Operational Amplifiers

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Operational Amplifiers"

Transcription

1 Operational Amplifiers A Linear IC circuit Operational Amplifier (op-amp) An op-amp is a high-gain amplifier that has high input impedance and low output impedance. An ideal op-amp has infinite gain and input impedance and zero output impedance. An integrated circuit (IC) contains a number of components on a single piece of semiconductor. Most op-amps are IC chips. 1

2 The 741 Operational Amplifier Op-Amp Input/Output We consider the opamp as a single component with input and output characteristics. Two signal inputs: Inverting Non-inverting Two dc power supply leads (+ and ) One output lead 2

3 Op-Amp Packages The Operation of Op-amps The input stage of an op-amp is a differential amplifier. The op-amp amplifies the difference between the two input terminal voltages. V diff =V 2 V 1 V 1 V 2 + 3

4 Op-Amp Output The output of the amplifier is determined by The gain of the amplifier. The polarity relationship between V 1 and V 2. The values of the supply voltages, +V and -V. The load resistance Op-Amp Gain The maximum possible gain of an op-amp is called the open-loop gain A OL. Generally A OL is greater than 10,000. Typical values are on the order of 200,000. An ideal op-amp would have infinite gain. 4

5 Input/Output Polarity The output polarity follows the sign of V diff. If V 2 V 1 > 0 the output polarity will be positive. If V 2 V 1 < 0 the output polarity will be negative. V 1 V 2 + Supply Voltages The supply voltages determine the limits of output voltage swing. No matter what the gain and input voltages the output value can not exceed +V or V. In practice the maximum output voltage is slightly less than the supply voltages. For resistive loads > 10kΩ the output voltages are about 1V less than the supply voltages. For resistive loads > 2kΩ the output voltages are about 2V less than the supply voltages. 5

6 Open Loop Op-amp Use As the open loop gain of most op-amps is extremely large the output of an open-loop circuit is either the maximum positive or negative voltage. +15 V V 1 V 2 + # + 14 V V > V 2 V out = " $ 14 V V2 <! V V Feedback Circuits 6

7 Feedback Most op-amp circuits are designed to use feedback. Feedback is defined as taking a portion of the output of a circuit and coupling or feeding it back into the input. If the output fed back is in phase with the input then the circuit has positive feedback. If the output fed back is out of phase with the input then the circuit has negative feedback. Negative Feedback Most amplifiers use negative feedback. Disadvantages: decreased gain. Advantages: increased circuit stability, increased input impedance, decreased output impedance, increased frequency bandwidth at constant gain. 7

8 Negative Voltage Feedback A fraction B < 1 of the output voltage is subtracted from the input voltage. v " =! Bv out Σ v A OL v out -B Negative Voltage Feedback The closed loop gain, A v, is defined as The closed loop gain can be calculated from two equations Σ v A OL v out -B 8

9 Negative Voltage Feedback Solving for A v gives Usually the open-loop gain is so large that we can approximate: Σ v A OL v out -B Negative Feedback The gain of the amplifier circuit depends only on B, the fraction of output voltage fed back. B can be made very constant so that the amplifier has great gain stabilization. Bv out R 1 v out Example: B could be determined by two resistors in a voltage divider relationship. R 2 9

10 Negative Feedback Impedance The input and output impedance is also changed by the feedback. Op-Amp Circuits With Negative Feedback 10

11 Non-Inverting Amplifier Using Kirchoff s rule, Ohm s Law, and our knowledge of op-amps we can derive a closed loop-voltage gain for the non-inverting amplifier circuit shown below. i 2 i 1 R 2 R 1 i v 1 v 2 v out Non-Inverting Amplifier As the input resistance of the op-amp is very large we can neglect i. The output voltage is given by the voltage difference and the open-loop gain. i 2 i 1 R 2 R 1 i v 1 v 2 v out 11

12 Non-Inverting Amplifier Combining the previous equations we find: A v = v out = A OL (R 1 + R 2 ) (A OL +1)R 1 + R 2 If the open-loop gain is very large: i 2 i 1 R 2 R 1 i v 1 v 2 v out Inverting Amplifier Using Kirchoff s rule, Ohm s Law, and our knowledge of op-amps we can derive a closed loop-voltage gain for the inverting amplifier circuit shown below i 2 i 1 R 2 R 1 i v 1 v 2 vout 12

13 Inverting Amplifier The output voltage is related to the voltage difference. Neglecting i and combining the equations gives i 2 i 1 R 2 R 1 i v 1 v 2 vout Inverting Amplifier For a very large open-loop gain becomes i 2 i 1 R 2 R 1 i v 1 v 2 vout 13

14 The Two Golden Rules of Op-Amp Circuits Notice in both derivations two approximations were made: (1) the input current i flowing into the op-amp was neglected compared to other currents; and (2) the open-loop op amp gain A OL was assumed to be very large compared to the gain with feedback. These two approximations can be extended to form two golden rules for analyzing an op-amp circuits with negative feedback. Op-Amp Current Rule (OACR): The current into or out of each op-amp input terminal is approximately zero. Op-Amp Voltage Rule (OAVR): The voltage difference between the two op-amp input terminals is approximately zero. Op-Amp Current Rule The OACR basically says that the input impedance of the op-amp is much higher than the external input impedance from the input terminal to ground. For BJT op-amps input impedance is on the order of 10MΩ. For FET op-amps input impedance is on the order of Ω. 14

