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Electric Powertrain - Energy Systems, Power Electronics & Drives for Hybrid, Electric & Fuel Cell Vehicles

Electric Powertrain - Energy Systems, Power Electronics & Drives for Hybrid, Electric & Fuel Cell Vehicles

Autorzy
Wydawnictwo John Wiley and Sons Ltd
Data wydania 26/01/2018
Liczba stron 560
Forma publikacji książka w twardej oprawie
Poziom zaawansowania Dla profesjonalistów, specjalistów i badaczy naukowych
Język angielski
ISBN 9781119063643
Kategorie Zamiana energii i
549.15 PLN (z VAT)
$123.53 / €117.74 / £102.21 /
Produkt na zamówienie
Dostawa 3-4 tygodnie
Ilość
Do schowka

Opis książki

The why, what and how of the electric vehicle powertrain

Empowers engineering professionals and students with the knowledge and skills required to engineer electric vehicle powertrain architectures, energy storage systems, power electronics converters and electric drives.

The modern electric powertrain is relatively new for the automotive industry, and engineers are challenged with designing affordable, efficient and high-performance electric powertrains as the industry undergoes a technological evolution. Co-authored by two electric vehicle (EV) engineers with decades of experience designing and putting into production all of the powertrain technologies presented, this book provides readers with the hands-on knowledge, skills and expertise they need to rise to that challenge.

This four-part practical guide provides a comprehensive review of battery, hybrid and fuel cell EV systems and the associated energy sources, power electronics, machines, and drives. The first part of the book begins with a historical overview of electromobility and the related environmental impacts motivating the development of the electric powertrain. Vehicular requirements for electromechanical propulsion are then presented. Battery electric vehicles (BEV), fuel cell electric vehicles (FCEV), and conventional and hybrid electric vehicles (HEV) are then described, contrasted and compared for vehicle propulsion. The second part of the book features in-depth analysis of the electric powertrain traction machines, with a particular focus on the induction machine and the surface- and interior-permanent magnet ac machines. The brushed dc machine is also considered due to its ease of operation and understanding, and its historical place, especially as the traction machine on NASA's Mars rovers. The third part of the book features the theory and applications for the propulsion, charging, accessory, and auxiliary power electronics converters. Chapters are presented on isolated and non-isolated dc-dc converters, traction inverters, and battery charging. The fourth part presents the introductory and applied electromagnetism required as a foundation throughout the book.

* Introduces and holistically integrates the key EV powertrain technologies.
* Provides a comprehensive overview of existing and emerging automotive solutions.
* Provides experience-based expertise for vehicular and powertrain system and sub-system level study, design, and optimization.
* Presents many examples of powertrain technologies from leading manufacturers.
* Discusses the dc traction machines of the Mars rovers, the ultimate EVs from NASA.
* Investigates the environmental motivating factors and impacts of electromobility.
* Presents a structured university teaching stream from introductory undergraduate to postgraduate.
* Includes real-world problems and assignments of use to design engineers, researchers, and students alike.
* Features a companion website with numerous references, problems, solutions, and practical assignments.
* Includes introductory material throughout the book for the general scientific reader.
* Contains essential reading for government regulators and policy makers.

Electric Powertrain: Energy Systems, Power Electronics and Drives for Hybrid, Electric and Fuel Cell Vehicles is an important professional resource for practitioners and researchers in the battery, hybrid, and fuel cell EV transportation industry. The book is a structured holistic textbook for the teaching of the fundamental theories and applications of energy sources, power electronics, and electric machines and drives to engineering undergraduate and postgraduate students.

Textbook Structure and Suggested Teaching Curriculum
This is primarily an engineering textbook covering the automotive powertrain, energy storage and energy conversion, power electronics, and electrical machines. A significant additional focus is placed on the engineering design, the energy for transportation, and the related environmental impacts. This textbook is an educational tool for practicing engineers and others, such as transportation policy planners and regulators. The modern automobile is used as the vehicle upon which to base the theory and applications, which makes the book a useful educational reference for our industry colleagues, from chemists to engineers. This material is also written to be of interest to the general reader, who may have little or no interest in the power electronics and machines. Introductory science, mathematics, and an inquiring mind suffice for some chapters. The general reader can read the introduction to each of the chapters and move to the next as soon as the material gets too advanced for him or her.

