Unit-I (Feedback amplifiers) Features of feedback amplifiers. Presentation by: S.Karthie, Lecturer/ECE SSN College of Engineering

Size: px
Start display at page:

Download "Unit-I (Feedback amplifiers) Features of feedback amplifiers. Presentation by: S.Karthie, Lecturer/ECE SSN College of Engineering"

Transcription

1 Uni-I Feedback ampliiers Feaures eedback ampliiers Presenain by: S.Karhie, Lecurer/ECE SSN Cllege Engineering

2 OBJECTIVES T make he sudens undersand he eec negaive eedback n he llwing ampliier characerisics: Gain Disrin Nise i/p & /p impedance Frequency respnse & Bandwidh

3

4 Feedback mpliier Circuis Feedback is reurn par he upu he inpu r a circui/sysem Feedback is very useul in Cnrl Thery and Sysems and is well researched mpliier circui can have negaive eedback and psiive eedback. Negaive eedback reurns par he upu ppse he inpu, whereas in psiive eedback he eedback signal aids he inpu signal. Bh negaive eedback and psiive eedback are used in ampliier circuis Negaive eedback can reduce he gain he ampliier, bu i has many advanages, such as sabilizain gain, reducin nnlinear disrin and nise, cnrl inpu and upu impedances, and eensin bandwidh

5 General srucure he eedback ampliier This is a signal-lw diagram, and he quaniies represen eiher vlage r curren signals

6 : : he he pen β : eedback s β : lp, β clsed gain lp i lp gain ceicien Gain rmula gain <, he hen he negaive ampliier ampliier eedback I β >>, hen / β. Thus, he clsed-lp gain wuld be much mre sable and is nearly independen changes pen-lp gain β I β >>, s s,s i s 0. β Thus, in a negaive eedback ampliier, he upu akes he value drive he ampliier inpu alms 0 his is summing pin cnsrains.

7 mpliier negaive eedback: T reduce nnlinear disrin

8 I a pre-ampliier wih gain 000 is placed bere he nnlinear ne s ha he whle ampliier is used wih negaive eedback, β >> and he gain r whle ampliier becmes: 9.99 r 0 < 9.98 r -0 < < 0 < 0 which grealy reduce he nnlinear disrin. This is achieved hrugh cmpensary disrin he inpu signal

9 mpliier negaive eedback: nise reducin SNR nise s nise s nise s β β β nise s nise s SNR I an ampliier assumed be nise ree r very lw nise is placed bere he nisy ampliier, hen he Signal--Nise SNR rai is grealy enhanced by a acr equal he preceding ampliier gain

10 Feaures negaive eedback ampliier Sabiliy: Due emperaure, aging and replacemen eecs, he ampliier gain becmes unsable. The racinal change in ampliicain wih eedback divided by he racinal change wihu eedback is called he sensiiviy he ranser gain. d β d sensiiviy I β >>, hen ~ /β Gain depends enirely n he eedback newrk The main reasn r he insabiliy is due he acive devices invlved, i he eedback newrk cnains nly sable passive elemens, he imprvemen in sabiliy is epeced.

11 Feedback plgies s menined abve, he ur eedback plgies can be deined as: cnnecin eedback newrk inpu erminal cnnecin eedback newrk upu erminal i.e, Series-shun inpu F: Vlage, upu F: Vlage Series-series inpu F: Vlage, upu F: Curren Shun-series inpu F: Curren, upu F: Curren Shun-shun inpu F: Curren, upu F: Vlage

12 The ur basic eedback plgies: a vlage-miing vlage-sampling series shun plgy; b curren-miing curren-sampling shun series plgy; c vlage-miing curren-sampling series series plgy; d curren-miing vlage-sampling shun shun plgy.

13 In general Eec negaive eedback n gain In series vlage eedback, inpu signal is vlage and upu vlage is sampled, s i is naural mdel he ampliier as a vlage ampliier. In general, v,s v β vβ mpliier emplying series curren eedback is mdeled as a ranscnducance ampliier. Gm, his is mdeled by a ranscnducance ampliier, s Gm β Gmβ mpliier emplying parallel vlage eedback is mdeled as a ransresisance ampliier. Rm In general, his is mdeled by a ransresisance ampliier, s Rm β Rmβ mpliier emplying parallel curren eedback is mdeled as a curren ampliier. i In general, his is mdeled by a curren ampliier, s i β β i

14 Negaive eedback n inpu impedance Fr series eedback, he llwing mdel can be used r analysis inpu impedance he upu culd be eiher vlage r curren R i i Ri R β I he inpu impedance he pen-lp ampliier is Ri, hen he clsed-lp impedance is Ri Ri β, nice β >> r negaive eedback s, series eedback eiher curren r vlage increase he inpu impedance Similarly, he eec parallel eedback n inpu impedance can be analyzed using a similar mdel, he clsed-lp inpu impedance wuld hen be Ri Ri / β s, parallel eedback decrease he inpu impedance

15 Eec eedback n he inpu resisance ampliier Feedback miing remember Inpu resisance series increases shun decreases In eedback ampliiers, series miing ends increase he inpu resisance and shun miing ends decrease he inpu resisance.

16 Negaive eedback n upu impedance Fr vlage eedback, i culd be eiher series r parallel eedback, he clsed-lp impedance is R R / β s, vlage eedback decrease he upu impedance Similarly, r curren eedback eiher series r parallel eedback, he clsed-lp impedance is R R β s, curren eedback increase he upu impedance

17 Eec eedback n he upu resisance ampliier Feedback sampling remember vlage curren Hw? upu resisance decreases increases Le us hink vlage sampling. I R L increases s ha V increases, he eec eeding his vlage back he inpu in negaive manner will cause V increase less han i here were n eedback. Hence, he upu vlage remains cnsan as R L changes, which means R << R L. Fr curren sampling. In negaive eedback which samples he upu curren will hld his curren cnsan. Hence, an upu curren surce is creaed, which means R >> R L.