15 Op-Amp Voltage Rule The OAVR is the equivalent of saying that the open-loop gain is infinite. The output of the op-amp can never be greater than the supply voltage (~15V) which means that (v 2 -v 1 ) must be less that 150 µv for a typical A OL or the output will be saturated. Therefore if the op-amp is not saturated then the difference between the input terminals must be nearly zero. The rule says that in an actual op amp circuit the negative feedback plus the high gain of the op-amp effectively zeros the difference between the two inputs. Non-inverting Amp OACR: i 1 = i 2 OAVR: v 1 = v 2 = i 2 i R 1 2 R 1 v 1 v 2 v out 15

16 Inverting Amp OACR: i 1 = i 2 OAVR: v 1 = v 2 = 0 i 2 i R 1 2 R 1 v 1 v 2 vout Instrumentation Amplifier 16

17 Peak Detection Amplifier Positive Feedback 17

18 Positive Feedback Circuits Rather than placing a portion of the output back into the inverting input a portion of the output is sent back to the non-inverting terminal to produce positive feedback. Positive Feedback Circuits Oscillators 18

19 Positive Feedback Circuits Oscillators 19

D is the voltage difference = (V + - V - ).

D is the voltage difference = (V + - V - ). 1 Operational amplifier is one of the most common electronic building blocks used by engineers. It has two input terminals: V + and V -, and one output terminal Y. It provides a gain A, which is usually

More information

E1.1 Analysis of Circuits ( ) Revision Lecture 1 1 / 13

E1.1 Analysis of Circuits ( ) Revision Lecture 1 1 / 13 RevisionLecture 1: E1.1 Analysis of Circuits (2014-4530) Revision Lecture 1 1 / 13 Format Question 1 (40%): eight short parts covering the whole syllabus. Questions 2 and 3: single topic questions (answer

More information

Studio 9 Review Operational Amplifier Stability Compensation Miller Effect Phase Margin Unity Gain Frequency Slew Rate Limiting Reading: Text sec 5.

Studio 9 Review Operational Amplifier Stability Compensation Miller Effect Phase Margin Unity Gain Frequency Slew Rate Limiting Reading: Text sec 5. Studio 9 Review Operational Amplifier Stability Compensation Miller Effect Phase Margin Unity Gain Frequency Slew Rate Limiting Reading: Text sec 5.2 pp. 232-242 Two-stage op-amp Analysis Strategy Recognize

More information

DESIGN MICROELECTRONICS ELCT 703 (W17) LECTURE 3: OP-AMP CMOS CIRCUIT. Dr. Eman Azab Assistant Professor Office: C

DESIGN MICROELECTRONICS ELCT 703 (W17) LECTURE 3: OP-AMP CMOS CIRCUIT. Dr. Eman Azab Assistant Professor Office: C MICROELECTRONICS ELCT 703 (W17) LECTURE 3: OP-AMP CMOS CIRCUIT DESIGN Dr. Eman Azab Assistant Professor Office: C3.315 E-mail: eman.azab@guc.edu.eg 1 TWO STAGE CMOS OP-AMP It consists of two stages: First

More information

EE 321 Analog Electronics, Fall 2013 Homework #3 solution

EE 321 Analog Electronics, Fall 2013 Homework #3 solution EE 32 Analog Electronics, Fall 203 Homework #3 solution 2.47. (a) Use superposition to show that the output of the circuit in Fig. P2.47 is given by + [ Rf v N + R f v N2 +... + R ] f v Nn R N R N2 R [

More information

At point G V = = = = = = RB B B. IN RB f

At point G V = = = = = = RB B B. IN RB f Common Emitter At point G CE RC 0. 4 12 0. 4 116. I C RC 116. R 1k C 116. ma I IC 116. ma β 100 F 116µ A I R ( 116µ A)( 20kΩ) 2. 3 R + 2. 3 + 0. 7 30. IN R f Gain in Constant Current Region I I I C F

More information

Homework Assignment 08

Homework 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 information

ESE319 Introduction to Microelectronics. Output Stages

ESE319 Introduction to Microelectronics. Output Stages Output Stages Power amplifier classification Class A amplifier circuits Class A Power conversion efficiency Class B amplifier circuits Class B Power conversion efficiency Class AB amplifier circuits Class

More information

Time Varying Circuit Analysis

Time Varying Circuit Analysis MAS.836 Sensor Systems for Interactive Environments th Distributed: Tuesday February 16, 2010 Due: Tuesday February 23, 2010 Problem Set # 2 Time Varying Circuit Analysis The purpose of this problem set

More information

FEEDBACK AND STABILITY

FEEDBACK AND STABILITY FEEDBCK ND STBILITY THE NEGTIVE-FEEDBCK LOOP x IN X OUT x S + x IN x OUT Σ Signal source _ β Open loop Closed loop x F Feedback network Output x S input signal x OUT x IN x F feedback signal x IN x S x