Part I Vehicles and Energy Sources
Chapter 1 Electromobility and the Environment
Chapter 2 Vehicle Dynamics
Chapter 3 Batteries
Chapter 4 Fuel Cells
Chapter 5 Conventional and Hybrid Powertrains
Part II Electrical Machines
Chapter 6 Introduction to Traction Machines
Chapter 7 The Brushed DC Machine
Chapter 8 Induction Machines
Chapter 9 Surface-permanent-magnet AC Machines
Chapter 10: Interior-permanent-magnet AC Machines
Part III Power Electronics
Chapter 11 DC-DC Converters
Chapter 12 Isolated DC-DC Converters
Chapter 13 Traction Drives and Three-phase Inverters
Chapter 14 Battery Charging
Chapter 15 Control of the Electric Drive
Part IV Basics
Chapter 16 Introduction to Electromagnetism, Ferromagnetism, and Electromechanical Energy Conversion

The first third of the book (Chapters 1 to 6), plus parts of Chapters 14 and 16, can be taught to the general science or engineering student in the second or third year. It covers the introductory automotive material using basic concepts from mechanical, electrical, environmental, and electrochemical engineering. Chapter 14 on electrical charging and Chapter 16 on electromagnetism can also be used as a general introduction to electrical engineering.

The basics of electromagnetism, ferromagnetism and electromechanical energy conversion (Chapter 16) and dc machines (Chapter 7) can be taught to second year (sophomore) engineering students who have completed introductory electrical circuits and physics.

The third year (junior) students typically have covered ac circuit analysis, and so they can cover ac machines, such as the induction machine (Chapter 8) and the surface permanent-magnet ac machine (Chapter 9). As the students typically have studied control theory, they can investigate the control of the speed and torque loops of the motor drive (Chapter 15). Power electronics, featuring non-isolated buck and boost converters (Chapter 11), can also be introduced in the third year.

The final-year (senior) students can then go on to cover the more advanced technologies of the interior-permanent-magnet ac machine (Chapter 10). Isolated power converters (Chapter 12), such as the full-bridge and resonant converters, inverters (Chapter 13), and power-factor-corrected battery chargers (Chapter 14), are covered in the power electronics section. This material can also be covered at the introductory postgraduate level. Various homework, simulation, and research exercises are presented throughout the textbook.

The reader is encouraged to attempt these exercises as part of the learning experience. Instructors are encouraged to contact the author, John Hayes, direct to discuss course content or structure. Hayes and Goodarzi have focused their considerable talent and experience to teaching the inner workings of the electric car. Readers, whether engineers, students, or the interested public will find this book a treasure trove of knowledge on modern automotive technology. In conclusion, what a great book! -John M Miller, J-N-J Miller Design Services PLLC, Longview, Texas, USA
I highly recommend 'Electric Powertrain: Energy Systems, Power Electronics and Drives for Hybrid, Electric and Fuel Cell Vehicles' by Dr John G. Hayes and Dr G. Abas Goodar

Electric Powertrain - Energy Systems, Power Electronics & Drives for Hybrid, Electric & Fuel Cell Vehicles

