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Tiêu đề Electrical Engineering: Know It All
Tác giả Clive Maxfield, Alan Bensky, John Bird, W. Bolton, Izzat Darwazeh, Walt Kester, M.A. Laughton, Andrew Leven, Luis Moura, Ron Schmitt, Keith Sueker, Mike Tooley, Tim Williams
Trường học Elsevier Education
Chuyên ngành Electrical Engineering
Thể loại sách giáo trình
Năm xuất bản 2008
Thành phố Burlington, MA
Định dạng
Số trang 1.126
Dung lượng 6,88 MB

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Electrical engineering know it all

Trang 3

PIC Microcontrollers: Know It All

Lucio Di Jasio, Tim Wilmshurst, Dogan Ibrahim, John Morton, Martin Bates, Jack Smith, D.W Smith, and Chuck Hellebuyck

ISBN: 978-0-7506-8615-0

Embedded Software: Know It All

Jean Labrosse, Jack Ganssle, Tammy Noergaard, Robert Oshana, Colin Walls, Keith Curtis, Jason Andrews, David J Katz, Rick Gentile, Kamal Hyder, and Bob Perrin

ISBN: 978-0-7506-8583-2

Embedded Hardware: Know It All

Jack Ganssle, Tammy Noergaard, Fred Eady, Lewin Edwards, David J Katz, Rick Gentile, Ken Arnold, Kamal Hyder, and Bob Perrin

ISBN: 978-0-7506-8584-9

Wireless Networking: Know It All

Praphul Chandra, Daniel M Dobkin, Alan Bensky, Ron Olexa, David Lide, and Farid Dowla

ISBN: 978-0-7506-8582-5

RF & Wireless Technologies: Know It All

Bruce Fette, Roberto Aiello, Praphul Chandra, Daniel Dobkin, Alan Bensky, Douglas Miron, David Lide, Farid Dowla, and Ron Olexa

ISBN: 978-0-7506-8581-8

Electrical Engineering: Know It All

Clive Maxfi eld, Alan Bensky, John Bird, W Bolton, Izzat Darwazeh, Walt Kester, M.A Laughton, Andrew Leven, Luis Moura, Ron Schmitt, Keith Sueker, Mike Tooley, DF Warne, Tim Williams

ISBN: 978-1-85617-528-9

Audio Engineering: Know It All

Douglas Self, Richard Brice, Don Davis, Ben Duncan, John Linsely Hood, Morgan Jones, Eugene Patronis, Ian Sinclair, Andrew Singmin, John Watkinson

ISBN: 978-1-85617-526-5

Circuit Design: Know It All

Darren Ashby, Bonnie Baker, Stuart Ball, John Crowe, Barrie Hayes-Gill, Ian Grout, Ian Hickman, Walt Kester, Ron Mancini, Robert A Pease, Mike Tooley, Tim Williams, Peter Wilson, Bob Zeidman

ISBN: 978-1-85617-527-2

Test and Measurement: Know It All

Jon Wilson, Stuart Ball, GMS de Silva, Tony Fischer-Cripps, Dogan Ibrahim, Kevin James, Walt Kester,

M A Laughton, Chris Nadovich, Alex Porter, Edward Ramsden, Stephen Scheiber, Mike Tooley, D F Warne, Tim Williams

ISBN: 978-1-85617-530-2

Mobile Wireless Security: Know It All

Praphul Chandra, Alan Bensky, Tony Bradley, Chris Hurley, Steve Rackley, John Rittinghouse, James Ransome, Timothy Stapko, George Stefanek, Frank Thornton, Chris Lanthem, John Wilson

ISBN: 978-1-85617-529-6

For more information on these and other Newnes titles visit: www.newnespress.com

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Clive Maxfi eld John Bird

M A.Laughton

W Bolton Andrew Leven Ron Schmitt Keith Sueker Tim Williams Mike Tooley Luis Moura Izzat Darwazeh Walt Kester Alan Bensky

DF Warne

AMSTERDAM • BOSTON • HEIDELBERG • LONDON

NEW YORK • OXFORD • PARIS • SAN DIEGO

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Linacre House, Jordan Hill, Oxford OX2 8DP, UK

Copyright © 2008, Elsevier Inc All rights reserved

No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher

Permissions may be sought directly from Elsevier’s Science & Technology Rights

Department in Oxford, UK: phone: (  44) 1865 843830, fax: (  44) 1865 853333,

E-mail: permissions@elsevier.com You may also complete your request online

via the Elsevier homepage ( http://elsevier.com ), by selecting “ Support & Contact ”

then “ Copyright and Permission ” and then “ Obtaining Permissions ”

Library of Congress Cataloging-in-Publication Data

Application submitted

British Library Cataloguing-in-Publication Data

A catalogue record for this book is available from the British Library

ISBN: 978-1-85617-528-9

Typeset by Charon Tec Ltd., A Macmillan Company (www.macmillansolutions.com) Printed in the United States of America

