Refinements to Incremental Transistor Model


 Abel King
 3 years ago
 Views:
Transcription
1 Refinements to Incremental Transistor Model This section presents modifications to the incremental models that account for nonideal transistor behavior Incremental output port resistance
2 Incremental changes in the output port voltage cause incremental changes in the output port current r ce and r ds are commonly referred to as r o Typical values 20 kω kω
3 Input Port Resistances Accounts for the effects of any ohmic resistance that appears in series with the input port terminal Effects are particularly important in high frequency and high power devices Input port resistance can be taken into account by adding a resistance r x to the input port
4 Note: The incremental models do not take into account incremental capacitances which will be discussed in a later section.
5 Alternative BJT Representation Since v BE and i B are related by the input port characteristics it is possible to describe the output port in terms of v BE instead of i B g r m be δ ic δ vbe δ ic δ v δ i δ i BE B B β o
6
7 Two Port Representation of Incremental Circuits
8 Time Dependent Circuit Behavior The role of time dependence and frequency response is critical in determining circuit behavior Many timedependent properties can be modeled by the addition of capacitances to the PWL incremental model In very high speed circuits the addition of capacitances and inductances are necessary to model interconnections between devices (parasitics)
9 Review of RC Circuits
10 Response can be determined by using the appropriate differential equations or Laplace transforms For a step function of the form v ( t) V u( t) u( t) IN o step function v OUT v ( t) V at t OUT ( t) 0 at t 0 o / v ( t) V ( 1 e ) OUT " Time Domain" o t RC In the time domain the VI relationship for a capacitor is given by i( t) C d v ( t ) dt
11 In the frequency domain the impedence representation transforms differential equations into simple algebraic equations Voltage and current variables are expressed as complex numbers (phasors) which have both a magnitude and phase From Euler s formula cosθ + j sinθ e jθ jθ Me M cosθ + jm sinθ jθ Re( Me ) M cosθ jθ Im( Me ) M sinθ θ tan 1 jθ Re( Me ) jθ Im ( Me )
12 Acos( ω t + θ ) has frequency ω, amplitude A and phase angle θ. Ae j( ω t+ θ ) has frequency ω, amplitude and phase angle θ. A j( ω t+ θ ) jθ jω t jθ Ae Ae e Ae A θ Looking at a Capacitor i C dv dt Ie ( ) j( ω t+ θ ) j( ω t+ φ ) C dv dt Ve jω t jθ jω t jφ Ie e jω CV e e
13 jθ Ie jω CV e jφ I θ jω CV φ I jω CV V 1 jω C I Z C 1 jω C Similarly: Z R Z jω L R L If we apply an input sinusoid of the form jω t [ ] v v( t) Re Ve V cosωt IN : No phase angle
14 The RC circuit can now be analyzed using the complex impedance representation v OUT v IN Z C ZC + Z R v IN 1 1 jω C jω C + R v OUT v IN 1+ 1 jω RC v v OUT IN / 2 [ 1+ ( ωrc) ] v OUT tan 1 ωrc
15 v v OUT IN 1( 1 jωrc) ( 1+ jωrc)( 1 jωrc) 1 jωrc 1+ ω R C A( 1 jωrc)
16 The analysis can also be performed on the following circuit
17 In the frequency domain the response to a single frequency sinusoid is given by v OUT v IN Z R ZR + Z C v IN 1 R j C + R ω v OUT v IN jω RC 1+ jω RC v v OUT IN ωrc [ 1+ ( ωrc) ] 2 1 / 2
18 π vout tan 2 1 ωrc v OUT v IN jωrc 1+ jωrc ( 1 jωrc) ω R C ( 1 jωrc) 1+ ω + jωrc R C Aω R C + jaωrc
19 Bode Plot Representation For any linear circuit with a frequency dependent system function, both the magnitude and phase angle of the response are of great interest Often desirable to know these values over a wide frequency range Helpful to display information in graphical form called a Bode plot
20
21 Common to express magnitude in decibels db 20log10 v v OUT IN
22
23
24 Arbitrary System Functions Constructing a Bode plot of a complex circuit is greatly simplified if it can be expressed in the form H( jω ) jω jω jω 1+ ω 1 + ω K 2 4 A + jω jω jω 1 ω 1 + ω 1 + ω K Where ω1, ω2, ωn are the breakpoints of the system function and A is a constant The solitary jω in the numerator is not present in all system functions Each ωn in the numerator is called a zero. Each ωn in the denominator is called a pole. If the input frequency ω is well below the breakpoint frequency ωn the term associated with ωn will not affect the system transfer function jω 1+ 1 ω n jω o 1+ 0 for ω << ω ω n n
25 If the driving frequency is well above ωn the term associated with ωn will contribute a factor ω/ωn to the magnitude and an angle factor of 90 H j ω ω n ω ω + jω jω o 1 90 ω >> ω ω ω n n n n Given these guidelines the bode plot can be easily constructed. Beginning at a frequency far below the lowest breakpoint and increasing the frequency. As the frequency passes through each breakpoint its term will contribute a factor ω/ωn to the magnitude and 90 to the phase angle. If ωn is in the numerator the slope of the magnitude Bode plot shifts upward by a factor +20 db/decade. If ωn is in the denominator the slope will shift downward 20 db/decade. If ωn is in the numerator the angle will shift +90. If ωn is in the denominator the angle will shift 90.