18 Eec negaive eedback n gain and bandwidh V v v i V v β v Bandwidh B v v v Bandwidh B β v >> v β Bu gain drps a higher and lwer requencies, herere β >> n lnger hlds. Gain bandwidh is same r a eedback and basic ampliier.

19 I is impran ne ha even β is cnsan gain depends n requency. Le us Cnsider a single ple ampliier. ; / / / / / / 0 H H H H H H H j j j j j β β β β L L H H β Where is midband gain wihu eedback and H is he high 3-dB requency. is gain wih eedback. L is lw 3-dB requency.

20 Summary s a summary, negaive eedback ends sabilize and linearize gain, which are desired eecs. Fr a cerain ype ampliier, negaive eedback ends prduce an ideal ampliier ha ype. Fr eample, series vlage eedback increases inpu impedance, reduces upu impedance, which ges clser an ideal vlage ampliier. S, negaive eedback shuld be used in ampliiers circuis.

The Buck Resonant Converter

The Buck Resonant Converter EE646 Pwer Elecrnics Chaper 6 ecure Dr. Sam Abdel-Rahman The Buck Resnan Cnverer Replacg he swich by he resnan-ype swich, ba a quasi-resnan PWM buck cnverer can be shwn ha here are fur mdes f pera under

More information

21.9 Magnetic Materials

21.9 Magnetic Materials 21.9 Magneic Maerials The inrinsic spin and rbial min f elecrns gives rise he magneic prperies f maerials è elecrn spin and rbis ac as iny curren lps. In ferrmagneic maerials grups f 10 16-10 19 neighbring

More information

Microwave Engineering

Microwave Engineering Micrwave Engineering Cheng-Hsing Hsu Deparmen f Elecrical Engineering Nainal Unied Universiy Ouline. Transmissin ine Thery. Transmissin ines and Waveguides eneral Sluins fr TEM, TE, and TM waves ; Parallel

More information

ELEG 205 Fall Lecture #10. Mark Mirotznik, Ph.D. Professor The University of Delaware Tel: (302)

ELEG 205 Fall Lecture #10. Mark Mirotznik, Ph.D. Professor The University of Delaware Tel: (302) EEG 05 Fall 07 ecure #0 Mark Mirznik, Ph.D. Prfessr The Universiy f Delaware Tel: (3083-4 Email: mirzni@ece.udel.edu haper 7: apacirs and Inducrs The apacir Symbl Wha hey really lk like The apacir Wha

More information

DC-DC Switch-Mode Converters

DC-DC Switch-Mode Converters - Swich-Mde nverers - cnverers are used : egulaed swich-mde pwer supplies, nrmally wih HF elecrical isla Mr drives, nrmally wihu an isla ransfrmer We will lk a he w basic dc-dc cnverer plgies: Sep-dwn

More information

5.1 Angles and Their Measure

5.1 Angles and Their Measure 5. Angles and Their Measure Secin 5. Nes Page This secin will cver hw angles are drawn and als arc lengh and rains. We will use (hea) represen an angle s measuremen. In he figure belw i describes hw yu

More information

6.01: Introduction to EECS I Lecture 8 March 29, 2011

6.01: Introduction to EECS I Lecture 8 March 29, 2011 6.01: Inroducion o EES I Lecure 8 March 29, 2011 6.01: Inroducion o EES I Op-Amps Las Time: The ircui Absracion ircuis represen sysems as connecions of elemens hrough which currens (hrough variables) flow

More information

Brace-Gatarek-Musiela model

Brace-Gatarek-Musiela model Chaper 34 Brace-Gaarek-Musiela mdel 34. Review f HJM under risk-neural IP where f ( T Frward rae a ime fr brrwing a ime T df ( T ( T ( T d + ( T dw ( ( T The ineres rae is r( f (. The bnd prices saisfy

More information

Kinematics Review Outline

Kinematics Review Outline Kinemaics Review Ouline 1.1.0 Vecrs and Scalars 1.1 One Dimensinal Kinemaics Vecrs have magniude and direcin lacemen; velciy; accelerain sign indicaes direcin + is nrh; eas; up; he righ - is suh; wes;

More information

PT380 MULTICHANNEL TIMER SPECIFICATIONS FEATURES PRODUCT CODE MODES OF OPERATION FUNCTIONS TERMINAL CONNECTION

PT380 MULTICHANNEL TIMER SPECIFICATIONS FEATURES PRODUCT CODE MODES OF OPERATION FUNCTIONS TERMINAL CONNECTION PT380 MULTICHANNEL TIMER 96 X 96 Mulichannel: 8 channels Channel perain mde: Parallel r Sequenial Muli range: 99.99 sec 999.9 hr Mdes : N Delay / Inerval / Cyclic N firs / Cyclic FF firs Sar up delay &

More information

( ) ( ) if t = t. It must satisfy the identity. So, bulkiness of the unit impulse (hyper)function is equal to 1. The defining characteristic is

( ) ( ) if t = t. It must satisfy the identity. So, bulkiness of the unit impulse (hyper)function is equal to 1. The defining characteristic is UNIT IMPULSE RESPONSE, UNIT STEP RESPONSE, STABILITY. Uni impulse funcion (Dirac dela funcion, dela funcion) rigorously defined is no sricly a funcion, bu disribuion (or measure), precise reamen requires

More information

( ) For more files visit

( ) For more files visit SETION A (75 marks). This quesin cnsiss f TWENTYFIVE subquesins (..5) f ONE mark each. Fr each f hese subquesins, fur pssible alernaives (A,B, and D) are given, u f which ONLY ONE is crrec. Indicae he

More information

Revelation of Soft-Switching Operation for Isolated DC to Single-phase AC Converter with Power Decoupling

Revelation of Soft-Switching Operation for Isolated DC to Single-phase AC Converter with Power Decoupling Revelain f Sf-Swiching Operain fr Islaed DC Single-phase AC Cnverer wih wer Decupling Nagisa Takaka, Jun-ichi Ih Dep. f Elecrical Engineering Nagaka Universiy f Technlgy Nagaka, Niigaa, Japan nakaka@sn.nagakau.ac.jp,

More information

Basic Circuit Elements Professor J R Lucas November 2001

Basic Circuit Elements Professor J R Lucas November 2001 Basic Circui Elemens - J ucas An elecrical circui is an inerconnecion of circui elemens. These circui elemens can be caegorised ino wo ypes, namely acive and passive elemens. Some Definiions/explanaions

More information

Coherent PSK. The functional model of passband data transmission system is. Signal transmission encoder. x Signal. decoder.