08 09 10 10 9 8 7 6 5 4 3 2 1

For information on all Newnes publications

visit our Web site at www.elsevierdirect.com

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About the Authors xv

Chapter 1: An Introduction to Electric Circuits 1

1.1 SI Units 1

1.2 Charge 2

1.3 Force 2

1.4 Work 3

1.5 Power 4

1.6 Electrical Potential and e.m.f .5

1.7 Resistance and Conductance 5

1.8 Electrical Power and Energy 6

1.9 Summary of Terms, Units and Their Symbols 7

1.10 Standard Symbols for Electrical Components 8

1.11 Electric Current and Quantity of Electricity 8

1.12 Potential Difference and Resistance 10

1.13 Basic Electrical Measuring Instruments 11

1.14 Linear and Nonlinear Devices 11

1.15 Ohm’s Law 12

1.16 Multiples and Submultiples 13

1.17 Conductors and Insulators 16

1.18 Electrical Power and Energy 16

1.19 Main Effects of Electric Current 20

Chapter 2: Resistance and Resistivity 21

2.1 Resistance and Resistivity 21

2.2 Temperature Coeffi cient of Resistance 25

Chapter 3: Series and Parallel Networks 31

3.1 Series Circuits 31

3.2 Potential Divider 34

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3.3 Parallel Networks 37

3.4 Current Division 43

3.5 Relative and Absolute Voltages 48

Chapter 4: Capacitors and Inductors 53

4.1 Introduction to Capacitors 53

4.2 Electrostatic Field 53

4.3 Electric Field Strength 55

4.4 Capacitance 56

4.5 Capacitors 56

4.6 Electric Flux Density 58

4.7 Permittivity 59

4.8 The Parallel Plate Capacitor 61

4.9 Capacitors Connected in Parallel and Series 64

4.10 Dielectric Strength 70

4.11 Energy Stored 71

4.12 Practical Types of Capacitors 72

4.13 Inductance 76

4.14 Inductors 78

4.15 Energy Stored 80

Chapter 5: DC Circuit Theory 81

5.1 Introduction 81

5.2 Kirchhoff’s Laws 81

5.3 The Superposition Theorem 89

5.4 General DC Circuit Theory 95

5.5 Thévenin’s Theorem 99

5.6 Constant-Current Source 106

5.7 Norton’s Theorem 107

5.8 Thévenin and Norton Equivalent Networks 111

5.9 Maximum Power Transfer Theorem 117

Chapter 6: Alternating Voltages and Currents 123

6.1 The AC Generator 123

6.2 Waveforms 124

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6.3 AC Values 126

6.4 The Equation of a Sinusoidal Waveform 133

6.5 Combination of Waveforms 139

6.6 Rectifi cation 146

Chapter 7: Complex Numbers 149

7.1 Introduction 149

7.2 Operations involving Cartesian Complex Numbers 152

7.3 Complex Equations 155

7.4 The polar Form of a Complex Number 157

7.5 Applying Complex Numbers to Series AC Circuits 158

7.6 Applying Complex Numbers to Parallel AC Circuits 171

Chapter 8: Transients and Laplace Transforms 185

8.1 Introduction 185

8.2 Response of R-C Series Circuit to a Step Input 185

8.3 Response of R-L Series Circuit to a Step Input 192

8.4 L-R-C Series Circuit Response 199

8.5 Introduction to Laplace Transforms 205

8.6 Inverse Laplace Transforms and the Solution of Differential Equations 215

Chapter 9: Frequency Domain Circuit Analysis 229

9.1 Introduction 229

9.2 Sinusoidal AC Electrical Analysis 229

9.3 Generalized Frequency Domain Analysis 257

References 315

Chapter 10: Digital Electronics 317

10.1 Semiconductors 317

10.2 Semiconductor Diodes 318

10.3 Bipolar Junction Transistors 319

10.4 Metal-oxide Semiconductor Field-effect Transistors 321

10.5 The transistor as a Switch 322

10.6 Gallium Arsenide Semiconductors 324

10.7 Light-emitting Diodes 324

10.8 BUF and NOT Functions 327

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10.9 AND, OR, and XOR Functions 329