26 At the breakpoint the phase shift will be equal to ± 45 If the solitary factor jω appears in the numerator the Bode plot will begin with a +20 db/decade slope and a phase angle of +90 at low frequencies Problem: Construct a Bode plot for the following transfer function. H( jω ) vout ( t) v IN jω jω jω jω
27
28 at ω ( ) 4 7 ( )( ) ω ω > vout v ( ω )( ω ) IN db
29 Problem: Construct a Bode plot for the following function. H( jω ) vout ( jω ) 100 v jω jω IN
30
31
32 Superposition of Poles Many applications require a constant response over a range of frequencies called the midband. The limits of the midband region may not coincide with a single pole since multiple poles can contribute to the output response Consider a system function as follows H( jω ) jω jω jω jω ( 2 x10 )
33
34 H ω ω H 100ω H 2 1 / / / 2 H 1 H H ω ω ω x db down from midband value ω H x10 4 rad / s
35 It is possible to approximate ω L and ω H with multiple poles using superposition of poles The system function is first put into the following form
36 Where A o is the midband magnitude and H L and H H are the low and high frequency contributions It can be shown that K ω ω ω ω H 1 2 n ω ω + ω + Kω L a b m
37 Sources of Capacitance in Electronic Circuits Capacitance plays a dominant role in shaping the time and frequency response Inductances are usually important only well above breakpoint frequencies of major circuit capacitances Some exceptions include: Power circuits using transformers RF circuits Oscillator circuits High speed digital circuits Filters Common sources of capacitance Discrete capacitors Interconnect (stray) capacitance Internal capacitance of devices
38 Stray Lead Capacitance Capacitance due to connections between devices Sometimes referred to as package capacitance Usually small < 10 pf
39 Stray Lead Inductance Stray lead inductance result from closed conduction paths Only important for high frequency signals or large signal paths
40 Internal PN Junction Capacitance PN junction forms the basis of Mos semiconductor devices The junction exhibits capacitance in both forward and reverse bias conditions This capacitance is usually much larger than stray capacitance and therefore dominates frequency dependent behavior
41 Internal PN Junction Capacitance As a result of junction capacitances we can develop a revised small signal model of the BJT. This model is commonly referred to as the Hybrid PI model. In most cases the base resistance r x can be ignored Important to note that the dependent source is dependent on the current through r π (i.e. i π ) not on the total base current i b It is possible to write g m v π in terms of i b if the frequency dependence of β o is taken into account g v g ( r i ) β i β i m π m π π ο π ο b
42 Internal PN Junction Capacitance
43
44 g v m π β ( ω ) β ( ω ) Ι β ο b 1 1+ jω r ( C + C ) π π µ  β(ω) is equivalent to β ο below the pole formed by C π and C µ ω H 1 r ( C + C ) π π µ
45
46 At Frequency ωt β ο ( ω ) β ο jω r ( C + C ) T π π µ 2 1 / ω T rπ ( Cπ + Cµ ) ω T rπ ( Cπ + Cµ ) ω T β ο gm r ( C + C ) ( C + C ) π π µ π µ C gm C ω π µ T
47 MOSFET Model Similar models can be developed for other devices such as the small signal MOSFET model below
48 Time and Frequency Response Presence of stray, internal and discrete circuit capacitance greatly affects the way electronic circuits respond to timevarying input signals Incremental step response of a transistor amplifier
49
50
51 v g ( R r ) v g R v OUT m c o π m c π v π t v e s / ( r C ) in s for t > 0 r R r in A π v g R v g R v e t r C in s / OUT m c π m c s Small signal voltage decays to zero over time Total output voltage returns to the DC bias value In practice make C s large such that v v OUT s lim r C in s g R m c For the circuit in Fig. 9.24, V cc 5V, C s 1µF, R A 1MΩ, R C 3.3 kω, βf βο 200, V f 0.6V, η 1 v in square wave with V p 5mV
52
53
54
55 r in C s 5.7 ms
56 Time and Frequency Response Complete description of a circuit must include the effects of internal capacitances C π and C µ C π and C µ are usually small compared to C s The time constant r in C s will be long compared to the time duration over which C π and C µ affect circuit response. Therefore C s can be treated as an incremental short circuit
57
58
59 Using Miller s Theorem C C v v C C v v A OUT B OUT µ π µ π 1 1 For Transverse Capacitance C x Z Z V V j C j C V V j C V V C C V V C C V V A x B A A x B A x B A A x B A B x A B or Similarly ω ω ω
60 Miller s Theorem Equivalence principle that can be applied to any port of a linear circuit that is connected to another port by a transverse element
61 V I R V I V R I V V R R R V V V R V V I V R V R V V V V V R R R V V V R V V A A x B A A A A A B x A x A A B x B A A A A A x A B A A B x B x B A B x A B i.e.