More information

Chapter 10 Feedback. PART C: Stability and Compensation

Chapter 10 Feedback. PART C: Stability and Compensation 1 Chapter 10 Feedback PART C: Stability and Compensation Example: Non-inverting Amplifier We are analyzing the two circuits (nmos diff pair or pmos diff pair) to realize this symbol: either of the circuits

More information

ESE319 Introduction to Microelectronics Common Emitter BJT Amplifier

ESE319 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 information

Simultaneous equations for circuit analysis

Simultaneous equations for circuit analysis Simultaneous equations for circuit analysis This worksheet and all related files are licensed under the Creative Commons Attribution License, version 1.0. To view a copy of this license, visit http://creativecommons.org/licenses/by/1.0/,

More information

CHAPTER.4: Transistor at low frequencies

CHAPTER.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 information

OPAMPs I: The Ideal Case

OPAMPs I: The Ideal Case I: The Ideal Case The basic composition of an operational amplifier (OPAMP) includes a high gain differential amplifier, followed by a second high gain amplifier, followed by a unity gain, low impedance,

More information

Fundamentals of Electric Circuits, Second Edition - Alexander/Sadiku

Fundamentals of Electric Circuits, Second Edition - Alexander/Sadiku Chapter 3, Problem 9(8). Find V x in the network shown in Fig. 3.78. Figure 3.78 Chapter 3, Solution 9(8). Consider the circuit below. 2 Ω 2 Ω -j 8 30 o I j 4 j 4 I 2 -j2v For loop, 8 30 = (2 j4)i ji 2

More information

Operational amplifiers (Op amps)

Operational amplifiers (Op amps) Operational amplifiers (Op amps) v R o R i v i Av i v View it as an ideal amp. Take the properties to the extreme: R i, R o 0, A.?!?!?!?! v v i Av i v A Consequences: No voltage dividers at input or output.

More information

ESE319 Introduction to Microelectronics. Feedback Basics

ESE319 Introduction to Microelectronics. Feedback Basics Feedback Basics Stability Feedback concept Feedback in emitter follower One-pole feedback and root locus Frequency dependent feedback and root locus Gain and phase margins Conditions for closed loop stability

More information

Chapter 2. Engr228 Circuit Analysis. Dr Curtis Nelson

Chapter 2. Engr228 Circuit Analysis. Dr Curtis Nelson Chapter 2 Engr228 Circuit Analysis Dr Curtis Nelson Chapter 2 Objectives Understand symbols and behavior of the following circuit elements: Independent voltage and current sources; Dependent voltage and

More information

EE105 Fall 2014 Microelectronic Devices and Circuits

EE105 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 information

Feedback design for the Buck Converter

Feedback design for the Buck Converter Feedback design for the Buck Converter Portland State University Department of Electrical and Computer Engineering Portland, Oregon, USA December 30, 2009 Abstract In this paper we explore two compensation

More information

Section 4. Nonlinear Circuits

Section 4. Nonlinear Circuits Section 4 Nonlinear Circuits 1 ) Voltage Comparators V P < V N : V o = V ol V P > V N : V o = V oh One bit A/D converter, Practical gain : 10 3 10 6 V OH and V OL should be far apart enough Response Time:

More information

Chapter 2 - DC Biasing - BJTs

Chapter 2 - DC Biasing - BJTs Objectives Chapter 2 - DC Biasing - BJTs To Understand: Concept of Operating point and stability Analyzing Various biasing circuits and their comparison with respect to stability BJT A Review Invented

More information

Homework Assignment 09

Homework Assignment 09 Homework Assignment 09 Question 1 (Short Takes) Two points each unless otherwise indicated. 1. What is the 3-dB bandwidth of the amplifier shown below if r π = 2.5K, r o = 100K, g m = 40 ms, and C L =

More information

or Op Amps for short

or Op Amps for short or Op Amps for short Objective of Lecture Describe how an ideal operational amplifier (op amp) behaves. Define voltage gain, current gain, transresistance gain, and transconductance gain. Explain the operation

More information

CHAPTER 3: TRANSISTOR MOSFET DR. PHAM NGUYEN THANH LOAN. Hà Nội, 9/24/2012

CHAPTER 3: TRANSISTOR MOSFET DR. PHAM NGUYEN THANH LOAN. Hà Nội, 9/24/2012 1 CHAPTER 3: TRANSISTOR MOSFET DR. PHAM NGUYEN THANH LOAN Hà Nội, 9/24/2012 Chapter 3: MOSFET 2 Introduction Classifications JFET D-FET (Depletion MOS) MOSFET (Enhancement E-FET) DC biasing Small signal

More information

Section 1: Common Emitter CE Amplifier Design

Section 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 information

Application Report. Mixed Signal Products SLOA021

Application Report. Mixed Signal Products SLOA021 Application Report May 1999 Mixed Signal Products SLOA021 IMPORTANT NOTICE Texas Instruments and its subsidiaries (TI) reserve the right to make changes to their products or to discontinue any product

More information

Problem Set 4 Solutions

Problem Set 4 Solutions University of California, Berkeley Spring 212 EE 42/1 Prof. A. Niknejad Problem Set 4 Solutions Please note that these are merely suggested solutions. Many of these problems can be approached in different