10.10 NAND, NOR, and XNOR Functions 329

10.11 Not a Lot 331

10.12 Functions Versus Gates 332

10.13 NOT and BUF Gates 333

10.14 NAND and AND Gates 335

10.15 NOR and OR Gates 336

10.16 XNOR and XOR Gates 337

10.17 Pass-Transistor Logic 339

10.18 Combining a Single Variable With Logic 0 or Logic 1 342

10.19 The Idempotent Rules 342

10.20 The Complementary Rules 343

10.21 The Involution Rules 344

10.22 The Commutative Rules 344

10.23 The Associative Rules 344

10.24 Precedence of Operators 345

10.25 The First Distributive Rule 346

10.26 The Second Distributive Rule 346

10.27 The Simplifi cation Rules 348

10.28 DeMorgan Transformations 349

10.29 Minterms and Maxterms 351

10.30 Sum-of-Products and Product-of-sums 351

10.31 Canonical Forms 352

10.32 Karnaugh Maps 353

10.33 Minimization Using Karnaugh Maps 354

10.34 Grouping Minterms 355

10.35 Incompletely Specifi ed Functions 356

10.36 Populating Maps Using 0s versus 1s 359

10.37 Scalar Versus Vector Notation 360

10.38 Equality Comparators 361

10.39 Multiplexers 363

10.40 Decoders 364

10.41 Tri-State Functions 365

10.42 Combinational Versus Sequential Functions 367

10.43 RS Latches 367

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10.44 D-Type Latches 373

10.45 D-Type Flip-Flops 374

10.46 JK and T Flip-Flops 377

10.47 Shift Registers 378

10.48 Counters 381

10.49 Setup and Hold Times 383

10.50 Brick by Brick 384

10.51 State Diagrams 386

10.52 State Tables 387

10.53 State Machines 388

10.54 State Assignment 389

10.55 Don’t Care States, Unused States, and Latch-Up Conditions 392

Chapter 11: Analog Electronics 395

11.1 Operational Amplifi ers Defi ned 395

11.2 Symbols and Connections 395

11.3 Operational Amplifi er Parameters 397

11.4 Operational Amplifi er Characteristics 402

11.5 Operational Amplifi er Applications 403

11.6 Gain and Bandwidth 405

11.7 Inverting Amplifi er With Feedback 406

11.8 Operational Amplifi er Confi gurations 408

11.9 Operational Amplifi er Circuits 412

11.10 The Ideal Op-Amp 418

11.11 The Practical Op-Amp 420

11.12 Comparators 450

11.13 Voltage References 459

Chapter 12: Circuit Simulation 465

12.1 Types of Analysis 466

12.2 Netlists and Component Models 476

12.3 Logic Simulation 479

Chapter 13: Interfacing 481

13.1 Mixing Analog and Digital 481

13.2 Generating Digital Levels From Analog Inputs 484

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13.3 Classic Data Interface Standards 487

13.4 High Performance Data Interface Standards 493

Chapter 14: Microcontrollers and Microprocessors 499

14.1 Microprocessor Systems 499

14.2 Single-Chip Microcomputers 499

14.3 Microcontrollers 500

14.4 PIC Microcontrollers 500

14.5 Programmed Logic Devices 500

14.6 Programmable Logic Controllers 501

14.7 Microprocessor Systems 501

14.8 Data Representation 503

14.9 Data Types 505

14.10 Data Storage 505

14.11 The Microprocessor 506

14.12 Microprocessor Operation 512

14.13 A Microcontroller System 518

14.14 Symbols Introduced in this Chapter 523

Chapter 15: Power Electronics 525

15.1 Switchgear 525

15.2 Surge Suppression 528

15.3 Conductors 530

15.4 Capacitors 533

15.5 Resistors 536

15.6 Fuses 538

15.7 Supply Voltages 539

15.8 Enclosures 539

15.9 Hipot, Corona, and BIL 540

15.10 Spacings 541

15.11 Metal Oxide Varistors 542

15.12 Protective Relays 543

15.13 Symmetrical Components 544

15.14 Per Unit Constants 546

15.15 Circuit Simulation 547

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15.16 Simulation Software 551

15.17 Feedback Control Systems 552

15.18 Power Supplies 559

Chapter 16: Signals and Signal Processing 609

16.1 Origins of Real-World Signals and their Units of Measurement 609

16.2 Reasons for Processing Real-World Signals 610

16.3 Generation of Real-World Signals 612

16.4 Methods and Technologies Available for Processing Real-World Signals 612

16.5 Analog Versus Digital Signal Processing 613

16.6 A Practical Example 614

References 617

Chapter 17: Filter Design 619

17.1 Introduction 619

17.2 Passive Filters 621

17.3 Active Filters 622

17.4 First-Order Filters 628

17.5 Design of First-Order Filters 630

17.6 Second-Order Filters 632

17.7 Using the Transfer Function 636

17.8 Using Normalized Tables 641

17.9 Using Identical Components 641

17.10 Second-Order High-Pass Filters 642

17.11 Bandpass Filters 650

17.12 Switched Capacitor Filter 654

17.13 Monolithic Switched Capacitor Filter 657

17.14 The Notch Filter 659

17.15 Choosing Components for Filters 663

17.16 Testing Filter Response 665

17.17 Fast Fourier Transforms 666

17.18 Digital Filters 694

References 732

Chapter 18: Control and Instrumentation Systems 735

18.1 Introduction 735

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18.2 Systems 737

18.3 Control Systems Models 741

18.4 Measurement Elements 747

18.5 Signal Processing 761

18.6 Correction Elements 769

18.7 Control Systems 780

18.8 System Models 791

18.9 Gain 793

18.10 Dynamic Systems 797

18.11 Differential Equations 812

18.12 Transfer Function 816

18.13 System Transfer Functions 822

18.14 Sensitivity 826

18.15 Block Manipulation 830

18.16 Multiple Inputs 835

Chapter 19: Communications Systems 837

19.1 Introduction 837

19.2 Analog Modulation Techniques 839

19.3 The Balanced Modulator/Demodulator 848

19.4 Frequency Modulation and Demodulation 850

19.5 FM Modulators 860

19.6 FM Demodulators 862

19.7 Digital Modulation Techniques 865

19.8 Information Theory 873

19.9 Applications and Technologies 899

References 951

Chapter 20: Principles of Electromagnetics 953

20.1 The Need for Electromagnetics 953

20.2 The Electromagnetic Spectrum 955

20.3 Electrical Length 960

20.4 The Finite Speed of Light 960

20.5 Electronics 961

20.6 Analog and Digital Signals 964

20.7 RF Techniques 964

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20.8 Microwave Techniques 967