Coherent PSK. The functional model of passband data transmission system is. Signal transmission encoder. x Signal. decoder. Cheren PSK he funcinal mdel f passand daa ransmissin sysem is m i Signal ransmissin encder si s i Signal Mdular Channel Deecr ransmissin decder mˆ Carrier signal m i is a sequence f syml emied frm a message

More information

AP Physics 1 MC Practice Kinematics 1D

AP Physics 1 MC Practice Kinematics 1D AP Physics 1 MC Pracice Kinemaics 1D Quesins 1 3 relae w bjecs ha sar a x = 0 a = 0 and mve in ne dimensin independenly f ne anher. Graphs, f he velciy f each bjec versus ime are shwn belw Objec A Objec

More information

Physics 111. Exam #1. September 28, 2018

Physics 111. Exam #1. September 28, 2018 Physics xam # Sepember 8, 08 ame Please read and fllw hese insrucins carefully: Read all prblems carefully befre aemping slve hem. Yur wrk mus be legible, and he rganizain clear. Yu mus shw all wrk, including

More information

Topic Astable Circuits. Recall that an astable circuit has two unstable states;

Topic Astable Circuits. Recall that an astable circuit has two unstable states; Topic 2.2. Asable Circuis. Learning Objecives: A he end o his opic you will be able o; Recall ha an asable circui has wo unsable saes; Explain he operaion o a circui based on a Schmi inverer, and esimae

More information

IE1206 Embedded Electronics

IE1206 Embedded Electronics E06 Embedded Elecronics Le Le3 Le4 Le Ex Ex P-block Documenaion, Seriecom Pulse sensors,, R, P, serial and parallel K LAB Pulse sensors, Menu program Sar of programing ask Kirchhoffs laws Node analysis

More information

10.7 Temperature-dependent Viscoelastic Materials

10.7 Temperature-dependent Viscoelastic Materials Secin.7.7 Temperaure-dependen Viscelasic Maerials Many maerials, fr example plymeric maerials, have a respnse which is srngly emperaure-dependen. Temperaure effecs can be incrpraed in he hery discussed

More information

CIRCUITS AND ELECTRONICS. Op Amps Positive Feedback

CIRCUITS AND ELECTRONICS. Op Amps Positive Feedback 6.00 CIRCUITS AND ELECTRONICS Op Amps Psiie Feedback Cie as: Anan Agarwal and Jeffrey Lang, curse maerials fr 6.00 Circuis and Elecrnics, Spring 007. MIT OpenCurseWare (hp://cw.mi.edu/), Massachuses Insiue

More information

Lecture 20a. Circuit Topologies and Techniques: Opamps

Lecture 20a. Circuit Topologies and Techniques: Opamps Lecture a Circuit Tplgies and Techniques: Opamps In this lecture yu will learn: Sme circuit tplgies and techniques Intrductin t peratinal amplifiers Differential mplifier IBIS1 I BIS M VI1 vi1 Vi vi I

More information

MASSACHUSETTS INSTITUTE OF TECHNOLOGY 6.265/15.070J Fall 2013 Lecture 15 10/30/2013. Ito integral for simple processes

MASSACHUSETTS INSTITUTE OF TECHNOLOGY 6.265/15.070J Fall 2013 Lecture 15 10/30/2013. Ito integral for simple processes MASSACHUSETTS INSTITUTE OF TECHNOLOGY 6.65/15.7J Fall 13 Lecure 15 1/3/13 I inegral fr simple prcesses Cnen. 1. Simple prcesses. I ismery. Firs 3 seps in cnsrucing I inegral fr general prcesses 1 I inegral

More information

EE100 Lab 3 Experiment Guide: RC Circuits

EE100 Lab 3 Experiment Guide: RC Circuits I. Inroducion EE100 Lab 3 Experimen Guide: A. apaciors A capacior is a passive elecronic componen ha sores energy in he form of an elecrosaic field. The uni of capaciance is he farad (coulomb/vol). Pracical

More information

Dr. Kasra Etemadi February 20, 2007

Dr. Kasra Etemadi February 20, 2007 Dr. Kasra Eeadi February, 7 Seady-Sae Sinusidal Analysis Sinusidal Surces: Elecric pwer disribued fr residences and businesses Radi cunicain All signal f pracical ineres are cpsed f sinusidal cpnens Furier

More information

Lecture 3: Resistive forces, and Energy

Lecture 3: Resistive forces, and Energy Lecure 3: Resisive frces, and Energy Las ie we fund he velciy f a prjecile ving wih air resisance: g g vx ( ) = vx, e vy ( ) = + v + e One re inegrain gives us he psiin as a funcin f ie: dx dy g g = vx,

More information

Lecture 4 ( ) Some points of vertical motion: Here we assumed t 0 =0 and the y axis to be vertical.