More information

ECE-343 Test 1: Feb 10, :00-8:00pm, Closed Book. Name : SOLUTION

ECE-343 Test 1: Feb 10, :00-8:00pm, Closed Book. Name : SOLUTION ECE-343 Test : Feb 0, 00 6:00-8:00pm, Closed Book Name : SOLUTION C Depl = C J0 + V R /V o ) m C Diff = τ F g m ω T = g m C µ + C π ω T = g m I / D C GD + C or V OV GS b = τ i τ i = R i C i ω H b Z = Z

More information

Microelectronic Circuit Design 4th Edition Errata - Updated 4/4/14

Microelectronic Circuit Design 4th Edition Errata - Updated 4/4/14 Chapter Text # Inside back cover: Triode region equation should not be squared! i D = K n v GS "V TN " v & DS % ( v DS $ 2 ' Page 49, first exercise, second answer: -1.35 x 10 6 cm/s Page 58, last exercise,

More information

UNIT 4 DC EQUIVALENT CIRCUIT AND NETWORK THEOREMS

UNIT 4 DC EQUIVALENT CIRCUIT AND NETWORK THEOREMS UNIT 4 DC EQUIVALENT CIRCUIT AND NETWORK THEOREMS 1.0 Kirchoff s Law Kirchoff s Current Law (KCL) states at any junction in an electric circuit the total current flowing towards that junction is equal

More information

Switched-Capacitor Circuits David Johns and Ken Martin University of Toronto

Switched-Capacitor Circuits David Johns and Ken Martin University of Toronto Switched-Capacitor Circuits David Johns and Ken Martin University of Toronto (johns@eecg.toronto.edu) (martin@eecg.toronto.edu) University of Toronto 1 of 60 Basic Building Blocks Opamps Ideal opamps usually

More information

Biasing the CE Amplifier

Biasing the CE Amplifier Biasing the CE Amplifier Graphical approach: plot I C as a function of the DC base-emitter voltage (note: normally plot vs. base current, so we must return to Ebers-Moll): I C I S e V BE V th I S e V th

More information

Chapter 2. - DC Biasing - BJTs

Chapter 2. - DC Biasing - BJTs Chapter 2. - DC Biasing - BJTs Objectives To Understand : Concept of Operating point and stability Analyzing Various biasing circuits and their comparison with respect to stability BJT A Review Invented

More information

Lecture 13 MOSFET as an amplifier with an introduction to MOSFET small-signal model and small-signal schematics. Lena Peterson

Lecture 13 MOSFET as an amplifier with an introduction to MOSFET small-signal model and small-signal schematics. Lena Peterson Lecture 13 MOSFET as an amplifier with an introduction to MOSFET small-signal model and small-signal schematics Lena Peterson 2015-10-13 Outline (1) Why is the CMOS inverter gain not infinite? Large-signal

More information

Electrical System Elements

Electrical System Elements Electrical System Elements Application areas include: Electromechanical (motor) Electro-optical (phototransistor) Electrothermal Electro-mechano-acoustic (loudspeaker, microphone) Measurement Systems and

More information

Laboratory III: Operational Amplifiers

Laboratory III: Operational Amplifiers Physics 33, Fall 2008 Lab III - Handout Laboratory III: Operational Amplifiers Introduction Operational amplifiers are one of the most useful building blocks of analog electronics. Ideally, an op amp would

More information

Experimental verification of the Chua s circuit designed with UGCs

Experimental verification of the Chua s circuit designed with UGCs Experimental verification of the Chua s circuit designed with UGCs C. Sánchez-López a), A. Castro-Hernández, and A. Pérez-Trejo Autonomous University of Tlaxcala Calzada Apizaquito S/N, Apizaco, Tlaxcala,

More information

Input Stage. V IC(max) V BE1. V CE 5(sat ) V IC(min) = V CC +V BE 3 = V EE. + V CE1(sat )

Input Stage. V IC(max) V BE1. V CE 5(sat ) V IC(min) = V CC +V BE 3 = V EE. + V CE1(sat ) BJT OPAMPs Input Stage The input stage is similar to MOS design. Take a pnp input stage (Q1- Q2) with npn current mirror load (Q3- Q4) and a pnp tail current source (Q5). Then, V IC(max) = V CC V BE1 V

More information

6.301 Solid-State Circuits Recitation 14: Op-Amps and Assorted Other Topics Prof. Joel L. Dawson

6.301 Solid-State Circuits Recitation 14: Op-Amps and Assorted Other Topics Prof. Joel L. Dawson First, let s take a moment to further explore device matching for current mirrors: I R I 0 Q 1 Q 2 and ask what happens when Q 1 and Q 2 operate at different temperatures. It turns out that grinding through

More information

Design Engineering MEng EXAMINATIONS 2016

Design Engineering MEng EXAMINATIONS 2016 IMPERIAL COLLEGE LONDON Design Engineering MEng EXAMINATIONS 2016 For Internal Students of the Imperial College of Science, Technology and Medicine This paper is also taken for the relevant examination

More information

EE 321 Analog Electronics, Fall 2013 Homework #8 solution

EE 321 Analog Electronics, Fall 2013 Homework #8 solution EE 321 Analog Electronics, Fall 2013 Homework #8 solution 5.110. The following table summarizes some of the basic attributes of a number of BJTs of different types, operating as amplifiers under various