20.9 Infrared and the Electronic Speed Limit 968

20.10 Visible Light and Beyond 969

20.11 Lasers and Photonics 971

20.12 Summary of General Principles 972

20.13 The Electric Force Field 973

20.14 Other Types of Fields 975

20.15 Voltage and Potential Energy 976

20.16 Charges in Metals 978

20.17 The Defi nition of Resistance 980

20.18 Electrons and Holes 980

20.19 Electrostatic Induction and Capacitance 982

20.20 Insulators (dielectrics) 986

20.21 Static Electricity and Lightning 988

20.22 The Battery Revisited 992

20.23 Electric Field Examples 993

20.24 Conductivity and Permittivity of Common Materials 994

References 995

Chapter 21: Magnetic Fields 1003

21.1 Moving Charges: Source of All Magnetic Fields 1003

21.2 Magnetic Dipoles 1005

21.3 Effects of the Magnetic Field 1008

21.4 The Vector Magnetic Potential and Potential Momentum 1018

21.5 Magnetic Materials 1019

21.6 Magnetism and Quantum Physics 1022

References 1024

Chapter 22: Electromagnetic Transients and EMI 1027

22.1 Line Disturbances 1027

22.2 Circuit Transients 1028

22.3 Electromagnetic Interference 1030

Chapter 23: Traveling Wave Effects 1033

23.1 Basics 1033

23.2 Transient Effects 1035

23.3 Mitigating Measures 1038

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Chapter 24: Transformers 1039

24.1 Voltage and Turns Ratio 1040

Chapter 25: Electromagnetic Compatibility (EMC) 1047

25.1 Introduction 1047

25.2 Common Terms 1048

25.3 The EMC Model 1049

25.4 EMC Requirements 1052

25.5 Product design 1054

25.6 Device Selection 1056

25.7 Printed Circuit Boards 1056

25.8 Interfaces 1057

25.9 Power Supplies and Power-Line Filters 1058

25.10 Signal Line Filters 1059

25.11 Enclosure Design 1061

25.12 Interface Cable Connections 1063

25.13 Golden Rules for Effective Design for EMC 1065

25.14 System Design 1066

25.15 Buildings 1069

25.16 Conformity Assessment 1070

25.17 EMC Testing and Measurements 1072

25.18 Management Plans 1075

References 1076

Appendix A: General Reference 1077

A.1 Standard Electrical Quantities—Their Symbols and Units 1077

Appendix B: 1081

B.1 Differential Equations 1081

Index 1091

Note from the Publisher: The authors of this book are from around the world and as such symbols vary between US and UK styles

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Alan Bensky MScEE (Chapter 19) is an electronics engineering consultant with over

25 years of experience in analog and digital design, management, and marketing

Specializing in wireless circuits and systems, Bensky has carried out projects for

varied military and consumer applications He is the author of Short-range Wireless Communication, Second Edition , published by Elsevier, 2004, and has written several

articles in international and local publications He has taught courses and gives lectures

on radio engineering topics Bensky is a senior member of IEEE

John Bird BSc (Hons), CEng, CMath, CSci, FIET, MIEE, FIIE, FIMA, FCollT Royal

Naval School of Marine Engineering, HMS Sultan, Gosport; formerly University of Portsmouth and Highbury College, Portsmouth, U.K., (Chapters 1, 2, 3, 4, 5, 6, 7, 8,

Appendix A) is the author of Electrical Circuit Theory and Technology, and over 120

textbooks on engineering and mathematical subjects, is the former Head of Applied Electronics in the Faculty of Technology at Highbury College, Portsmouth, U.K

More recently, he has combined freelance lecturing at the University of Portsmouth, with technical writing and Chief Examiner responsibilities for City and Guilds

Telecommunication Principles and Mathematics, and examining for the International Baccalaureate Organisation

John Bird is currently a Senior Training Provider at the Royal Naval School of Marine Engineering in the Defence College of Marine and Air Engineering at H.M.S Sultan, Gosport, Hampshire, U.K The school, which serves the Royal Navy, is one of Europe’s largest engineering training establishments

Bill Bolton (Chapter 18, Appendix B.) is the author of Control Systems , and many

engineering textbooks, including the best-selling books Programmable Logic Controllers (Newnes) and Mechatronics (Pearson—Prentice-Hall), and has formerly been a senior

lecturer in a College of Technology, Head of Research, Development and Monitoring

at the Business and Technician Education Council, a member of the Nuffi eld Advanced Physics Project, and a consultant on a British Government Technician Education Project

in Brazil and on Unesco projects in Argentina and Thailand

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Izzat Darwazeh (Chapter 9) is the author of Introduction to Linear Circuit Analysis and