Lecture 4 ( ) Some points of vertical motion: Here we assumed t 0 =0 and the y axis to be vertical. Sme pins f erical min: Here we assumed and he y axis be erical. ( ) y g g y y y y g dwnwards 9.8 m/s g Lecure 4 Accelerain The aerage accelerain is defined by he change f elciy wih ime: a ; In analgy,

More information

CHAPTER 12 DIRECT CURRENT CIRCUITS

CHAPTER 12 DIRECT CURRENT CIRCUITS CHAPTER 12 DIRECT CURRENT CIUITS DIRECT CURRENT CIUITS 257 12.1 RESISTORS IN SERIES AND IN PARALLEL When wo resisors are conneced ogeher as shown in Figure 12.1 we said ha hey are conneced in series. As

More information

INFLUENCE OF WIND VELOCITY TO SUPPLY WATER TEMPERATURE IN HOUSE HEATING INSTALLATION AND HOT-WATER DISTRICT HEATING SYSTEM

INFLUENCE OF WIND VELOCITY TO SUPPLY WATER TEMPERATURE IN HOUSE HEATING INSTALLATION AND HOT-WATER DISTRICT HEATING SYSTEM Dr. Branislav Zivkvic, B. Eng. Faculy f Mechanical Engineering, Belgrade Universiy Predrag Zeknja, B. Eng. Belgrade Municipal DH Cmpany Angelina Kacar, B. Eng. Faculy f Agriculure, Belgrade Universiy INFLUENCE

More information

Reading from Young & Freedman: For this topic, read sections 25.4 & 25.5, the introduction to chapter 26 and sections 26.1 to 26.2 & 26.4.

Reading from Young & Freedman: For this topic, read sections 25.4 & 25.5, the introduction to chapter 26 and sections 26.1 to 26.2 & 26.4. PHY1 Elecriciy Topic 7 (Lecures 1 & 11) Elecric Circuis n his opic, we will cover: 1) Elecromoive Force (EMF) ) Series and parallel resisor combinaions 3) Kirchhoff s rules for circuis 4) Time dependence

More information

Kinematics Vocabulary. Kinematics and One Dimensional Motion. Position. Coordinate System in One Dimension. Kinema means movement 8.

Kinematics Vocabulary. Kinematics and One Dimensional Motion. Position. Coordinate System in One Dimension. Kinema means movement 8. Kinemaics Vocabulary Kinemaics and One Dimensional Moion 8.1 WD1 Kinema means movemen Mahemaical descripion of moion Posiion Time Inerval Displacemen Velociy; absolue value: speed Acceleraion Averages

More information

Silicon Controlled Rectifiers UNIT-1

Silicon Controlled Rectifiers UNIT-1 Silicon Conrolled Recifiers UNIT-1 Silicon Conrolled Recifier A Silicon Conrolled Recifier (or Semiconducor Conrolled Recifier) is a four layer solid sae device ha conrols curren flow The name silicon

More information

Chapter 7 Response of First-order RL and RC Circuits

Chapter 7 Response of First-order RL and RC Circuits Chaper 7 Response of Firs-order RL and RC Circuis 7.- The Naural Response of RL and RC Circuis 7.3 The Sep Response of RL and RC Circuis 7.4 A General Soluion for Sep and Naural Responses 7.5 Sequenial

More information

dv 7. Voltage-current relationship can be obtained by integrating both sides of i = C :

dv 7. Voltage-current relationship can be obtained by integrating both sides of i = C : EECE202 NETWORK ANALYSIS I Dr. Charles J. Kim Class Noe 22: Capaciors, Inducors, and Op Amp Circuis A. Capaciors. A capacior is a passive elemen designed o sored energy in is elecric field. 2. A capacior

More information

PI5A3157. SOTINY TM Low Voltage SPDT Analog Switch 2:1 Mux/Demux Bus Switch. Features. Descriptio n. Applications. Connection Diagram Pin Description

PI5A3157. SOTINY TM Low Voltage SPDT Analog Switch 2:1 Mux/Demux Bus Switch. Features. Descriptio n. Applications. Connection Diagram Pin Description PI53157 OINY M Low Volage PD nalog wich 2:1 Mux/Demux Bus wich Feaures CMO echnology for Bus and nalog pplicaions Low ON Resisance: 8-ohms a 3.0V Wide Range: 1.65V o 5.5V Rail-o-Rail ignal Range Conrol

More information

p h a s e - o u t Three phase full Bridge with Trench MOSFETs in DCB isolated high current package GWM X2

p h a s e - o u t Three phase full Bridge with Trench MOSFETs in DCB isolated high current package GWM X2 GWM 18-4X2 Three phase full Bridge wih Trench MOSFETs in DCB isolaed high curren package S = 4 V 25 = 18 R DSon yp. = 1.9 mw Preliminary daa G1 G3 G5 L+ S1 G2 S3 G4 S5 G6 L1 L2 L3 Sraigh leads Surface

More information

Finite time L 1 Approach for Missile Overload Requirement Analysis in Terminal Guidance

Finite time L 1 Approach for Missile Overload Requirement Analysis in Terminal Guidance Chinese Jurnal Aernauics 22(29) 413-418 Chinese Jurnal Aernauics www.elsevier.cm/lcae/cja Finie ime L 1 Apprach r Missile Overlad Requiremen Analysis in Terminal Guidance Ji Dengga*, He Fenghua, Ya Yu

More information

The Components of Vector B. The Components of Vector B. Vector Components. Component Method of Vector Addition. Vector Components

The Components of Vector B. The Components of Vector B. Vector Components. Component Method of Vector Addition. Vector Components Upcming eens in PY05 Due ASAP: PY05 prees n WebCT. Submiing i ges yu pin ward yur 5-pin Lecure grade. Please ake i seriusly, bu wha cuns is wheher r n yu submi i, n wheher yu ge hings righ r wrng. Due

More information

Phys1112: DC and RC circuits

Phys1112: DC and RC circuits Name: Group Members: Dae: TA s Name: Phys1112: DC and RC circuis Objecives: 1. To undersand curren and volage characerisics of a DC RC discharging circui. 2. To undersand he effec of he RC ime consan.