Spis treści

Preface xix





Acknowledgments xxi





Textbook Structure and Suggested Teaching Curriculum xxii





About the Companion Web Site xxiv





Part 1 Vehicles and Energy Sources 1





1 Electromobility and the Environment 3





1.1 A Brief History of the Electric Powertrain 4





1.1.1 Part I - The Birth of the Electric Car 4





1.1.2 Part II - The Resurgent Electric Powertrain 5





1.1.3 Part III - Success at Last for the Electric Powertrain 6





1.2 Energy Sources for Propulsion and Emissions 10





1.2.1 Carbon Emissions from Fuels 12





1.2.2 Greenhouse Gases and Pollutants 13





1.3 The Advent of Regulations 15





1.3.1 Regulatory Considerations and Emissions Trends 17





1.3.2 Heavy-Duty Vehicle Regulations 18





1.4 Drive Cycles 19





1.4.1 EPA Drive Cycles 19





1.5 BEV Fuel Consumption, Range, and mpge 24





1.6 Carbon Emissions for Conventional and Electric Powertrains 25





1.6.1 Well-to-Wheel and Cradle-to-Grave Emissions 27





1.6.2 Emissions due to the Electrical Grid 28





1.7 An Overview of Conventional, Battery, Hybrid, and Fuel Cell Electric Systems 29





1.7.1 Conventional IC Engine Vehicle 30





1.7.2 BEVs 30





1.7.3 HEVs 31





1.7.4 FCEV 33





1.7.5 A Comparison by Efficiency of Conventional, Hybrid, Battery, and Fuel Cell Vehicles 34





1.7.6 A Case Study Comparison of Conventional, Hybrid, Battery, and Fuel Cell Vehicles 35





1.8 A Comparison of Automotive and Other Transportation Technologies 36





References 37





Further Reading 38





Problems 38





Assignments 39





2 Vehicle Dynamics 40





2.1 Vehicle Load Forces 40





2.1.1 Basic Power, Energy, and Speed Relationships 41





2.1.2 Aerodynamic Drag 42





2.1.3 Rolling Resistance 45





2.1.4 Vehicle Road-Load Coefficients from EPA Coast-Down Testing 46





2.1.5 Battery Electric Vehicle Range at Constant Speed 49





2.1.6 Gradability 51





2.2 Vehicle Acceleration 52





2.2.1 Regenerative Braking of the Vehicle 54





2.2.2 Traction Motor Characteristics 54





2.2.3 Acceleration of the Vehicle 57





2.3 Simple Drive Cycle for Vehicle Comparisons 60





References 62





Further Reading 62





Problems 62





Sample MATLAB Code 63





Assignment: Modeling of a BEV 66





3 Batteries 68





3.1 Introduction to Batteries 68





3.1.1 Batteries Types and Battery Packs 68





3.1.2 Basic Battery Operation 73





3.1.3 Basic Electrochemistry 74





3.1.4 Units of Battery Energy Storage 76





3.1.5 Capacity Rate 77





3.1.6 Battery Parameters and Comparisons 79





3.2 Lifetime and Sizing Considerations 81





3.2.1 Examples of Battery Sizing 84





3.2.2 Battery Pack Discharge Curves and Aging 86





3.3 Battery Charging, Protection, and Management Systems 88





3.3.1 Battery Charging 88





3.3.2 Battery Failure and Protection 88





3.3.3 Battery Management System 89





3.4 Battery Models 90





3.4.1 A Simple Novel Curve Fit Model for BEV Batteries 92





3.4.2 Voltage, Current, Resistance, and Efficiency of Battery Pack 95





3.4.3 A Simple Curve-Fit Model for HEV Batteries 96





3.4.4 Charging 97





3.4.5 Determining the Cell/Pack Voltage for a Given Output\Input Power 99





3.4.6 Cell Energy and Discharge Rate 100





3.5 Example: The Fuel Economy of a BEV Vehicle with a Fixed Gear Ratio 102





References 105





Further Reading 106





Problems 106





Appendix: A Simplified Curve-Fit Model for BEV Batteries 108





4 Fuel Cells 111





4.1 Introduction to Fuel Cells 111





4.1.1 Fuel Cell Vehicle Emissions and Upstream Emissions 113





4.1.2 Hydrogen Safety Factors 113