Modelling He holds the University of London Chair of Communications Engineering

in the Department of Electronic and Electrical at UCL He obtained his fi rst degree

in Electrical Engineering from the University of Jordan in 1984 and the MSc and

PhD degrees, from the University of Manchester Institute of Science and Technology (UMIST), in 1986 and 1991, respectively He worked as a research Fellow at the

University of Wales-Bangor—U.K from 1990 till 1993, researching very high speed optical systems and circuits He was a Senior Lecturer in Optoelectronic Circuits and Systems in the Department at Electrical Engineering and Electronics at UMIST He moved to UCL in October 2001 where he is currently the Head of Communications and Information System (CIS) group and the Director of UCL Telecommunications for Industry Programme He is a Fellow of the IET and a Senior Member of the IEEE His teaching covers aspects of wireless and optical fi bre communications,

telecommunication networks, electronic circuits and high speed integrated circuits

and MMICs He lectures widely in the U.K and overseas His research interests are mainly in the areas of wireless system design and implementation, high speed optical communication systems and networks, microwave circuits and MMICs for optical fi bre applications and in mobile and wireless communication circuits and systems He has authored/co-authored more than 120 research papers He has co-authored (with Luis Moura) a book on Linear Circuit Analysis and Modelling (Elsevier 2005) and is the co-editor of the IEE book on Analogue Optical Communications (IEE 1995) He

collaborates with various telecommunications and electronic industries in the U.K and overseas and has acted as a consultant to various academic, industrial, fi nancial and government organisations

Walt Kester (Chapters 16, 17) is the author of Mixed-Signal and DSP Design Techniques

He is a corporate staff applications engineer at Analog Devices For over 35 years at Analog Devices, he has designed, developed, and given applications support for high-speed ADCs, DACs, SHAs, op amps, and analog multiplexers Besides writing many papers and articles, he prepared and edited eleven major applications books which form the basis for the Analog Devices world-wide technical seminar series including the topics of

op amps, data conversion, power management, sensor signal conditioning, mixed-signal,

and practical analog design techniques He also is the editor of The Data Conversion Handbook , a 900  page comprehensive book on data conversion published in 2005 by Elsevier Walt has a BSEE from NC State University and MSEE from Duke University

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Michael Laughton BASc, (Toronto), PhD (London), DSc (Eng.) (London), FREng,

FIEE, CEng (Chapters 25) is the editor of Electrical Engineer’s Reference Book, 16 th Edition He is the Emeritus Professor of Electrical Engineering of the University of

London and former Dean of Engineering of the University and Pro-Principal of Queen Mary and Westfi eld College, and is currently the U.K representative on the Energy Committee of the European National Academies of Engineering, a member of energy and environment policy advisory groups of the Royal Academy of Engineering, the Royal Society and the Institution of Electrical Engineers as well as the Power Industry Division Board of the Institution of Mechanical Engineers He has acted as Specialist Adviser

to U.K Parliamentary Committees in both upper and lower Houses on alternative and renewable energy technologies and on energy effi ciency He was awarded The Institution

of Electrical Engineers Achievement Medal in 2002 for sustained contributions to

electrical power engineering

Andrew Leven (Chapter 17, 19) is the author of Telecommunications Circuits and

Technology He holds a diploma in Radio Technology, HNC, BSc (Hons) Electronics,

MSc Astronomy, C Eng M.I.E.E, Teaching Diploma, M.I.P., International Education and Training Consultant (Formerly Senior Lecturer in Telecommunications, Electronics and Fibre Optics at James Watt College of Higher Education, U.K.)

A Maddocks (Chapter 25) was a contributor to Electrical Engineer’s Reference Book,

16th Edition

Clive “ Max ” Maxfi eld (Chapter 10) is the author of Bebop to the Boolean Boogie He

is six feet tall, outrageously handsome, English and proud of it In addition to being a hero, trendsetter, and leader of fashion, he is widely regarded as an expert in all aspects of electronics and computing (at least by his mother)

After receiving his B.Sc in Control Engineering in 1980 from Sheffi eld Polytechnic (now Sheffi eld Hallam University), England, Max began his career as a designer of central processing units for mainframe computers During his career, he has designed everything from ASICs to PCBs and has meandered his way through most aspects of Electronics Design Automation (EDA) To cut a long story short, Max now fi nds himself President

of TechBites Interactive (www.techbites.com) A marketing consultancy, TechBites specializes in communicating the value of its clients ’ technical products and services

to non-technical audiences through a variety of media, including websites, advertising, technical documents, brochures, collaterals, books, and multimedia

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In addition to numerous technical articles and papers appearing in magazines and

at conferences around the world, Max is also the author and co-author of a number

of books, including Bebop to the Boolean Boogie (An Unconventional Guide to

Electronics) , Designus Maximus Unleashed (Banned in Alabama) , Bebop BYTES Back (An Unconventional Guide to Computers) , EDA: Where Electronics Begins , The Design Warrior’s Guide to FPGAs , and How Computers Do Math ( www.diycalculator.com ).