62 Time and Frequency Response For the circuit configuration of figure 9.30 over the duration of the principal time constant the current through C µ is negligible compared to the current through g m v π if g m r π >> 1 i i g v g r i µ π m π m π π v g ( R r ) OUT m c o [ 1 ( )] C C + g R r A µ m c o C B C µ
63 Time and Frequency Response Taking the Thevenin equivalent of v in, R A, r x and r π results in the following circuit
64 The input loop has the same form as a simple RC circuit for an input step function v s u(t) v v e t r s C C A π π Th / ( + ) 1 v Th v s r π rπ r u ( + t ) x If r x << r π then r s r x v v e t r x C C A π π s / ( + ) 1 u( t) v g v R r g R r e t r C C OUT x A m π c o π m c o / ( + ) ( ) ( ) 1 vsu( t)
65 The principal time constant is r x (C π + C A ) The current source g m v π will not be shorted out by C B if: ( R r ) C << r ( C + C ) c o B x π A where (R c r o )C B is the time constant for C B
Frequency Response. Re ve jφ e jωt ( ) where v is the amplitude and φ is the phase of the sinusoidal signal v(t). ve jφ
27 Frequency Response Before starting, review phasor analysis, Bode plots... Key concept: smallsignal models for amplifiers are linear and therefore, cosines and sines are solutions of the linear differential
More informationI. Frequency Response of Voltage Amplifiers
I. Frequency Response of Voltage Amplifiers A. CommonEmitter Amplifier: V i SUP i OUT R S V BIAS R L v OUT V Operating Point analysis: 0, R s 0, r o >, r oc >, R L > Find V BIAS such that I C
More informationHomework Assignment 08
Homework Assignment 08 Question 1 (Short Takes) Two points each unless otherwise indicated. 1. Give one phrase/sentence that describes the primary advantage of an active load. Answer: Large effective resistance
More information55:041 Electronic Circuits The University of Iowa Fall Exam 2
Exam 2 Name: Score /60 Question 1 One point unless indicated otherwise. 1. An engineer measures the (step response) rise time of an amplifier as t r = 0.35 μs. Estimate the 3 db bandwidth of the amplifier.
More informationESE319 Introduction to Microelectronics Bode Plot Review High Frequency BJT Model
Bode Plot Review High Frequency BJT Model 1 Logarithmic Frequency Response Plots (Bode Plots) Generic form of frequency response rational polynomial, where we substitute jω for s: H s=k sm a m 1 s m 1
More informationLecture 37: Frequency response. Context
EECS 05 Spring 004, Lecture 37 Lecture 37: Frequency response Prof J. S. Smith EECS 05 Spring 004, Lecture 37 Context We will figure out more of the design parameters for the amplifier we looked at in
More informationFirst and Second Order Circuits. Claudio Talarico, Gonzaga University Spring 2015
First and Second Order Circuits Claudio Talarico, Gonzaga University Spring 2015 Capacitors and Inductors intuition: bucket of charge q = Cv i = C dv dt Resist change of voltage DC open circuit Store voltage
More informationECE 255, Frequency Response
ECE 255, Frequency Response 19 April 2018 1 Introduction In this lecture, we address the frequency response of amplifiers. This was touched upon briefly in our previous lecture in Section 7.5 of the textbook.
More informationECE 3050A, Spring 2004 Page 1. FINAL EXAMINATION  SOLUTIONS (Average score = 78/100) R 2 = R 1 =
ECE 3050A, Spring 2004 Page Problem (20 points This problem must be attempted) The simplified schematic of a feedback amplifier is shown. Assume that all transistors are matched and g m ma/v and r ds.
More informationReview of Linear TimeInvariant Network Analysis
D1 APPENDIX D Review of Linear TimeInvariant Network Analysis Consider a network with input x(t) and output y(t) as shown in Figure D1. If an input x 1 (t) produces an output y 1 (t), and an input x
More informationCHAPTER.6 :TRANSISTOR FREQUENCY RESPONSE
CHAPTER.6 :TRANSISTOR FREQUENCY RESPONSE To understand Decibels, log scale, general frequency considerations of an amplifier. low frequency analysis  Bode plot low frequency response BJT amplifier Miller
More informationECE343 Test 2: Mar 21, :008:00, Closed Book. Name : SOLUTION
ECE343 Test 2: Mar 21, 2012 6:008:00, Closed Book Name : SOLUTION 1. (25 pts) (a) Draw a circuit diagram for a differential amplifier designed under the following constraints: Use only BJTs. (You may
More informationECE 546 Lecture 11 MOS Amplifiers
ECE 546 Lecture MOS Amplifiers Spring 208 Jose E. SchuttAine Electrical & Computer Engineering University of Illinois jesa@illinois.edu ECE 546 Jose Schutt Aine Amplifiers Definitions Used to increase
More informationHomework Assignment 11
Homework Assignment Question State and then explain in 2 3 sentences, the advantage of switched capacitor filters compared to continuoustime active filters. (3 points) Continuous time filters use resistors
More informationChapter 10: Sinusoidal SteadyState Analysis
Chapter 10: Sinusoidal SteadyState Analysis 1 Objectives : sinusoidal functions Impedance use phasors to determine the forced response of a circuit subjected to sinusoidal excitation Apply techniques
