mathematca to perform
More informationELCT 503: Semiconductors. Fall 2014
EL503 Semconductors Fall 2014 Lecture 09: BJ rcut Analyss Dr. Hassan Mostafa د. حسن مصطفى hmostafa@aucegypt.edu EL 503: Semconductors ntroducton npn transstor pnp transstor EL 503: Semconductors ntroducton
More informationFE REVIEW OPERATIONAL AMPLIFIERS (OP-AMPS)( ) 8/25/2010
FE REVEW OPERATONAL AMPLFERS (OP-AMPS)( ) 1 The Op-amp 2 An op-amp has two nputs and one output. Note the op-amp below. The termnal labeled l wth the (-) sgn s the nvertng nput and the nput labeled wth
More informationComputer-Aided Circuit Simulation and Verification. CSE245 Fall 2004 Professor:Chung-Kuan Cheng
Computer-Aded Crcut Smulaton and Verfcaton CSE245 Fall 24 Professor:Chung-Kuan Cheng Admnstraton Lectures: 5:pm ~ 6:2pm TTH HSS 252 Offce Hours: 4:pm ~ 4:45pm TTH APM 4256 Textbook Electronc Crcut and
More informationV V. This calculation is repeated now for each current I.
Page1 Page2 The power supply oltage V = +5 olts and the load resstor R = 1 k. For the range of collector bas currents, I = 0.5 ma, 1 ma, 2.5 ma, 4 ma and 4.5 ma, determne the correspondng collector-to-emtter
More informationTransfer Functions. Convenient representation of a linear, dynamic model. A transfer function (TF) relates one input and one output: ( ) system
Transfer Functons Convenent representaton of a lnear, dynamc model. A transfer functon (TF) relates one nput and one output: x t X s y t system Y s The followng termnology s used: x y nput output forcng
More informationG = G 1 + G 2 + G 3 G 2 +G 3 G1 G2 G3. Network (a) Network (b) Network (c) Network (d)
Massachusetts Insttute of Technology Department of Electrcal Engneerng and Computer Scence 6.002 í Electronc Crcuts Homework 2 Soluton Handout F98023 Exercse 21: Determne the conductance of each network
More informationI. INTRODUCTION. 1.1 Circuit Theory Fundamentals
I. INTRODUCTION 1.1 Crcut Theory Fundamentals Crcut theory s an approxmaton to Maxwell s electromagnetc equatons n order to smplfy analyss of complcated crcuts. A crcut s made of seeral elements (boxes
More information4.1 The Ideal Diode. Reading Assignment: pp Before we get started with ideal diodes, let s first recall linear device behavior!
1/25/2012 secton3_1the_ideal_ode 1/2 4.1 The Ideal ode Readng Assgnment: pp.165-172 Before we get started wth deal dodes, let s frst recall lnear dece behaor! HO: LINEAR EVICE BEHAVIOR Now, the deal dode
More informationDescriptor and nonlinear eigenvalue problems in the analysis of large electrical power systems. Nelson Martins Sergio Gomes Jr. Sergio Luis Varricchio
Descrptor and nonlnear egenalue problems n the analss o large electrcal power sstems Nelson Martns Sergo Gomes Jr. Sergo Lus Varrccho Workshop on Nonlnear Egenalue Problems March 7 Descrptor and Nonlnear
More informationElectrical Circuits 2.1 INTRODUCTION CHAPTER
CHAPTE Electrcal Crcuts. INTODUCTION In ths chapter, we brefly revew the three types of basc passve electrcal elements: resstor, nductor and capactor. esstance Elements: Ohm s Law: The voltage drop across
More informationDriving your LED s. LED Driver. The question then is: how do we use this square wave to turn on and turn off the LED?