In his spare time (Ha!), Max is co-editor and co-publisher of the web-delivered

electronics and computing hobbyist magazine EPE Online ( www.epemag.com ) Max

also acts as editor for the Programmable Logic DesignLine website ( www.pldesignline.com ) and for the iDESIGN section of the Chip Design Magazine website ( www

chipdesignmag.com )

On the off-chance that you’re still not impressed, Max was once referred to as an

“ industry notable ” and a “ semiconductor design expert ” by someone famous who wasn’t

prompted, coerced, or remunerated in any way!

Luis Moura (Chapter 9) is the author of Introduction to Linear Circuit Analysis and

Modelling He received the diploma degree in electronics and telecommunications from

the University of Aveiro, Portugal, in 1991, and the PhD degree in electronic engineering from the University of North Wales, Bangor, U.K in 1995 From 1995 to 1997 he worked

as a research Fellow in the Telecommunications Research Group at University College London, U.K He is currently a Lecturer in Electronics at the University of Algarve, Portugal In 2007 he took one year leave of absence to work in the company Lime

Microsystems U.K as Senior Design Engineer He was designing frequency synthesisers for multi-mode/multi-standard wireless transceivers

Ron Schmitt (Chapters 20, 21) is the author of Electromagnetics Explained He is the

former Director of Electrical Engineering, Sensor Research and Development Corp Orono, Maine

Keith H Sueker (Chapters 15, 22, 23) is the author of Power Electronics Design Sueker

received his BEE with High Distinction from the University of Minnesota, he continued his education at Illinois Institute of Technology where he received his MSEE, he also completed his course work for his PhD He spent many years working for Westinghouse Electric Corporation in various positions He then moved on to Robicon Corporation

as a consulting engineer, he retired in 1993 His responsibilities included analytical

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techniques and equipment design for power factor correction and harmonic mitigation Sueker has written a number of IEEE papers and several articles for trade publications Also, he has prepared a monograph and 90 minute video tape on these subjects He and

Mr R P Stratford have presented tutorial sessions on power factor and harmonics at IEEE-IAS annual meetings, and he has presented additional tutorials in other cities He also presented a tutorial on transformers for the local IEEE-IAS in the spring of 1999 and repeated it in the fall of 2003 Sueker delivered a tutorial on power electronics for the local IEEE-IAS/PES in the spring of 2005 He was also pleased to serve on the IEEE committee for awarding the “ IEEE Medal for Engineering Excellence ” for four years

He is currently a Life Senior Member of the IEEE and also a registered Professional Engineer in the Commonwealth of Pennsylvania

Mike Tooley (Chapters 11, 12, 14, 24) is the author of Electronics Circuits He is the

former Director of Learning Technology at Brooklands College, Surrey, U.K

Douglas Warne (Chapters 25) is the editor of Electrical Engineers Reference book,

16 th Edition Warne graduated from Imperial College London in 1967 with a 1st class

honours degree in electrical engineering, during this time he had a student apprenticeship with AEI Heavy Plant Division, Rugby, 1963–1968 He is currently self-employed, and has taken on such projects as Co-ordinated LINK PEDDS programme for DTI, and the electrical engineering, electrical machines and drives and ERCOS programmes for EPSRC Initiated and manage the NETCORDE university-industry network for identifying and launching new R & D projects He has acted as co-ordinator for the

industry-academic funded ESR Network, held the part-time position of Research Contract Co-ordinator for the High Voltage and Energy Systems group at University of Cardiff and monitored several projects funded through the DTI Technology Programme

Tim Williams (Chapters 11, 13, 15) is the author of The Circuit Designer’s Companion.

He is employed with Elmac Services, Chichester, U.K

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An Introduction to Electric Circuits

John Bird

1.1 SI Units

The system of units used in engineering and science is the Système International d’Unités (International system of units), usually abbreviated to SI units, and is based on the metric system This was introduced in 1960 and is now adopted by the majority of countries as the offi cial system of measurement

The basic units in the SI system are listed with their symbols, in Table 1.1

Derived SI units use combinations of basic units and there are many of them Two

examples are:

● Velocity—meters per second (m/s)

● Acceleration—meters per second squared (m/s 2 )

Table 1.1 : Basic SI units

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Table 1.2 : Six most common multiples

M mega multiply by 1,000,000 (i.e.,  10 6 )

k kilo multiply by 1,000 (i.e.,  10 3 )

m milli divide by 1,000 (i.e.,  10  3 )

μ micro divide by 1,000,000 (i.e.,  10  6 )

n nano divide by 1,000,000,000 (i.e.,  10  9 )

p pico divide by 1,000,000,000,000 (i.e.,  10  12 )

SI units may be made larger or smaller by using prefi xes that denote multiplication or division by a particular amount The six most common multiples, with their meaning, are listed in Table 1.2

1.2 Charge

The unit of charge is the coulomb (C) where one coulomb is one ampere second

(1 coulomb  6.24  10 18 electrons) The coulomb is defi ned as the quantity of

electricity that fl ows past a given point in an electric circuit when a current of one ampere

is maintained for one second Thus,

The unit of force is the newton (N) where one newton is one kilogram meter per

second squared The newton is defi ned as the force which, when applied to

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a mass of one kilogram, gives it an acceleration of one meter per second squared