More information

Designing Information Devices and Systems I Spring 2018 Lecture Notes Note 20

Designing Information Devices and Systems I Spring 2018 Lecture Notes Note 20 EECS 16A Designing Information Devices and Systems I Spring 2018 Lecture Notes Note 20 Design Example Continued Continuing our analysis for countdown timer circuit. We know for a capacitor C: I = C dv

More information

EE-202 Exam III April 6, 2017

EE-202 Exam III April 6, 2017 EE-202 Exam III April 6, 207 Name: (Please print clearly.) Student ID: CIRCLE YOUR DIVISION DeCarlo--202 DeCarlo--2022 7:30 MWF :30 T-TH INSTRUCTIONS There are 3 multiple choice worth 5 points each and

More information

Refinements to Incremental Transistor Model

Refinements to Incremental Transistor Model Refinements to Incremental Transistor Model This section presents modifications to the incremental models that account for non-ideal transistor behavior Incremental output port resistance Incremental changes

More information

E2.2 Analogue Electronics

E2.2 Analogue Electronics E2.2 Analogue Electronics Instructor : Christos Papavassiliou Office, email : EE 915, c.papavas@imperial.ac.uk Lectures : Monday 2pm, room 408 (weeks 2-11) Thursday 3pm, room 509 (weeks 4-11) Problem,

More information

VI. Transistor amplifiers: Biasing and Small Signal Model

VI. Transistor amplifiers: Biasing and Small Signal Model VI. Transistor amplifiers: iasing and Small Signal Model 6.1 Introduction Transistor amplifiers utilizing JT or FET are similar in design and analysis. Accordingly we will discuss JT amplifiers thoroughly.

More information

The Common-Emitter Amplifier

The Common-Emitter Amplifier c Copyright 2009. W. Marshall Leach, Jr., Professor, Georgia Institute of Technology, School of Electrical and Computer Engineering. The Common-Emitter Amplifier Basic Circuit Fig. shows the circuit diagram

More information

EECE 2150 Circuits and Signals, Biomedical Applications Final Exam Section 3

EECE 2150 Circuits and Signals, Biomedical Applications Final Exam Section 3 EECE 2150 Circuits and Signals, Biomedical Applications Final Exam Section 3 Instructions: Closed book, closed notes; Computers and cell phones are not allowed You may use the equation sheet provided but

More information

figure shows a pnp transistor biased to operate in the active mode

figure shows a pnp transistor biased to operate in the active mode Lecture 10b EE-215 Electronic Devices and Circuits Asst Prof Muhammad Anis Chaudhary BJT: Device Structure and Physical Operation The pnp Transistor figure shows a pnp transistor biased to operate in the

More information

Chapter 5 Objectives

Chapter 5 Objectives Chapter 5 Engr228 Circuit Analysis Dr Curtis Nelson Chapter 5 Objectives State and apply the property of linearity State and apply the property of superposition Investigate source transformations Define

More information

ECE 145A/218A Power Amplifier Design Lectures. Power Amplifier Design 1

ECE 145A/218A Power Amplifier Design Lectures. Power Amplifier Design 1 Power Amplifiers; Part 1 Class A Device Limitations Large signal output match Define efficiency, power-added efficiency Class A operating conditions Thermal resistance We have studied the design of small-signal

More information

SGM nA, Single Rail-to-Rail I/O Operational Amplifier

SGM nA, Single Rail-to-Rail I/O Operational Amplifier GENERAL DESCRIPTION The SGM8041 is guaranteed to operate with a single supply voltage as low as 1.4V, while drawing less than 710nA (TYP) of quiescent current. This device is also designed to support rail-to-rail

More information

ECE137B Final Exam. There are 5 problems on this exam and you have 3 hours There are pages 1-19 in the exam: please make sure all are there.

ECE137B Final Exam. There are 5 problems on this exam and you have 3 hours There are pages 1-19 in the exam: please make sure all are there. ECE37B Final Exam There are 5 problems on this exam and you have 3 hours There are pages -9 in the exam: please make sure all are there. Do not open this exam until told to do so Show all work: Credit

More information

Common Drain Stage (Source Follower) Claudio Talarico, Gonzaga University

Common Drain Stage (Source Follower) Claudio Talarico, Gonzaga University Common Drain Stage (Source Follower) Claudio Talarico, Gonzaga University Common Drain Stage v gs v i - v o V DD v bs - v o R S Vv IN i v i G C gd C+C gd gb B&D v s vv OUT o + V S I B R L C L v gs - C

More information

Chapter 21 Electric Current and Direct- Current Circuits

Chapter 21 Electric Current and Direct- Current Circuits Chapter 21 Electric Current and Direct- Current Circuits 1 Overview of Chapter 21 Electric Current and Resistance Energy and Power in Electric Circuits Resistors in Series and Parallel Kirchhoff s Rules

More information

DC Biasing. Dr. U. Sezen & Dr. D. Gökçen (Hacettepe Uni.) ELE230 Electronics I 15-Mar / 59

DC Biasing. Dr. U. Sezen & Dr. D. Gökçen (Hacettepe Uni.) ELE230 Electronics I 15-Mar / 59 Contents Three States of Operation BJT DC Analysis Fixed-Bias Circuit Emitter-Stabilized Bias Circuit Voltage Divider Bias Circuit DC Bias with Voltage Feedback Various Dierent Bias Circuits pnp Transistors