More informationEE105 Fall 2015 Microelectronic Devices and Circuits Frequency Response. Prof. Ming C. Wu 511 Sutardja Dai Hall (SDH)
EE05 Fall 205 Microelectronic Devices and Circuits Frequency Response Prof. Ming C. Wu wu@eecs.berkeley.edu 5 Sutardja Dai Hall (SDH) Amplifier Frequency Response: Lower and Upper Cutoff Frequency Midband
More informationDesigning Information Devices and Systems II Fall 2018 Elad Alon and Miki Lustig Discussion 5A
EECS 6B Designing Information Devices and Systems II Fall 208 Elad Alon and Miki Lustig Discussion 5A Transfer Function When we write the transfer function of an arbitrary circuit, it always takes the
More informationK.K. Gan L3: RLC AC Circuits. amplitude. Volts. period. Vo
Lecture 3: RLC AC Circuits AC (Alternative Current): Most of the time, we are interested in the voltage at a point in the circuit will concentrate on voltages here rather than currents. We encounter
More information09/29/2009 Reading: Hambley Chapter 5 and Appendix A
EE40 Lec 10 Complex Numbers and Phasors Prof. Nathan Cheung 09/29/2009 Reading: Hambley Chapter 5 and Appendix A Slide 1 OUTLINE Phasors as notation for Sinusoids Arithmetic with Complex Numbers Complex
More informationECE342 Test 3: Nov 30, :008:00, Closed Book. Name : Solution
ECE342 Test 3: Nov 30, 2010 6:008:00, Closed Book Name : Solution All solutions must provide units as appropriate. Unless otherwise stated, assume T = 300 K. 1. (25 pts) Consider the amplifier shown
More informationSome of the different forms of a signal, obtained by transformations, are shown in the figure. jwt e z. jwt z e
Transform methods Some of the different forms of a signal, obtained by transformations, are shown in the figure. X(s) X(t) L  L F  F jw s s jw X(jw) X*(t) F  F X*(jw) jwt e z jwt z e X(nT) Z  Z X(z)
More information6.012 Electronic Devices and Circuits Spring 2005
6.012 Electronic Devices and Circuits Spring 2005 May 16, 2005 Final Exam (200 points) OPEN BOOK Problem NAME RECITATION TIME 1 2 3 4 5 Total General guidelines (please read carefully before starting):
More information(amperes) = (coulombs) (3.1) (seconds) Time varying current. (volts) =
3 Electrical Circuits 3. Basic Concepts Electric charge coulomb of negative change contains 624 0 8 electrons. Current ampere is a steady flow of coulomb of change pass a given point in a conductor in
More informationChapter 13 SmallSignal Modeling and Linear Amplification
Chapter 13 SmallSignal Modeling and Linear Amplification Microelectronic Circuit Design Richard C. Jaeger Travis N. Blalock 1/4/12 Chap 131 Chapter Goals Understanding of concepts related to: Transistors
More informationCHAPTER.4: Transistor at low frequencies
CHAPTER.4: Transistor at low frequencies Introduction Amplification in the AC domain BJT transistor modeling The re Transistor Model The Hybrid equivalent Model Introduction There are three models commonly
More informationEE348L Lecture 1. EE348L Lecture 1. Complex Numbers, KCL, KVL, Impedance,Steady State Sinusoidal Analysis. Motivation
EE348L Lecture 1 Complex Numbers, KCL, KVL, Impedance,Steady State Sinusoidal Analysis 1 EE348L Lecture 1 Motivation Example CMOS 10Gb/s amplifier Differential in,differential out, 5 stage dccoupled,broadband
More informationEE221 Circuits II. Chapter 14 Frequency Response
EE22 Circuits II Chapter 4 Frequency Response Frequency Response Chapter 4 4. Introduction 4.2 Transfer Function 4.3 Bode Plots 4.4 Series Resonance 4.5 Parallel Resonance 4.6 Passive Filters 4.7 Active
More informationSection 1: Common Emitter CE Amplifier Design
ECE 3274 BJT amplifier design CE, CE with Ref, and CC. Richard Cooper Section 1: CE amp Re completely bypassed (open Loop) Section 2: CE amp Re partially bypassed (gain controlled). Section 3: CC amp (open
More informationSCHOOL OF MATHEMATICS MATHEMATICS FOR PART I ENGINEERING. Selfpaced Course
SCHOOL OF MATHEMATICS MATHEMATICS FOR PART I ENGINEERING Selfpaced Course MODULE 26 APPLICATIONS TO ELECTRICAL CIRCUITS Module Topics 1. Complex numbers and alternating currents 2. Complex impedance 3.
More informationEE221 Circuits II. Chapter 14 Frequency Response
EE22 Circuits II Chapter 4 Frequency Response Frequency Response Chapter 4 4. Introduction 4.2 Transfer Function 4.3 Bode Plots 4.4 Series Resonance 4.5 Parallel Resonance 4.6 Passive Filters 4.7 Active
More informationBipolar Junction Transistor (BJT)  Introduction
Bipolar Junction Transistor (BJT)  Introduction It was found in 1948 at the Bell Telephone Laboratories. It is a three terminal device and has three semiconductor regions. It can be used in signal amplification
More informationExact Analysis of a CommonSource MOSFET Amplifier
Exact Analysis of a CommonSource MOSFET Amplifier Consider the commonsource MOSFET amplifier driven from signal source v s with Thévenin equivalent resistance R S and a load consisting of a parallel
More informationFinal Exam. 55:041 Electronic Circuits. The University of Iowa. Fall 2013.