More information

Section I5: Feedback in Operational Amplifiers

Section I5: Feedback in Operational Amplifiers Sectin I5: eedback in Operatinal mplifiers s discussed earlier, practical p-amps hae a high gain under dc (zer frequency) cnditins and the gain decreases as frequency increases. This frequency dependence

More information

Chapter 3. DC to DC CONVERTER (CHOPPER)

Chapter 3. DC to DC CONVERTER (CHOPPER) Chaper 3 C C COEE General Buck cnverer Bs cnverer (CHOPPE Buck-Bs cnverer Swiche-e pwer supply Brige cnverer es n elecragneic cpaibiliy (EMC an sluins. Pwer Elecrnics an rives (ersin : r. C-C Cnverer (Chpper

More information

CHAPTER 18: Electric Currents. Answers to Questions

CHAPTER 18: Electric Currents. Answers to Questions CHTE : Elecric Currens nswers Quesins. mpere-hurs measures charge. The ampere is a charge per uni ime, an he hur is a ime, s he pruc is charge. mpere-hur f charge is 6 Culmbs f charge.. n he circui (n

More information

Homework-8(1) P8.3-1, 3, 8, 10, 17, 21, 24, 28,29 P8.4-1, 2, 5

Homework-8(1) P8.3-1, 3, 8, 10, 17, 21, 24, 28,29 P8.4-1, 2, 5 Homework-8() P8.3-, 3, 8, 0, 7, 2, 24, 28,29 P8.4-, 2, 5 Secion 8.3: The Response of a Firs Order Circui o a Consan Inpu P 8.3- The circui shown in Figure P 8.3- is a seady sae before he swich closes a

More information

EECS 2602 Winter Laboratory 3 Fourier series, Fourier transform and Bode Plots in MATLAB

EECS 2602 Winter Laboratory 3 Fourier series, Fourier transform and Bode Plots in MATLAB EECS 6 Winer 7 Laboraory 3 Fourier series, Fourier ransform and Bode Plos in MATLAB Inroducion: The objecives of his lab are o use MATLAB:. To plo periodic signals wih Fourier series represenaion. To obain

More information

AC Circuits AC Circuit with only R AC circuit with only L AC circuit with only C AC circuit with LRC phasors Resonance Transformers

AC Circuits AC Circuit with only R AC circuit with only L AC circuit with only C AC circuit with LRC phasors Resonance Transformers A ircuis A ircui wih only A circui wih only A circui wih only A circui wih phasors esonance Transformers Phys 435: hap 31, Pg 1 A ircuis New Topic Phys : hap. 6, Pg Physics Moivaion as ime we discovered

More information

( ) = Q 0. ( ) R = R dq. ( t) = I t

( ) = Q 0. ( ) R = R dq. ( t) = I t ircuis onceps The addiion of a simple capacior o a circui of resisors allows wo relaed phenomena o occur The observaion ha he ime-dependence of a complex waveform is alered by he circui is referred o as

More information

XPT IGBT Module MIXA450PF1200TSF. Phase leg + free wheeling Diodes + NTC MIXA450PF1200TSF. Part number

XPT IGBT Module MIXA450PF1200TSF. Phase leg + free wheeling Diodes + NTC MIXA450PF1200TSF. Part number XPT IGBT Module CS 2x 12 I C25 1.8 C(sa) Phase leg + free wheeling Diodes + NTC Par number Backside: isolaed 5 2 1 8 7 9 3 4 /11 Feaures / dvanages: pplicaions: Package: SimBus F High level of inegraion

More information

CHAPTER 6: FIRST-ORDER CIRCUITS

CHAPTER 6: FIRST-ORDER CIRCUITS EEE5: CI CUI T THEOY CHAPTE 6: FIST-ODE CICUITS 6. Inroducion This chaper considers L and C circuis. Applying he Kirshoff s law o C and L circuis produces differenial equaions. The differenial equaions

More information

Lecture 02 CSE 40547/60547 Computing at the Nanoscale

Lecture 02 CSE 40547/60547 Computing at the Nanoscale PN Junctin Ntes: Lecture 02 CSE 40547/60547 Cmputing at the Nanscale Letʼs start with a (very) shrt review f semi-cnducting materials: - N-type material: Obtained by adding impurity with 5 valence elements

More information

Design of Diaphragm Micro-Devices. (Due date: Nov 2, 2017)

Design of Diaphragm Micro-Devices. (Due date: Nov 2, 2017) Design f Diphrgm Micr-Devices (Due de: Nv, 017) 1. Bckgrund A number f micr-devices depend upn diphrgm fr heir perin. Such devices re vlve, pump, nd pressure sensr. The generlized mdel f hese devices is

More information

(b) (a) (d) (c) (e) Figure 10-N1. (f) Solution:

(b) (a) (d) (c) (e) Figure 10-N1. (f) Solution: Example: The inpu o each of he circuis shown in Figure 10-N1 is he volage source volage. The oupu of each circui is he curren i( ). Deermine he oupu of each of he circuis. (a) (b) (c) (d) (e) Figure 10-N1

More information

Lecture -14: Chopper fed DC Drives

Lecture -14: Chopper fed DC Drives Lecure -14: Chopper fed DC Drives Chopper fed DC drives o A chopper is a saic device ha convers fixed DC inpu volage o a variable dc oupu volage direcly o A chopper is a high speed on/off semiconducor

More information

Dispersion Ref Feynman Vol-I, Ch-31

Dispersion Ref Feynman Vol-I, Ch-31 Dispersin Ref Feynman Vl-I, Ch-31 n () = 1 + q N q /m 2 2 2 0 i ( b/m) We have learned that the index f refractin is nt just a simple number, but a quantity that varies with the frequency f the light.

More information

Lecture 2-1 Kinematics in One Dimension Displacement, Velocity and Acceleration Everything in the world is moving. Nothing stays still.