More information

Unit 2: Modeling in the Frequency Domain. Unit 2, Part 4: Modeling Electrical Systems. First Example: Via DE. Resistors, Inductors, and Capacitors

Unit 2: Modeling in the Frequency Domain. Unit 2, Part 4: Modeling Electrical Systems. First Example: Via DE. Resistors, Inductors, and Capacitors Unit 2: Modeling in the Frequency Domain Part 4: Modeling Electrical Systems Engineering 582: Control Systems I Faculty of Engineering & Applied Science Memorial University of Newfoundland January 20,

More information

EE-202 Exam III April 13, 2015

EE-202 Exam III April 13, 2015 EE-202 Exam III April 3, 205 Name: (Please print clearly.) Student ID: CIRCLE YOUR DIVISION DeCarlo-7:30-8:30 Furgason 3:30-4:30 DeCarlo-:30-2:30 202 2022 2023 INSTRUCTIONS There are 2 multiple choice

More information

Homework Assignment 11

Homework Assignment 11 Homework Assignment Question State and then explain in 2 3 sentences, the advantage of switched capacitor filters compared to continuous-time active filters. (3 points) Continuous time filters use resistors

More information

Active Circuits: Life gets interesting

Active Circuits: Life gets interesting Actie Circuits: Life gets interesting Actie cct elements operational amplifiers (P AMPS) and transistors Deices which can inject power into the cct External power supply normally comes from connection

More information

ECE1750, Spring Week 11 Power Electronics

ECE1750, Spring Week 11 Power Electronics ECE1750, Spring 2017 Week 11 Power Electronics Control 1 Power Electronic Circuits Control In most power electronic applications we need to control some variable, such as the put voltage of a dc-dc converter,

More information

ELEC 103. Objectives

ELEC 103. Objectives ELEC 103 Voltage, Current, and Resistance Objectives Define voltage and discuss its characteristics Define current and discuss its characteristics Define resistance and discuss its characteristics Identify

More information

Lecture 17 Date:

Lecture 17 Date: Lecture 17 Date: 27.10.2016 Feedback and Properties, Types of Feedback Amplifier Stability Gain and Phase Margin Modification Elements of Feedback System: (a) The feed forward amplifier [H(s)] ; (b) A

More information

Chapter 5. Department of Mechanical Engineering

Chapter 5. Department of Mechanical Engineering Source Transformation By KVL: V s =ir s + v By KCL: i s =i + v/r p is=v s /R s R s =R p V s /R s =i + v/r s i s =i + v/r p Two circuits have the same terminal voltage and current Source Transformation

More information

Feedback and Oscillator Circuits

Feedback and Oscillator Circuits and Oscillator Circuits The input signal, Vs, is applied to a mixer network Here it is combined with a feedback signal V f Difference (or sum) of signals, V i, is then the input voltage to the amplifier

More information

Chapter 6: Operational Amplifiers

Chapter 6: Operational Amplifiers Chapter 6: Operational Amplifiers Circuit symbol and nomenclature: An op amp is a circuit element that behaes as a VCVS: The controlling oltage is in = and the controlled oltage is such that 5 5 A where

More information

Stability and Frequency Compensation

Stability and Frequency Compensation 類比電路設計 (3349) - 2004 Stability and Frequency ompensation hing-yuan Yang National hung-hsing University Department of Electrical Engineering Overview Reading B Razavi hapter 0 Introduction In this lecture,

More information

EE 230 Lecture 20. Nonlinear Op Amp Applications. The Comparator Nonlinear Analysis Methods

EE 230 Lecture 20. Nonlinear Op Amp Applications. The Comparator Nonlinear Analysis Methods EE 230 Lecture 20 Nonlinear Op Amp Applications The Comparator Nonlinear Analysis Methods Quiz 14 What is the major purpose of compensation when designing an operatinal amplifier? And the number is? 1

More information

H(s) = 2(s+10)(s+100) (s+1)(s+1000)

H(s) = 2(s+10)(s+100) (s+1)(s+1000) Problem 1 Consider the following transfer function H(s) = 2(s10)(s100) (s1)(s1000) (a) Draw the asymptotic magnitude Bode plot for H(s). Solution: The transfer function is not in standard form to sketch

More information

1/13/12 V DS. I d V GS. C ox ( = f (V GS ,V DS ,V SB = I D. + i d + I ΔV + I ΔV BS V BS. 19 January 2012

1/13/12 V DS. I d V GS. C ox ( = f (V GS ,V DS ,V SB = I D. + i d + I ΔV + I ΔV BS V BS. 19 January 2012 /3/ 9 January 0 Study the linear model of MOS transistor around an operating point." MOS in saturation: V GS >V th and V S >V GS -V th " VGS vi - I d = I i d VS I d = µ n ( L V V γ Φ V Φ GS th0 F SB F

More information

SCHOOL OF COMPUTING, ENGINEERING AND MATHEMATICS SEMESTER 1 EXAMINATIONS 2012/2013 XE121. ENGINEERING CONCEPTS (Test)