0//00 rng your LE.doc / rng your LE s As we hae preously learned, n optcal communcaton crcuts, a dgtal sgnal wth a frequency n the tens or hundreds of khz s used to ampltude modulate (on and off) the emssons
More informationVote today! Physics 122, Fall November (c) University of Rochester 1. Today in Physics 122: applications of induction
Phscs 1, Fall 01 6 Noember 01 Toda n Phscs 1: applcatons of nducton Generators, motors and back EMF Transformers Edd currents Vote toda! Hdropower generators on the Nagara Rer below the Falls. The ste
More informationmatter consists, measured in coulombs (C) 1 C of charge requires electrons Law of conservation of charge: charge cannot be created or
Basc Concepts Oerew SI Prefxes Defntons: Current, Voltage, Power, & Energy Passe sgn conenton Crcut elements Ideal s Portland State Unersty ECE 221 Basc Concepts Ver. 1.24 1 Crcut Analyss: Introducton
More informationFrequency-Domain Analysis of Transmission Line Circuits (Part 1)
Frequency-Doman Analyss of Transmsson Lne Crcuts (Part ) Outlne -port networs mpedance matrx representaton Admttance matrx representaton catterng matrx representaton eanng of the -parameters Generalzed
More informationCommon Base Configuration
ommon Base onfguraton nput caracterstcs: s. B wt B const Output caracterstc: s. B wt const Pcture from ref [2] S. Lneykn, ntroducton to electroncs Slde [53] ommon Base Termnal caracterstcs [2] α BO FB
More informationMAE140 - Linear Circuits - Winter 16 Final, March 16, 2016
ME140 - Lnear rcuts - Wnter 16 Fnal, March 16, 2016 Instructons () The exam s open book. You may use your class notes and textbook. You may use a hand calculator wth no communcaton capabltes. () You have
More informationPhysics 1202: Lecture 11 Today s Agenda
Physcs 122: Lecture 11 Today s Agenda Announcements: Team problems start ths Thursday Team 1: Hend Ouda, Mke Glnsk, Stephane Auger Team 2: Analese Bruder, Krsten Dean, Alson Smth Offce hours: Monday 2:3-3:3
More informationI = α I I. Bipolar Junction Transistors (BJTs) 2.15 The Emitter-Coupled Pair. By using KVL: V
Bpolar Juncton ransstors (BJs).5 he Emtter-oupled Par By usng KL: + + 0 Wth the transstors based n the forward-acte mode, the reerse saturaton current of the collector-base juncton s neglgble. / α F ES
More informationEE C245 ME C218 Introduction to MEMS Design Fall 2007
EE C45 ME C18 Introducton to MEMS Desgn Fall 007 Prof. Clark T.C. Nguyen Dept. of Electrcal Engneerng & Computer Scences Unversty of Calforna at Berkeley Berkeley, CA 9470 Lecture 8: Mnmum Detectable Sgnal
More informationWeek 9: Multivibrators, MOSFET Amplifiers
ELE 2110A Electronc Crcuts Week 9: Multbrators, MOSFET Aplfers Lecture 09-1 Multbrators Topcs to coer Snle-stae MOSFET aplfers Coon-source aplfer Coon-dran aplfer Coon-ate aplfer eadn Assnent: Chap 14.1-14.5
More informationChapter 9 Complete Response of Circuits with Two Storage Elements
hapter 9 omplete Response of rcuts wth Two Storage Elements In hapter 8, we had rreducble storage element and a frst order crcut. In hapter 9, we wll hae rreducble storage elements and therefore, a second
More informationOutput Stages and Power Amplifiers
Output Stages and Power Aplfers Output stages wth a low output resstance can delver the output voltage to the load wthout loss of gan. arge sgnal aplfer are used to drve a CT, a loud speaker, a servootor,
More information(8) Gain Stage and Simple Output Stage
EEEB23 Electoncs Analyss & Desgn (8) Gan Stage and Smple Output Stage Leanng Outcome Able to: Analyze an example of a gan stage and output stage of a multstage amplfe. efeence: Neamen, Chapte 11 8.0) ntoducton
More informationLecture #4 Capacitors and Inductors Energy Stored in C and L Equivalent Circuits Thevenin Norton
EES ntro. electroncs for S Sprng 003 Lecture : 0/03/03 A.R. Neureuther Verson Date 0/0/03 EES ntroducton to Electroncs for omputer Scence Andrew R. Neureuther Lecture # apactors and nductors Energy Stored
More informationSemistate Theory and Design of Analog VLSI Circuits
Semstate Theory and Desgn of Analog VLSI Crcuts Roert W. Newcom Electrcal and Computer Engneerng Department Unersty of Maryland, College Park, MD 74 USA URL: http://www.ece.umd.edu/~newcom/msla.html emal:
More informationFlyback Converter in DCM
Flyback Converter n CM m 1:n V O V S m I M m 1 1 V CCM: wth O V I I n and S 2 1 R L M m M m s m 1 CM: IM 2 m 1 1 V 1 Borderlne: O VS I n wth V nv 2 1 R 2 L 1 M m s O S m CM f R > R 2n crt 2 L m 2 (1 )
More informationCircuit Theorems. Introduction
//5 Crcut eorem ntroducton nearty Property uperpoton ource Tranformaton eenn eorem orton eorem Maxmum Power Tranfer ummary ntroducton To deelop analy technque applcable to lnear crcut. To mplfy crcut analy
More informationWhy working at higher frequencies?