Mass  200 g  0.2 kg and acceleration due to gravity, g  9.81 m/s 2

Force acting downwards weight mass acceleration

The unit of work or energy is the joule (J) where one joule is one Newton meter

The joule is defi ned as the work done or energy transferred when a force of

one newton is exerted through a distance of one meter in the direction of the force Thus,

work done on a body, in joules W  Fs

where F is the force in Newtons and s is the distance in meters moved by the body in the

direction of the force Energy is the capacity for doing work

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1.5 Power

The unit of power is the watt (W) where one watt is one joule per second Power is

defi ned as the rate of doing work or transferring energy Thus,

(a) Work done force distance and

force mass acceleration

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1.6 Electrical Potential and e.m.f

The unit of electric potential is the volt (V) where one volt is one joule per coulomb One

volt is defi ned as the difference in potential between two points in a conductor which, when carrying a current of one ampere, dissipates a power of one watt, i.e.,

volts watts

amperes

joules/secondamperesjoulesampere secon



dds

joulescoulombs



A change in electric potential between two points in an electric circuit is called a

potential difference The electromotive force (e.m.f ) provided by a source of energy such

as a battery or a generator is measured in volts

1.7 Resistance and Conductance

The unit of electric resistance is the ohm ( Ω ) where one ohm is one volt per ampere It

is defi ned as the resistance between two points in a conductor when a constant electric potential of one volt applied at the two points produces a current fl ow of one ampere in the conductor Thus,

resistance, in ohms R V

I



where V is the potential difference across the two points in volts and I is the current

fl owing between the two points in amperes

The reciprocal of resistance is called conductance and is measured in siemens (S) Thus, conductance, in siemens G

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1.8 Electrical Power and Energy

When a direct current of I amperes is fl owing in an electric circuit and the voltage across

the circuit is V volts, then,

power, in watts P  VI

Electrical energy  Power  time

 VIt joules

Although the unit of energy is the joule, when dealing with large amounts of energy, the

unit used is the kilowatt hour ( kWh ) where

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Hence, the current taken from the supply is 4 A

1.9 Summary of Terms, Units and Their Symbols

Table 1.3 : Electrical terms, units, and symbols

Acceleration a meters per second squared m/s 2 or m s  2

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1.10 Standard Symbols for Electrical Components

Symbols are used for components in electrical circuit diagrams and some of the more common ones are shown in Figure 1.1

1.11 Electric Current and Quantity of Electricity

All atoms consist of protons, neutrons and electrons The protons, which have

positive electrical charges, and the neutrons, which have no electrical charge, are

contained within the nucleus Removed from the nucleus are minute negatively charged

particles called electrons Atoms of different materials differ from one another by having

different numbers of protons, neutrons and electrons An equal number of protons and electrons exist within an atom and it is said to be electrically balanced, as the positive and

Battery of 3 cells Alternative symbol

for battery

Alternative symbol for fixed resister Variable resistor

Two conductors crossing but not joined

Two conductors joined together

Figure 1.1 : Common electrical component symbols

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negative charges cancel each other out When there are more than two electrons

in an atom the electrons are arranged into shells at various distances from the

nucleus

All atoms are bound together by powerful forces of attraction existing between

the nucleus and its electrons Electrons in the outer shell of an atom, however, are

attracted to their nucleus less powerfully than are electrons whose shells are nearer the nucleus

It is possible for an atom to lose an electron; the atom, which is now called an ion ,

is not now electrically balanced, but is positively charged and is thus able to attract

an electron to itself from another atom Electrons that move from one atom to another are called free electrons and such random motion can continue indefi nitely However,

if an electric pressure or voltage is applied across any material there is a tendency

for electrons to move in a particular direction This movement of free electrons,

known as drift , constitutes an electric current fl ow Thus current is the rate of movement

of charge

Conductors are materials that contain electrons that are loosely connected to the nucleus

and can easily move through the material from one atom to another

Insulators are materials whose electrons are held fi rmly to their nucleus

The unit used to measure the quantity of electrical charge Q is called the coulomb C

(where 1 coulomb  6.24  10 18 electrons)

If the drift of electrons in a conductor takes place at the rate of one coulomb per second the resulting current is said to be a current of one ampere

Thus, 1 ampere  1 coulomb per second or 1 A  1 C/s Hence, 1 coulomb  1 ampere second or 1 C  1 As Generally, if I is the current in amperes and t the time in seconds during which the current fl ows, then I  t represents the quantity of electrical charge in

coulombs, i.e., quantity of electrical charge transferred,

Q  coulombsI t

Example 1.9

What current must fl ow if 0.24 coulombs is to be transferred in 15 ms?