Lecture 2-1 Kinematics in One Dimension Displacement, Velocity and Acceleration Everything in the world is moving. Nothing stays still. Lecure - Kinemaics in One Dimension Displacemen, Velociy and Acceleraion Everyhing in he world is moving. Nohing says sill. Moion occurs a all scales of he universe, saring from he moion of elecrons in

More information

i L = VT L (16.34) 918a i D v OUT i L v C V - S 1 FIGURE A switched power supply circuit with diode and a switch.

i L = VT L (16.34) 918a i D v OUT i L v C V - S 1 FIGURE A switched power supply circuit with diode and a switch. 16.4.3 A SWITHED POWER SUPPY USINGA DIODE In his example, we will analyze he behavior of he diodebased swiched power supply circui shown in Figure 16.15. Noice ha his circui is similar o ha in Figure 12.41,

More information

Chapter 8 The Complete Response of RL and RC Circuits

Chapter 8 The Complete Response of RL and RC Circuits Chaper 8 The Complee Response of RL and RC Circuis Seoul Naional Universiy Deparmen of Elecrical and Compuer Engineering Wha is Firs Order Circuis? Circuis ha conain only one inducor or only one capacior

More information

Features / Advantages: Applications: Package: Y4

Features / Advantages: Applications: Package: Y4 IGBT (NPT) Module CES = x 1 I C = 9 =. CE(sa) Phase leg Par number MII7-13 1 Backside: isolaed 7 3 Feaures / dvanages: pplicaions: Package: Y NPT IGBT echnology low sauraion volage low swiching losses

More information

Electrical Circuits. 1. Circuit Laws. Tools Used in Lab 13 Series Circuits Damped Vibrations: Energy Van der Pol Circuit

Electrical Circuits. 1. Circuit Laws. Tools Used in Lab 13 Series Circuits Damped Vibrations: Energy Van der Pol Circuit V() R L C 513 Elecrical Circuis Tools Used in Lab 13 Series Circuis Damped Vibraions: Energy Van der Pol Circui A series circui wih an inducor, resisor, and capacior can be represened by Lq + Rq + 1, a

More information

Lesson #15. Section BME 373 Electronics II J.Schesser

Lesson #15. Section BME 373 Electronics II J.Schesser Feedack and Ocillatr Len # Tranient and Frequency Repne Sectin 9.6- BME 373 Electrnic II J.Scheer 78 Cled-Lp Gain in the Frequency Dmain ume that th the pen-lp gain, and the eedack, β are unctin requency

More information

Lead/Lag Compensator Frequency Domain Properties and Design Methods

Lead/Lag Compensator Frequency Domain Properties and Design Methods Lectures 6 and 7 Lead/Lag Cmpensatr Frequency Dmain Prperties and Design Methds Definitin Cnsider the cmpensatr (ie cntrller Fr, it is called a lag cmpensatr s K Fr s, it is called a lead cmpensatr Ntatin

More information

OP AMP CHARACTERISTICS

OP AMP CHARACTERISTICS O AM CHAACTESTCS Static p amp limitatins EFEENCE: Chapter 5 textbk (ESS) EOS CAUSED BY THE NUT BAS CUENT AND THE NUT OFFSET CUENT Op Amp t functin shuld have fr the input terminals a DC path thrugh which

More information

Physics Courseware Physics I Constant Acceleration

Physics Courseware Physics I Constant Acceleration Physics Curseware Physics I Cnsan Accelerain Equains fr cnsan accelerain in dimensin x + a + a + ax + x Prblem.- In he 00-m race an ahlee acceleraes unifrmly frm res his p speed f 0m/s in he firs x5m as

More information

University of Cyprus Biomedical Imaging and Applied Optics. Appendix. DC Circuits Capacitors and Inductors AC Circuits Operational Amplifiers

University of Cyprus Biomedical Imaging and Applied Optics. Appendix. DC Circuits Capacitors and Inductors AC Circuits Operational Amplifiers Universiy of Cyprus Biomedical Imaging and Applied Opics Appendix DC Circuis Capaciors and Inducors AC Circuis Operaional Amplifiers Circui Elemens An elecrical circui consiss of circui elemens such as

More information

Physics for Scientists & Engineers 2

Physics for Scientists & Engineers 2 Direc Curren Physics for Scieniss & Engineers 2 Spring Semeser 2005 Lecure 16 This week we will sudy charges in moion Elecric charge moving from one region o anoher is called elecric curren Curren is all

More information

d 1 = c 1 b 2 - b 1 c 2 d 2 = c 1 b 3 - b 1 c 3

d 1 = c 1 b 2 - b 1 c 2 d 2 = c 1 b 3 - b 1 c 3 and d = c b - b c c d = c b - b c c This process is coninued unil he nh row has been compleed. The complee array of coefficiens is riangular. Noe ha in developing he array an enire row may be divided or

More information

Bootstrap Method > # Purpose: understand how bootstrap method works > obs=c(11.96, 5.03, 67.40, 16.07, 31.50, 7.73, 11.10, 22.38) > n=length(obs) >

Bootstrap Method > # Purpose: understand how bootstrap method works > obs=c(11.96, 5.03, 67.40, 16.07, 31.50, 7.73, 11.10, 22.38) > n=length(obs) > Btstrap Methd > # Purpse: understand hw btstrap methd wrks > bs=c(11.96, 5.03, 67.40, 16.07, 31.50, 7.73, 11.10, 22.38) > n=length(bs) > mean(bs) [1] 21.64625 > # estimate f lambda > lambda = 1/mean(bs);

More information

This document was generated at 1:04 PM, 09/10/13 Copyright 2013 Richard T. Woodward. 4. End points and transversality conditions AGEC

This document was generated at 1:04 PM, 09/10/13 Copyright 2013 Richard T. Woodward. 4. End points and transversality conditions AGEC his documen was generaed a 1:4 PM, 9/1/13 Copyrigh 213 Richard. Woodward 4. End poins and ransversaliy condiions AGEC 637-213 F z d Recall from Lecure 3 ha a ypical opimal conrol problem is o maimize (,,

More information

CHAPTER 2 Signals And Spectra

CHAPTER 2 Signals And Spectra CHAPER Signals And Specra Properies of Signals and Noise In communicaion sysems he received waveform is usually caegorized ino he desired par conaining he informaion, and he undesired par. he desired par

More information

Circuit Variables. AP 1.1 Use a product of ratios to convert two-thirds the speed of light from meters per second to miles per second: 1 ft 12 in

Circuit Variables. AP 1.1 Use a product of ratios to convert two-thirds the speed of light from meters per second to miles per second: 1 ft 12 in Circui Variables 1 Assessmen Problems AP 1.1 Use a produc of raios o conver wo-hirds he speed of ligh from meers per second o miles per second: ( ) 2 3 1 8 m 3 1 s 1 cm 1 m 1 in 2.54 cm 1 f 12 in 1 mile