Final Exam Name: Max: 130 Points Question 1 In the circuit shown, the opamp is ideal, except for an input bias current I b = 1 na. Further, R F = 10K, R 1 = 100 Ω and C = 1 μf. The switch is opened at
More informationElectronic Circuits Summary
Electronic Circuits Summary Andreas Biri, DITET 6.06.4 Constants (@300K) ε 0 = 8.854 0 F m m 0 = 9. 0 3 kg k =.38 0 3 J K = 8.67 0 5 ev/k kt q = 0.059 V, q kt = 38.6, kt = 5.9 mev V Small Signal Equivalent
More informationSinusoidal SteadyState Analysis
Chapter 4 Sinusoidal SteadyState Analysis In this unit, we consider circuits in which the sources are sinusoidal in nature. The review section of this unit covers most of section 9.1 9.9 of the text.
More informationThe Miller Approximation
The Miller Approximation The exact analysis is not particularly helpful for gaining insight into the frequency response... consider the effect of C µ on the input only I t C µ V t g m V t R'out = r o r
More informationCE/CS Amplifier Response at High Frequencies
.. CE/CS Amplifier Response at High Frequencies INEL 4202  Manuel Toledo August 20, 2012 INEL 4202  Manuel Toledo CE/CS High Frequency Analysis 1/ 24 Outline.1 High Frequency Models.2 Simplified Method.3
More informationComplex Numbers Review
Complex Numbers view ference: Mary L. Boas, Mathematical Methods in the Physical Sciences Chapter 2 & 4 George Arfken, Mathematical Methods for Physicists Chapter 6 The real numbers (denoted R) are incomplete
More informationProf. Anyes Taffard. Physics 120/220. Voltage Divider Capacitor RC circuits
Prof. Anyes Taffard Physics 120/220 Voltage Divider Capacitor RC circuits Voltage Divider The figure is called a voltage divider. It s one of the most useful and important circuit elements we will encounter.
More informationFrequency Response Prof. Ali M. Niknejad Prof. Rikky Muller
EECS 105 Spring 2017, Module 4 Frequency Response Prof. Ali M. Niknejad Department of EECS Announcements l HW9 due on Friday 2 Review: CD with Current Mirror 3 Review: CD with Current Mirror 4 Review:
More informationMICROELECTRONIC CIRCUIT DESIGN Second Edition
MICROELECTRONIC CIRCUIT DESIGN Second Edition Richard C. Jaeger and Travis N. Blalock Answers to Selected Problems Updated 10/23/06 Chapter 1 1.3 1.52 years, 5.06 years 1.5 2.00 years, 6.65 years 1.8 113
More informationEE105 Fall 2014 Microelectronic Devices and Circuits
EE05 Fall 204 Microelectronic Devices and Circuits Prof. Ming C. Wu wu@eecs.berkeley.edu 5 Sutardja Dai Hall (SDH) Terminal Gain and I/O Resistances of BJT Amplifiers Emitter (CE) Collector (CC) Base (CB)
More informationReview of 1 st Order Circuit Analysis
ECEN 60 Circuits/Electronics Spring 007707 P. Mathys Review of st Order Circuit Analysis First Order Differential Equation Consider the following circuit with input voltage v S (t) and output voltage
More informationChapter 5. BJT AC Analysis
Chapter 5. Outline: The r e transistor model CB, CE & CC AC analysis through r e model commonemitter fixedbias voltagedivider bias emitterbias & emitterfollower commonbase configuration Transistor
More informationExercise s = 1. cos 60 ± j sin 60 = 0.5 ± j 3/2. = s 2 + s + 1. (s + 1)(s 2 + s + 1) T(jω) = (1 + ω2 )(1 ω 2 ) 2 + ω 2 (1 + ω 2 )
Exercise 7 Ex: 7. A 0 log T [db] T 0.99 0.9 0.8 0.7 0.5 0. 0 A 0 0. 3 6 0 Ex: 7. A max 0 log.05 0 log 0.95 0.9 db [ ] A min 0 log 40 db 0.0 Ex: 7.3 s + js j Ts k s + 3 + j s + 3 j s + 4 k s + s + 4 + 3
More informationElectronics. Basics & Applications. group talk Daniel Biesinger
Electronics Basics & Applications group talk 23.7.2010 by Daniel Biesinger 1 2 Contents Contents Basics Simple applications Equivalent circuit Impedance & Reactance More advanced applications  RC circuits
More informationECE Networks & Systems
ECE 342 1. Networks & Systems Jose E. Schutt Aine Electrical & Computer Engineering University of Illinois jschutt@emlab.uiuc.edu 1 What is Capacitance? 1 2 3 Voltage=0 No Charge No Current Voltage build
More informationBasic Electronics. Introductory Lecture Course for. Technology and Instrumentation in Particle Physics Chicago, Illinois June 914, 2011
Basic Electronics Introductory Lecture Course for Technology and Instrumentation in Particle Physics 2011 Chicago, Illinois June 914, 2011 Presented By Gary Drake Argonne National Laboratory Session 2
More informationSinusoidal SteadyState Analysis
Sinusoidal SteadyState Analysis Almost all electrical systems, whether signal or power, operate with alternating currents and voltages. We have seen that when any circuit is disturbed (switched on or
More informationSinusoids and Phasors
CHAPTER 9 Sinusoids and Phasors We now begins the analysis of circuits in which the voltage or current sources are timevarying. In this chapter, we are particularly interested in sinusoidally timevarying
More informationAC Circuits. The Capacitor
The Capacitor Two conductors in close proximity (and electrically isolated from one another) form a capacitor. An electric field is produced by charge differences between the conductors. The capacitance
More informationSinusoidal steadystate analysis
Sinusoidal steadystate analysis From our previous efforts with AC circuits, some patterns in the analysis started to appear. 1. In each case, the steadystate voltages or currents created in response
More informationESE319 Introduction to Microelectronics Common Emitter BJT Amplifier
Common Emitter BJT Amplifier 1 Adding a signal source to the single power supply bias amplifier R C R 1 R C V CC V CC V B R E R 2 R E Desired effect addition of bias and signal sources Starting point 
More informationCARLETON UNIVERSITY. FINAL EXAMINATION December DURATION 3 HOURS No. of Students 130
ALETON UNIVESITY FINAL EXAMINATION December 005 DUATION 3 HOUS No. of Students 130 Department Name & ourse Number: Electronics ELE 3509 ourse Instructor(s): Prof. John W. M. ogers and alvin Plett AUTHOIZED
More informationSolved Problems. Electric Circuits & Components. 11 Write the KVL equation for the circuit shown.