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1.12 Potential Difference and Resistance

For a continuous current to fl ow between two points in a circuit a potential difference

or voltage , V, is required between them; a complete conducting path is necessary to and

from the source of electrical energy The unit of voltage is the volt, V

Figure 1.2 shows a cell connected across a fi lament lamp Current fl ow, by convention,

is considered as fl owing from the positive terminal of the cell, around the circuit to the negative terminal

The fl ow of electric current is subject to friction This friction, or opposition, is called

resistance R and is the property of a conductor that limits current The unit of resistance

Figure 1.2 : Current fl ow

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is the ohm ; 1 ohm is defi ned as the resistance which will have a current of 1 ampere

fl owing through it when 1 volt is connected across it, i.e.,

resistance potential difference

current

R

1.13 Basic Electrical Measuring Instruments

An ammeter is an instrument used to measure current and must be connected in series

with the circuit Figure 1.2 shows an ammeter connected in series with the lamp to measure the current fl owing through it Since all the current in the circuit passes through the ammeter it must have a very low resistance

A voltmeter is an instrument used to measure voltage and must be connected in parallel

with the part of the circuit whose voltage is required In Figure 1.2 , a voltmeter is

connected in parallel with the lamp to measure the voltage across it To avoid a signifi cant current fl owing through it, a voltmeter must have a very high resistance

An ohmmeter is an instrument for measuring resistance

A multimeter , or universal instrument, may be used to measure voltage, current and resistance The oscilloscope may be used to observe waveforms and to measure voltages

and currents The display of an oscilloscope involves a spot of light moving across a screen The amount by which the spot is defl ected from its initial position depends on the voltage applied to the terminals of the oscilloscope and the range selected The displacement is calibrated in volts per cm For example, if the spot is defl ected 3 cm and the volts/cm switch is on 10 V/cm, then the magnitude of the voltage is 3 cm  10 V/cm, i.e., 30 V

1.14 Linear and Nonlinear Devices

Figure 1.3 shows a circuit in which current I can be varied by the variable resistor R2

For various settings of R2 , the current fl owing in resistor R1 , displayed on the ammeter,

and the p.d across R1 , displayed on the voltmeter, are noted and a graph is plotted of p.d against current The result is shown in Figure 1.4(a) where the straight line graph passing through the origin indicates that current is directly proportional to the voltage Since the

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gradient, i.e., (voltage/current), is constant, resistance R1 is constant A resistor is thus an example of a linear device

If the resistor R1 in Figure 1.3 is replaced by a component such as a lamp, then the graph shown in Figure 1.4(b) results when values of voltage are noted for various current

readings Since the gradient is changing, the lamp is an example of a nonlinear device

Figure 1.3 : Circuit in which current can be varied

Figure 1.4 : Graphs of voltage vs current: (a) linear device (b) nonlinear device

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Example 1.11

The current fl owing through a resistor is 0.8 A when a voltage of 20 V is applied

Determine the value of the resistance

1.16 Multiples and Submultiples

Currents, voltages and resistances can often be very large or very small Thus multiples and submultiples of units are often used The most common ones, with an example of each, are listed in Table 1.4

Table 1.4 : Common multiples and submultiples of units

M mega multiply by 1,000,000 (i.e.,  10 6 ) 2 M Ω  2,000,000 ohms

k kilo multiply by 1000 (i.e.,  10 3 ) 10 kV  10,000 volts

m milli divide by 1000 (i.e ,  10  3 )

1000 A0.025 amperes

μ 



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12 00050

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0 05

12 0005

600 000 orr 600 k 0.6 M

or

Ω Ω

A

Figure 1.5 : Current/voltage for two resistors A and B

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1.17 Conductors and Insulators

A conductor is a material having a low resistance which allows electric current to fl ow

in it All metals are conductors and some examples include copper, aluminium, brass, platinum, silver, gold and carbon

An insulator is a material having a high resistance which does not allow electric current

to fl ow in it Some examples of insulators include plastic, rubber, glass, porcelain, air, paper, cork, mica, ceramics and certain oils

1.18 Electrical Power and Energy

1.18.1 Electrical Power

Power P in an electrical circuit is given by the product of potential difference V and current I The unit of power is the watt , W Hence,

P  wattsV I From Ohm’s law, V  IR.

Substituting for V in equation (1.1) gives:

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Example 1.17

A 100 W electric light bulb is connected to a 250 V supply Determine (a) the current

fl owing in the bulb, and (b) the resistance of the bulb

,100250

10025

25250

0 4

25004

 

0.4 A 625

An electric kettle has a resistance of 30 Ω What current will fl ow when it is connected to

a 240 V supply? Find also the power rating of the kettle

240 8 1920

8 A

1.95 kW

rating of kettle

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Potential difference across winding, V  IR  5  100  500 V

Power dissipated by coil, P  I2R  5 2  100

Electrical energy  power  time

If the power is measured in watts and the time in seconds then the unit of energy is

watt-seconds or joules If the power is measured in kilowatts and the time in hours then the unit of energy is kilowatt-hours , often called the unit of electricity The electricity

meter in the home records the number of kilowatt-hours used and is thus an energy meter

Example 1.22

A 12 V battery is connected across a load having a resistance of 40 Ω Determine

the current fl owing in the load, the power consumed and the energy dissipated in

2 minutes

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