More information

Lecture Notes 3: Quantitative Analysis in DSGE Models: New Keynesian Model

Lecture Notes 3: Quantitative Analysis in DSGE Models: New Keynesian Model Lecure Noes 3: Quaniaive Analysis in DSGE Models: New Keynesian Model Zhiwei Xu, Email: xuzhiwei@sju.edu.cn The moneary policy plays lile role in he basic moneary model wihou price sickiness. We now urn

More information

Impact Switch Study Modeling & Implications

Impact Switch Study Modeling & Implications L-3 Fuzing & Ordnance Sysems Impac Swich Sudy Mdeling & Implicains Dr. Dave Frankman May 13, 010 NDIA 54 h Annual Fuze Cnference This presenain cnsiss f L-3 Crprain general capabiliies infrmain ha des

More information

SPH3U: Projectiles. Recorder: Manager: Speaker:

SPH3U: Projectiles. Recorder: Manager: Speaker: SPH3U: Projeciles Now i s ime o use our new skills o analyze he moion of a golf ball ha was ossed hrough he air. Le s find ou wha is special abou he moion of a projecile. Recorder: Manager: Speaker: 0

More information

Module 4: Time Response of discrete time systems Lecture Note 2

Module 4: Time Response of discrete time systems Lecture Note 2 Module 4: Time Response of discree ime sysems Lecure Noe 2 1 Prooype second order sysem The sudy of a second order sysem is imporan because many higher order sysem can be approimaed by a second order model

More information

Of all of the intellectual hurdles which the human mind has confronted and has overcome in the last fifteen hundred years, the one which seems to me

Of all of the intellectual hurdles which the human mind has confronted and has overcome in the last fifteen hundred years, the one which seems to me Of all of he inellecual hurdles which he human mind has confroned and has overcome in he las fifeen hundred years, he one which seems o me o have been he mos amazing in characer and he mos supendous in

More information

Energy Storage Devices

Energy Storage Devices Energy Srage Deces Objece f ecure Descrbe The cnsrucn f an nducr Hw energy s sred n an nducr The elecrcal prperes f an nducr Relanshp beween lage, curren, and nducance; pwer; and energy Equalen nducance

More information

Prof. Dr. I. Nasser Phys530, T142 3-Oct-17 Fermi_gases. 0 f e. and fall off exponentially like Maxwell-Boltzmaan distribution.

Prof. Dr. I. Nasser Phys530, T142 3-Oct-17 Fermi_gases. 0 f e. and fall off exponentially like Maxwell-Boltzmaan distribution. Pr. Dr. I. Nasser Phys, -Oct-7 FERMI_DIRAC GASSES Fermins: Are particles hal-integer spin that bey Fermi-Dirac statistics. Fermins bey the Pauli exclusin principle, which prhibits the ccupancy an available

More information

To become more mathematically correct, Circuit equations are Algebraic Differential equations. from KVL, KCL from the constitutive relationship

To become more mathematically correct, Circuit equations are Algebraic Differential equations. from KVL, KCL from the constitutive relationship Laplace Tranform (Lin & DeCarlo: Ch 3) ENSC30 Elecric Circui II The Laplace ranform i an inegral ranformaion. I ranform: f ( ) F( ) ime variable complex variable From Euler > Lagrange > Laplace. Hence,

More information

EE 315 Notes. Gürdal Arslan CLASS 1. (Sections ) What is a signal?

EE 315 Notes. Gürdal Arslan CLASS 1. (Sections ) What is a signal? EE 35 Noes Gürdal Arslan CLASS (Secions.-.2) Wha is a signal? In his class, a signal is some funcion of ime and i represens how some physical quaniy changes over some window of ime. Examples: velociy of

More information

Linear Circuit Elements

Linear Circuit Elements 1/25/2011 inear ircui Elemens.doc 1/6 inear ircui Elemens Mos microwave devices can be described or modeled in erms of he hree sandard circui elemens: 1. ESISTANE () 2. INDUTANE () 3. APAITANE () For he

More information

Name: Total Points: Multiple choice questions [120 points]

Name: Total Points: Multiple choice questions [120 points] Name: Toal Poins: (Las) (Firs) Muliple choice quesions [1 poins] Answer all of he following quesions. Read each quesion carefully. Fill he correc bubble on your scanron shee. Each correc answer is worh

More information

Math 23 Spring Differential Equations. Final Exam Due Date: Tuesday, June 6, 5pm

Math 23 Spring Differential Equations. Final Exam Due Date: Tuesday, June 6, 5pm Mah Spring 6 Differenial Equaions Final Exam Due Dae: Tuesday, June 6, 5pm Your name (please prin): Insrucions: This is an open book, open noes exam. You are free o use a calculaor or compuer o check your

More information

EE 101 Electrical Engineering. vrect

EE 101 Electrical Engineering. vrect EE Elecrical Engineering ac heory 3. Alernaing urren heory he advanage of he alernaing waveform for elecric power is ha i can be sepped up or sepped down in poenial easily for ransmission and uilisaion.

More information

8. Basic RL and RC Circuits

8. Basic RL and RC Circuits 8. Basic L and C Circuis This chaper deals wih he soluions of he responses of L and C circuis The analysis of C and L circuis leads o a linear differenial equaion This chaper covers he following opics

More information

Problem Set #1. i z. the complex propagation constant. For the characteristic impedance:

Problem Set #1. i z. the complex propagation constant. For the characteristic impedance: Problem Se # Problem : a) Using phasor noaion, calculae he volage and curren waves on a ransmission line by solving he wave equaion Assume ha R, L,, G are all non-zero and independen of frequency From

More information

The problem with linear regulators

The problem with linear regulators he problem wih linear regulaors i in P in = i in V REF R a i ref i q i C v CE P o = i o i B ie P = v i o o in R 1 R 2 i o i f η = P o P in iref is small ( 0). iq (quiescen curren) is small (probably).