Solved Problems Electric Circuits & Components 11 Write the KVL equation for the circuit shown. 12 Write the KCL equation for the principal node shown. 12A In the DC circuit given in Fig. 1, find (i)
More informationUse of a Notch Filter in a Tuned Mode for LISA.
Use of a Notch Filter in a Tuned Mode for LISA. Giorgio Fontana September 00 Abstract. During interferometric measurements the proof mass must be free from any controlling force within a given observation
More informationChapter 8: Converter Transfer Functions
Chapter 8. Converter Transfer Functions 8.1. Review of Bode plots 8.1.1. Single pole response 8.1.2. Single zero response 8.1.3. Right halfplane zero 8.1.4. Frequency inversion 8.1.5. Combinations 8.1.6.
More informationElectric Circuit Theory
Electric Circuit Theory Nam Ki Min nkmin@korea.ac.kr 01094192320 Chapter 11 Sinusoidal SteadyState Analysis Nam Ki Min nkmin@korea.ac.kr 01094192320 Contents and Objectives 3 Chapter Contents 11.1
More informationRLC Circuits and Resonant Circuits
P517/617 Lec4, P1 RLC Circuits and Resonant Circuits Consider the following RLC series circuit What's R? Simplest way to solve for is to use voltage divider equation in complex notation. X L X C in 0
More informationENGN3227 Analogue Electronics. Problem Sets V1.0. Dr. Salman Durrani
ENGN3227 Analogue Electronics Problem Sets V1.0 Dr. Salman Durrani November 2006 Copyright c 2006 by Salman Durrani. Problem Set List 1. Opamp Circuits 2. Differential Amplifiers 3. Comparator Circuits
More informationChapter 10 Feedback. PART C: Stability and Compensation
1 Chapter 10 Feedback PART C: Stability and Compensation Example: Noninverting Amplifier We are analyzing the two circuits (nmos diff pair or pmos diff pair) to realize this symbol: either of the circuits
More informationID # NAME. EE255 EXAM 3 April 7, Instructor (circle one) Ogborn Lundstrom
ID # NAME EE255 EXAM 3 April 7, 1998 Instructor (circle one) Ogborn Lundstrom This exam consists of 20 multiple choice questions. Record all answers on this page, but you must turn in the entire exam.
More informationFall 2011 ME 2305 Network Analysis. Sinusoidal Steady State Analysis of RLC Circuits
Fall 2011 ME 2305 Network Analysis Chapter 4 Sinusoidal Steady State Analysis of RLC Circuits Engr. Humera Rafique Assistant Professor humera.rafique@szabist.edu.pk Faculty of Engineering (Mechatronics)
More information55:041 Electronic Circuits The University of Iowa Fall Final Exam
Final Exam Name: Score Max: 135 Question 1 (1 point unless otherwise noted) a. What is the maximum theoretical efficiency for a classb amplifier? Answer: 78% b. The abbreviation/term ESR is often encountered
More informationChapter 9 Frequency Response. PART C: High Frequency Response
Chapter 9 Frequency Response PART C: High Frequency Response Discrete Common Source (CS) Amplifier Goal: find high cutoff frequency, f H 2 f H is dependent on internal capacitances V o Load Resistance
More informationChapter 10: Sinusoids and Phasors
Chapter 10: Sinusoids and Phasors 1. Motivation 2. Sinusoid Features 3. Phasors 4. Phasor Relationships for Circuit Elements 5. Impedance and Admittance 6. Kirchhoff s Laws in the Frequency Domain 7. Impedance
More informationREACTANCE. By: Enzo Paterno Date: 03/2013
REACTANCE REACTANCE By: Enzo Paterno Date: 03/2013 5/2007 Enzo Paterno 1 RESISTANCE  R i R (t R A resistor for all practical purposes is unaffected by the frequency of the applied sinusoidal voltage or
More informationEECS 105: FALL 06 FINAL
University of California College of Engineering Department of Electrical Engineering and Computer Sciences Jan M. Rabaey TuTh 23:30 Wednesday December 13, 12:303:30pm EECS 105: FALL 06 FINAL NAME Last
More informationSchedule. ECEN 301 Discussion #20 Exam 2 Review 1. Lab Due date. Title Chapters HW Due date. Date Day Class No. 10 Nov Mon 20 Exam Review.