Advanced course on ELECTRICAL CHARACTERISATION OF NANOSCALE SAMPLES & BIOCHEMICAL INTERFACES: methods and electronc nstrumentaton. MEASURING SMALL CURRENTS When speed comes nto play Why workng at hgher
More information210 Calle Solana, San Dimas, CA Tel. (909) ; Fax (909)
1 Crcuts and Systems Exposton THE GFT: A GENERAL YET PRACTICAL FEEDBACK THEOREM R. Dad Mddlebrook 210 Calle Solana, San Dmas, CA 91773 Tel. (909) 592-0317; Fax (909) 592-0698 EMal: rdm@rdmddlebrook.com
More informationDesigning Information Devices and Systems II Spring 2018 J. Roychowdhury and M. Maharbiz Discussion 3A
EECS 16B Desgnng Informaton Devces and Systems II Sprng 018 J. Roychowdhury and M. Maharbz Dscusson 3A 1 Phasors We consder snusodal voltages and currents of a specfc form: where, Voltage vt) = V 0 cosωt
More information( ) ( ) ( ) ( ) ( ) 1 2. ELEC 201 Electric Circuit Analysis I Lecture 8(a) RL and RC Circuits: Single Switch 11/9/2017. Driven RL Circuit: Equation
/9/7 Dren rcut: Equaton EE Electrc rcut Analyss I ecture 8(a) an rcuts: Sngle Swtch THE ITADE, THE MIITAY OEGE OF SOUTH AOINA All sles an content 7 Moultre courtesy Street, of harleston, Dr. Gregory S
More informationEE 330 Fall 2016 Seating
EE 0 Fall 06 Seatng 4 5 6 7 8 9 Brandon Bater Zachar Bennett Steven Warren Jakub Hladk Tmoth Lndqust Jacob Johnson Wllam Henthorn Danel Gren Xang L Y Qu Benjamn Gsler Davd Clark Benjamn Zckeoose Karla
More informationECE 2100 Circuit Analysis
ECE 00 Crcut Analyss Lesson 3 Chapter : AC Power Analyss (nstant & Ae Power; Max Ae Power Transfer; Effecte or RMS alue, Power Factor, Coplex Power, Power Trangle, Power Factor Correcton Danel M. Ltynsk,
More informationKIRCHHOFF CURRENT LAW
KRCHHOFF CURRENT LAW ONE OF THE FUNDAMENTAL CONSERATON PRNCPLES N ELECTRCAL ENGNEERNG CHARGE CANNOT BE CREATED NOR DESTROYED NODES, BRANCHES, LOOPS A NODE CONNECTS SEERAL COMPONENTS. BUT T DOES NOT HOLD
More informationi I (I + i) 3/27/2006 Circuits ( F.Robilliard) 1
4V I 2V (I + ) 0 0 --- 3V 1 2 4Ω 6Ω 3Ω 3/27/2006 Crcuts ( F.obllard) 1 Introducton: Electrcal crcuts are ubqutous n the modern world, and t s dffcult to oerstate ther mportance. They range from smple drect
More informationECE 2100 Circuit Analysis
ECE 00 Crcut Analyss Lesson 3 Chapter : AC Power Analyss (nstant & Ae Power; Max Ae Power Transfer; Effecte or RMS alue, Power Factor, Coplex Power, Power Trangle, Power Factor Correcton Danel M. Ltynsk,
More informationElectrochemistry Thermodynamics
CHEM 51 Analytcal Electrochemstry Chapter Oct 5, 016 Electrochemstry Thermodynamcs Bo Zhang Department of Chemstry Unversty of Washngton Seattle, WA 98195 Former SEAC presdent Andy Ewng sellng T-shrts
More informationES 330 Electronics II Homework 04 (Fall 2017 Due Wednesday, September 27, 2017)
Pae1 Nae Solutons ES 330 Electroncs II Hoework 04 (Fall 2017 Due Wednesday, Septeer 27, 2017) Prole 1 onsder the FET aplfer of F. 7.10 for the case of t =0.4, kn = 5 A/ 2, GS =0.6, DD = 1.8 and RD = 10
More informationAnnouncements. Lecture #2
Announcements Lectures wll be n 4 LeConte begnnng Frday 8/29 Addtonal dscusson TA Denns Chang (Sectons 101, 105) Offce hours: Mo 2-3 PM; Th 5-6 PM Lab sectons begn Tuesday 9/2 Read Experment #1 onlne Download
More information