More information

V L. DT s D T s t. Figure 1: Buck-boost converter: inductor current i(t) in the continuous conduction mode.

V L. DT s D T s t. Figure 1: Buck-boost converter: inductor current i(t) in the continuous conduction mode. ECE 445 Analysis and Design of Power Elecronic Circuis Problem Se 7 Soluions Problem PS7.1 Erickson, Problem 5.1 Soluion (a) Firs, recall he operaion of he buck-boos converer in he coninuous conducion

More information

1 Differential Equation Investigations using Customizable

1 Differential Equation Investigations using Customizable Differenial Equaion Invesigaions using Cusomizable Mahles Rober Decker The Universiy of Harford Absrac. The auhor has developed some plaform independen, freely available, ineracive programs (mahles) for

More information

6.003 Homework #9 Solutions

6.003 Homework #9 Solutions 6.00 Homework #9 Soluions Problems. Fourier varieies a. Deermine he Fourier series coefficiens of he following signal, which is periodic in 0. x () 0 0 a 0 5 a k sin πk 5 sin πk 5 πk for k 0 a k 0 πk j

More information

Features / Advantages: Applications: Package: Y4

Features / Advantages: Applications: Package: Y4 IGBT (NPT) Module CES = 12 I C25 = 16 = 2.2 CE(sa) Buck Chopper + free wheeling Diode Par number MDI145-123 Backside: isolaed 1 7 6 3 2 Feaures / dvanages: pplicaions: Package: Y4 NPT IGBT echnology low

More information

Features / Advantages: Applications: Package: Y4

Features / Advantages: Applications: Package: Y4 IGBT (NPT) Module CES = 12 I C2 = 16 = 2.2 CE(sa) Boos Chopper + free wheeling Diode Par number MID14-123 Backside: isolaed 1 3 4 2 Feaures / dvanages: pplicaions: Package: Y4 NPT IGBT echnology low sauraion

More information

Chapter 5 Digital PID control algorithm. Hesheng Wang Department of Automation,SJTU 2016,03

Chapter 5 Digital PID control algorithm. Hesheng Wang Department of Automation,SJTU 2016,03 Chaper 5 Digial PID conrol algorihm Hesheng Wang Deparmen of Auomaion,SJTU 216,3 Ouline Absrac Quasi-coninuous PID conrol algorihm Improvemen of sandard PID algorihm Choosing parameer of PID regulaor Brief

More information

t + t sin t t cos t sin t. t cos t sin t dt t 2 = exp 2 log t log(t cos t sin t) = Multiplying by this factor and then integrating, we conclude that

t + t sin t t cos t sin t. t cos t sin t dt t 2 = exp 2 log t log(t cos t sin t) = Multiplying by this factor and then integrating, we conclude that ODEs, Homework #4 Soluions. Check ha y ( = is a soluion of he second-order ODE ( cos sin y + y sin y sin = 0 and hen use his fac o find all soluions of he ODE. When y =, we have y = and also y = 0, so

More information

6. Frequency Response

6. Frequency Response 6. Frequency esnse eading: Sedra & Sith: hater.6, hater 3.6 and hater 9 (MOS rtins, EE 0, Winter 0, F. Najabadi Tyical Frequency resnse an liier U t nw we have ignred the caacitrs. T include the caacitrs,

More information

Schedule. ECEN 301 Discussion #17 Operational Amplifiers 1. Date Day Class No. Lab Due date. Exam

Schedule. ECEN 301 Discussion #17 Operational Amplifiers 1. Date Day Class No. Lab Due date. Exam chedule Date Day Class N. Title Chapters HW Due date 29 Oct Wed 17 Operatinal mplifiers 8.1 8.2 Lab Due date Exam 30 Oct Thu 31 Oct ri ecitatin HW 7 1 N at 2 N un 3 N Mn 18 Operatinal mplifiers 8.3 8.4

More information

3. Alternating Current

3. Alternating Current 3. Alernaing Curren TOPCS Definiion and nroducion AC Generaor Componens of AC Circuis Series LRC Circuis Power in AC Circuis Transformers & AC Transmission nroducion o AC The elecric power ou of a home

More information

Characteristics of Linear System

Characteristics of Linear System Characerisics o Linear Sysem h g h : Impulse response F G : Frequency ranser uncion Represenaion o Sysem in ime an requency. Low-pass iler g h G F he requency ranser uncion is he Fourier ransorm o he impulse

More information

(2) Even if such a value of k was possible, the neutrons multiply

(2) Even if such a value of k was possible, the neutrons multiply CHANGE OF REACTOR Nuclear Thery - Curse 227 POWER WTH REACTVTY CHANGE n this lessn, we will cnsider hw neutrn density, neutrn flux and reactr pwer change when the multiplicatin factr, k, r the reactivity,

More information

R th is the Thevenin equivalent at the capacitor terminals.

R th is the Thevenin equivalent at the capacitor terminals. Chaper 7, Slun. Applyng KV Fg. 7.. d 0 C - Takng he derae f each erm, d 0 C d d d r C Inegrang, () ln I 0 - () I 0 e - C C () () r - I 0 e - () V 0 e C C Chaper 7, Slun. h C where h s he Theenn equalen

More information

(1) (2) Differentiation of (1) and then substitution of (3) leads to. Therefore, we will simply consider the second-order linear system given by (4)

(1) (2) Differentiation of (1) and then substitution of (3) leads to. Therefore, we will simply consider the second-order linear system given by (4) Phase Plane Analysis of Linear Sysems Adaped from Applied Nonlinear Conrol by Sloine and Li The general form of a linear second-order sysem is a c b d From and b bc d a Differeniaion of and hen subsiuion

More information

MEMS 0031 Electric Circuits

MEMS 0031 Electric Circuits MEMS 0031 Elecric Circuis Chaper 1 Circui variables Chaper/Lecure Learning Objecives A he end of his lecure and chaper, you should able o: Represen he curren and volage of an elecric circui elemen, paying

More information