Schedule Date Day lass No. 0 Nov Mon 0 Exam Review Nov Tue Title hapters HW Due date Nov Wed Boolean Algebra 3. 3.3 ab Due date AB 7 Exam EXAM 3 Nov Thu 4 Nov Fri Recitation 5 Nov Sat 6 Nov Sun 7 Nov Mon
More informationEE40 Lecture 11 Josh Hug 7/19/2010
EE40 Lecture Josh 7/9/200 Logistical Things Lab 4 tomorrow Lab 5 (active filter lab) on Wednesday Prototype for future lab for EE40 Prelab is very short, sorry. Please give us our feedback Google docs
More informationUniversity of Toronto. Final Exam
University of Toronto Final Exam Date  Dec 16, 013 Duration:.5 hrs ECE331 Electronic Circuits Lecturer  D. Johns ANSWER QUESTIONS ON THESE SHEETS USING BACKS IF NECESSARY 1. Equation sheet is on last
More informationEE 330. Lecture 35. Parasitic Capacitances in MOS Devices
EE 330 Lecture 35 Parasitic Capacitances in MOS Devices Exam 2 Wed Oct 24 Exam 3 Friday Nov 16 Review from Last Lecture Cascode Configuration Discuss V CC gm1 gm1 I B VCC V OUT g02 g01 A  β β VXX Q 2
More informationHomework Assignment 09
Homework Assignment 09 Question 1 (Short Takes) Two points each unless otherwise indicated. 1. What is the 3dB bandwidth of the amplifier shown below if r π = 2.5K, r o = 100K, g m = 40 ms, and C L =
More informationElectronics II. Final Examination
The University of Toledo f6fs_elct7.fm  Electronics II Final Examination Problems Points. 5. 0 3. 5 Total 40 Was the exam fair? yes no The University of Toledo f6fs_elct7.fm  Problem 5 points Given is
More informationECE 202 Fall 2013 Final Exam
ECE 202 Fall 2013 Final Exam December 12, 2013 Circle your division: Division 0101: Furgason (8:30 am) Division 0201: Bermel (9:30 am) Name (Last, First) Purdue ID # There are 18 multiple choice problems
More informationPhasors: Impedance and Circuit Anlysis. Phasors
Phasors: Impedance and Circuit Anlysis Lecture 6, 0/07/05 OUTLINE Phasor ReCap Capacitor/Inductor Example Arithmetic with Complex Numbers Complex Impedance Circuit Analysis with Complex Impedance Phasor
More informationECE3050 Assignment 7
ECE3050 Assignment 7. Sketch and label the Bode magnitude and phase plots for the transfer functions given. Use loglog scales for the magnitude plots and linearlog scales for the phase plots. On the magnitude
More informationLecture 050 Followers (1/11/04) Page ECE Analog Integrated Circuits and Systems II P.E. Allen
Lecture 5 Followers (1/11/4) Page 51 LECTURE 5 FOLLOWERS (READING: GHLM 344362, AH 221226) Objective The objective of this presentation is: Show how to design stages that 1.) Provide sufficient output
More informationDevice Physics: The Bipolar Transistor
Monolithic Amplifier Circuits: Device Physics: The Bipolar Transistor Chapter 4 Jón Tómas Guðmundsson tumi@hi.is 2. Week Fall 2010 1 Introduction In analog design the transistors are not simply switches
More informationElectronics II. Midterm II
The University of Toledo f4ms_elct7.fm  Section Electronics II Midterm II Problems Points. 7. 7 3. 6 Total 0 Was the exam fair? yes no The University of Toledo f4ms_elct7.fm  Problem 7 points Given in
More informationLecture 150 Simple BJT Op Amps (1/28/04) Page 1501
Lecture 50 Simple BJT Op Amps (/28/04) Page 50 LECTURE 50 SIMPLE BJT OP AMPS (READING: TextGHLM 425434, 453454, AH 249253) INTRODUCTION The objective of this presentation is:.) Illustrate the analysis
More informationECE 304: Design Issues for Voltage Follower as Output Stage S&S Chapter 14, pp
ECE 34: Design Issues for oltage Follower as Output Stage S&S Chapter 14, pp. 131133 Introduction The voltage follower provides a good buffer between a differential amplifier and a load in two ways: 1.