SCHOOL OF COMPUTING, ENGINEERING AND MATHEMATICS SEMESTER 1 EXAMINATIONS 2012/2013 XE121. ENGINEERING CONCEPTS (Test) s SCHOOL OF COMPUTING, ENGINEERING AND MATHEMATICS SEMESTER EXAMINATIONS 202/203 XE2 ENGINEERING CONCEPTS (Test) Time allowed: TWO hours Answer: Attempt FOUR questions only, a maximum of TWO questions

More information

Advanced Current Mirrors and Opamps

Advanced Current Mirrors and Opamps Advanced Current Mirrors and Opamps David Johns and Ken Martin (johns@eecg.toronto.edu) (martin@eecg.toronto.edu) slide 1 of 26 Wide-Swing Current Mirrors I bias I V I in out out = I in V W L bias ------------

More information

Biquad Filter. by Kenneth A. Kuhn March 8, 2013

Biquad Filter. by Kenneth A. Kuhn March 8, 2013 by Kenneth A. Kuhn March 8, 201 The biquad filter implements both a numerator and denominator quadratic function in s thus its name. All filter outputs have identical second order denominator in s and

More information

Designing Information Devices and Systems II Spring 2016 Anant Sahai and Michel Maharbiz Midterm 2

Designing Information Devices and Systems II Spring 2016 Anant Sahai and Michel Maharbiz Midterm 2 EECS 16B Designing Information Devices and Systems II Spring 2016 Anant Sahai and Michel Maharbiz Midterm 2 Exam location: 145 Dwinelle (SIDs ending in 1 and 5) PRINT your student ID: PRINT AND SIGN your

More information

The current source. The Active Current Source

The current source. The Active Current Source V ref + - The current source Minimum noise euals: Thevenin Norton = V ref DC current through resistor gives an increase of /f noise (granular structure) Accuracy of source also determined by the accuracy

More information

Delta & Y Configurations, Principles of Superposition, Resistor Voltage Divider Designs

Delta & Y Configurations, Principles of Superposition, Resistor Voltage Divider Designs BME/ISE 3511 Bioelectronics - Test Three Course Notes Fall 2016 Delta & Y Configurations, Principles of Superposition, esistor Voltage Divider Designs Use following techniques to solve for current through

More information

Ver 3537 E1.1 Analysis of Circuits (2014) E1.1 Circuit Analysis. Problem Sheet 1 (Lectures 1 & 2)

Ver 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 information

ENGG 1203 Tutorial. Op Amps 10 Oct Learning Objectives. News. Ack.: MIT OCW Analyze circuits with ideal operational amplifiers

ENGG 1203 Tutorial. Op Amps 10 Oct Learning Objectives. News. Ack.: MIT OCW Analyze circuits with ideal operational amplifiers ENGG 1203 Tutorial Op Amps 10 Oct Learning Objectives Analyze circuits with ideal operational amplifiers News Mid term Revision tutorial Ack.: MIT OCW 6.01 1 Q1 This circuit is controlled by the charge

More information

DC STEADY STATE CIRCUIT ANALYSIS

DC STEADY STATE CIRCUIT ANALYSIS DC STEADY STATE CIRCUIT ANALYSIS 1. Introduction The basic quantities in electric circuits are current, voltage and resistance. They are related with Ohm s law. For a passive branch the current is: I=

More information

Four Voltage References, an ADC and MSP430

Four Voltage References, an ADC and MSP430 Four Voltage References, an ADC and MSP430 Tadija Janjic HPL Tucson Michael Ashton DAP Motivation u Total Solution Concept u Application section of datasheets u New REF products from TI u Greed Product

More information

MAS.836 PROBLEM SET THREE

MAS.836 PROBLEM SET THREE MAS.836 PROBLEM SET THREE FSR, Strain Gauge, and Piezo Circuits: The purpose of this problem set is to familiarize yourself with the most common forms of pressure and force measurement. The circuits you

More information

Nonlinear Op-amp Circuits

Nonlinear Op-amp Circuits deba21pratim@gmail.com Electronic Systems Group Department of Electrical Engineering IIT Bombay May 3, 2013 Overview of op-amp operating regions Linear Region Occurs when the op-amp output is stable i.e.

More information

Prof. D. Manstretta LEZIONI DI FILTRI ANALOGICI. Danilo Manstretta AA

Prof. D. Manstretta LEZIONI DI FILTRI ANALOGICI. Danilo Manstretta AA AA-3 LEZIONI DI FILTI ANALOGICI Danilo Manstretta AA -3 AA-3 High Order OA-C Filters H() s a s... a s a s a n s b s b s b s b n n n n... The goal of this lecture is to learn how to design high order OA-C

More information

Estimation of Circuit Component Values in Buck Converter using Efficiency Curve

Estimation of Circuit Component Values in Buck Converter using Efficiency Curve ISPACS2017 Paper 2017 ID 21 Nov. 9 NQ-L5 Paper ID 21, Estimation of Circuit Component Values in Buck Converter using Efficiency Curve S. Sakurai, N. Tsukiji, Y. Kobori, H. Kobayashi Gunma University 1/36

More information

FEATURES OF 74F06A, 74F07A

FEATURES OF 74F06A, 74F07A 7F0, 7F0A, 7F07, 7F07A FEATURES OF 7F0, 7F07 Open Collector output drive ma High speed V output termination voltage Symmetrical propagation delays FEATURES OF 7F0A, 7F07A Open Collector output drive ma