More informationLecture 4: RLC Circuits and Resonant Circuits
Lecture 4: RLC Circuits and Resonant Circuits RLC series circuit: What's V R? Simplest way to solve for V is to use voltage divider equation in complex notation: V X L X C V R = in R R + X C + X L L
More informationMultistage Amplifier Frequency Response
Multistage Amplifier Frequency Response * Summary of frequency response of singlestages: CE/CS: suffers from Miller effect CC/CD: wideband  see Section 0.5 CB/CG: wideband  see Section 0.6 (wideband
More informationOPERATIONAL AMPLIFIER APPLICATIONS
OPERATIONAL AMPLIFIER APPLICATIONS 2.1 The Ideal Op Amp (Chapter 2.1) Amplifier Applications 2.2 The Inverting Configuration (Chapter 2.2) 2.3 The Noninverting Configuration (Chapter 2.3) 2.4 Difference
More informationLecture 140 Simple Op Amps (2/11/02) Page 1401
Lecture 40 Simple Op Amps (2//02) Page 40 LECTURE 40 SIMPLE OP AMPS (READING: TextGHLM 425434, 453454, AH 249253) INTRODUCTION The objective of this presentation is:.) Illustrate the analysis of BJT and
More informationFrequency response. Pavel Máša  XE31EO2. XE31EO2 Lecture11. Pavel Máša  XE31EO2  Frequency response
Frequency response XE3EO2 Lecture Pavel Máša  Frequency response INTRODUCTION Frequency response describe frequency dependence of output to input voltage magnitude ratio and its phase shift as a function
More informationECEN 326 Electronic Circuits
ECEN 326 Electronic Circuits Frequency Response Dr. Aydın İlker Karşılayan Texas A&M University Department of Electrical and Computer Engineering HighFrequency Model BJT & MOS B or G r x C f C or D r
More informationOperational Amplifiers
Operational Amplifiers A Linear IC circuit Operational Amplifier (opamp) An opamp is a highgain amplifier that has high input impedance and low output impedance. An ideal opamp has infinite gain and
More informationEE100Su08 Lecture #11 (July 21 st 2008)
EE100Su08 Lecture #11 (July 21 st 2008) Bureaucratic Stuff Lecture videos should be up by tonight HW #2: Pick up from office hours today, will leave them in lab. REGRADE DEADLINE: Monday, July 28 th 2008,
More informationElectrical Circuit & Network
Electrical Circuit & Network January 1 2017 Website: www.electricaledu.com Electrical Engg.(MCQ) Question and Answer for the students of SSC(JE), PSC(JE), BSNL(JE), WBSEDCL, WBSETCL, WBPDCL, CPWD and State
More informationHandout 11: AC circuit. AC generator
Handout : AC circuit AC generator Figure compares the voltage across the directcurrent (DC) generator and that across the alternatingcurrent (AC) generator For DC generator, the voltage is constant For
More informationDynamic circuits: Frequency domain analysis
Electronic Circuits 1 Dynamic circuits: Contents Free oscillation and natural frequency Transfer functions Frequency response Bode plots 1 System behaviour: overview 2 System behaviour : review solution
More informationCapacitors Diodes Transistors. PC200 Lectures. Terry Sturtevant. Wilfrid Laurier University. June 4, 2009
Wilfrid Laurier University June 4, 2009 Capacitor an electronic device which consists of two conductive plates separated by an insulator Capacitor an electronic device which consists of two conductive
More informationLecture 23: Negative Resistance Osc, Differential Osc, and VCOs
EECS 142 Lecture 23: Negative Resistance Osc, Differential Osc, and VCOs Prof. Ali M. Niknejad University of California, Berkeley Copyright c 2005 by Ali M. Niknejad A. M. Niknejad University of California,
More informationSolution: K m = R 1 = 10. From the original circuit, Z L1 = jωl 1 = j10 Ω. For the scaled circuit, L 1 = jk m ωl 1 = j10 10 = j100 Ω, Z L
Problem 9.9 Circuit (b) in Fig. P9.9 is a scaled version of circuit (a). The scaling process may have involved magnitude or frequency scaling, or both simultaneously. If R = kω gets scaled to R = kω, supply
More informationEE 230. Lecture 4. Background Materials
EE 230 Lecture 4 Background Materials Transfer Functions Test Equipment in the Laboratory Quiz 3 If the input to a system is a sinusoid at KHz and if the output is given by the following expression, what
More informationIntroduction to AC Circuits (Capacitors and Inductors)
Introduction to AC Circuits (Capacitors and Inductors) Amin Electronics and Electrical Communications Engineering Department (EECE) Cairo University elc.n102.eng@gmail.com http://scholar.cu.edu.eg/refky/
More informationVer 3537 E1.1 Analysis of Circuits (2014) E1.1 Circuit Analysis. Problem Sheet 1 (Lectures 1 & 2)
Ver 3537 E. Analysis of Circuits () Key: [A]= easy... [E]=hard E. Circuit Analysis Problem Sheet (Lectures & ). [A] One of the following circuits is a series circuit and the other is a parallel circuit.
More informationRIB. ELECTRICAL ENGINEERING Analog Electronics. 8 Electrical Engineering RIBR T7. Detailed Explanations. Rank Improvement Batch ANSWERS.
8 Electrical Engineering RIBR T7 Session 089 S.No. : 9078_LS RIB Rank Improvement Batch ELECTRICL ENGINEERING nalog Electronics NSWERS. (d) 7. (a) 3. (c) 9. (a) 5. (d). (d) 8. (c) 4. (c) 0. (c) 6. (b)
More information