More information

The Wien Bridge Oscillator Family

The Wien Bridge Oscillator Family Downloaded from orbit.dtu.dk on: Dec 29, 207 The Wien Bridge Oscillator Family Lindberg, Erik Published in: Proceedings of the ICSES-06 Publication date: 2006 Link back to DTU Orbit Citation APA): Lindberg,

More information

DAC10* PRODUCT PAGE QUICK LINKS Last Content Update: 02/23/2017

DAC10* PRODUCT PAGE QUICK LINKS Last Content Update: 02/23/2017 * PRODUCT PAGE QUICK LINKS Last Content Update: 0/3/07 COMPARABLE PARTS View a parametric search of comparable parts. DOCUMENTATION Data Sheet : 0-Bit Current-Out DAC Data Sheet REFERENCE MATERIALS Solutions

More information

Experiment #6. Thevenin Equivalent Circuits and Power Transfer

Experiment #6. Thevenin Equivalent Circuits and Power Transfer Experiment #6 Thevenin Equivalent Circuits and Power Transfer Objective: In this lab you will confirm the equivalence between a complicated resistor circuit and its Thevenin equivalent. You will also learn

More information

Chapter 13 Small-Signal Modeling and Linear Amplification

Chapter 13 Small-Signal Modeling and Linear Amplification Chapter 13 Small-Signal Modeling and Linear Amplification Microelectronic Circuit Design Richard C. Jaeger Travis N. Blalock 1/4/12 Chap 13-1 Chapter Goals Understanding of concepts related to: Transistors

More information

Prepared by: B.ELANGOVAN. M.Sc., M.Ed., M.Phil.,

Prepared by: B.ELANGOVAN. M.Sc., M.Ed., M.Phil., Book back One Mark questions And answers Prepared by: B.ELANGOVAN. M.Sc., M.Ed., M.Phil., (Tamil Nadu Dr. Radhakrishnan Best Teacher Award - 2011 recipient) Post Graduate Teacher in Physics ( Date of Appointment

More information

AN6783S. IC for long interval timer. ICs for Timer. Overview. Features. Applications. Block Diagram

AN6783S. IC for long interval timer. ICs for Timer. Overview. Features. Applications. Block Diagram IC for long interval timer Overview The is an IC designed for a long interval timer. It is oscillated by using the external resistor and capacitor, and the oscillation frequency divided by a - stage F.F.

More information

Mod. Sim. Dyn. Sys. Amplifiers page 1

Mod. Sim. Dyn. Sys. Amplifiers page 1 AMPLIFIERS A circuit containing only capacitors, amplifiers (transistors) and resistors may resonate. A circuit containing only capacitors and resistors may not. Why does amplification permit resonance

More information

CIRCUITS AND ELECTRONICS. Dependent Sources and Amplifiers

CIRCUITS AND ELECTRONICS. Dependent Sources and Amplifiers 6.00 CIRCUITS AN ELECTRONICS ependent Sources and Amplifiers Review Nonlinear circuits can use the node method Small signal trick resulted in linear response Today ependent sources Amplifiers Reading:

More information

Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science Electronic Circuits Fall 2000.

Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science Electronic Circuits Fall 2000. Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.002 Electronic Circuits Fall 2000 Final Exam Please write your name in the space provided below, and circle

More information

Deliyannis, Theodore L. et al "Active Elements" Continuous-Time Active Filter Design Boca Raton: CRC Press LLC,1999

Deliyannis, Theodore L. et al Active Elements Continuous-Time Active Filter Design Boca Raton: CRC Press LLC,1999 Deliyannis, Theodore L. et al "Active Elements" Continuous-Time Active Filter Design Boca Raton: CRC Press LLC,999 Chapter 3 Active Elements 3. Introduction The ideal active elements are devices having

More information

EE2351 POWER SYSTEM ANALYSIS UNIT I: INTRODUCTION

EE2351 POWER SYSTEM ANALYSIS UNIT I: INTRODUCTION EE2351 POWER SYSTEM ANALYSIS UNIT I: INTRODUCTION PART: A 1. Define per unit value of an electrical quantity. Write equation for base impedance with respect to 3-phase system. 2. What is bus admittance

More information

CHAPTER 14 SIGNAL GENERATORS AND WAVEFORM SHAPING CIRCUITS

CHAPTER 14 SIGNAL GENERATORS AND WAVEFORM SHAPING CIRCUITS CHAPTER 4 SIGNA GENERATORS AND WAEFORM SHAPING CIRCUITS Chapter Outline 4. Basic Principles of Sinusoidal Oscillators 4. Op Amp RC Oscillators 4.3 C and Crystal Oscillators 4.4 Bistable Multivibrators

More information

IDEAL OP AMP ANALYSIS

IDEAL OP AMP ANALYSIS EXECSE No.1 Assuming ideal op amps, determine for each and every circuit shown below. A) 1,8k B) V 30k 1k 0,1V k 1k C) D) k K 0,5V 1V 3k 1,5V K k 4k E) F) 15V V 14k 15k 5V 3.9K 1,5k 5,1k 8V 3k 16k 15k

More information