4.2 Basic Operation 114





4.2.1 Fuel Cell Model and Cell Voltage 116





4.2.2 Power and Efficiency of Fuel Cell and Fuel Cell Power Plant System 118





4.2.3 Fuel Cell Characteristic Curves 119





4.3 Sizing the Fuel Cell Plant 120





4.3.1 Example: Sizing a Fuel Cell 121





4.3.2 Toyota Mirai 121





4.3.3 Balance of Plant 121





4.3.4 Boost DC-DC Converter 122





4.4 Fuel Cell Aging 122





4.5 Example: Sizing Fuel Cell System for Heavy Goods Tractor-Trailer Combination 124





4.6 Example: Fuel Economy of Fuel Cell Electric Vehicle 125





References 129





Problems 129





Assignments 130





5 Conventional and Hybrid Powertrains 131





5.1 Introduction to HEVs 131





5.2 Brake Specific Fuel Consumption 134





5.2.1 Example: Energy Consumption, Power Output, Efficiency, and BSFC 135





5.3 Comparative Examples of Conventional, Series, and Series-Parallel Hybrid Systems 138





5.3.1 Example: Fuel Economy of IC Engine Vehicle with Gasoline or Diesel Engine 138





5.3.2 Example: Fuel Economy of Series HEV 144





5.3.3 Example: Fuel Economy of Series-Parallel HEV 146





5.3.4 Summary of Comparisons 148





5.4 The Planetary Gears as a Power-Split Device 148





5.4.1 Powertrain of 2004 Toyota Prius 150





5.4.2 Example: CVT Operating in Electric Drive Mode (Vehicle Launch and Low Speeds) 151





5.4.3 Example: CVT Operating in Full-Power Mode 153





5.4.4 Example: CVT Operating in Cruising and Generating Mode 154





References 155





Problems 155





Assignments 156





Part 2 Electrical Machines 159





6 Introduction to Traction Machines 161





6.1 Propulsion Machine Overview 161





6.1.1 DC Machines 162





6.1.2 AC Machines 163





6.1.3 Comparison of Traction Machines 167





6.1.4 Case Study - Mars Rover Traction Motor 169





6.2 Machine Specifications 170





6.2.1 Four-Quadrant Operation 170





6.2.2 Rated Parameters 171





6.2.3 Rated Torque 172





6.2.4 Rated and Base Speeds 172





6.2.5 Rated Power 172





6.2.6 Peak Operation 173





6.2.7 Starting Torque 173





6.3 Characteristic Curves of a Machine 173





6.3.1 Constant-Torque Mode 173





6.3.2 Constant-Power Mode 174





6.3.3 Maximum-Speed Mode 174





6.3.4 Efficiency Maps 174





6.4 Conversion Factors of Machine Units 176





References 177





7 The Brushed DC Machine 178





7.1 DC Machine Structure 178





7.2 DC Machine Electrical Equivalent Circuit 180





7.3 DC Machine Circuit Equations 182





7.3.1 No-Load Spinning Loss 183





7.3.2 No-Load Speed 184





7.3.3 Maximum Power 184





7.3.4 Rated Conditions 184





7.4 Power, Losses, and Efficiency in the PM DC Machine 185





7.5 Machine Control using Power Electronics 186





7.5.1 Example: Motoring using a PM DC Machine 186





7.6 Machine Operating as a Motor or Generator in Forward or Reverse Modes 189





7.6.1 Example: Generating/Braking using a PM DC Machine 190





7.6.2 Example: Motoring in Reverse 191





7.7 Saturation and Armature Reaction 191





7.7.1 Example: Motoring using PM DC Machine and Machine Saturation 192





7.8 Using PM DC Machine for EV Powertrain 193





7.8.1 Example: Maximum Speeds using PM DC Machine 194





7.9 Using WF DC Machine for EV Powertrain 195





7.9.1 Example: Motoring using WF DC Machine 197





7.10 Case Study - Mars Rover Traction Machine 199





7.11 Thermal Characteristics of Machine 201





7.11.1 Example of Steady-State Temperature Rise 202





7.11.2 Transient Temperature Rise 203





7.11.3 Example of Transient Temperature Rise 203





References 204





Problems 204





8 Induction Machines 206





8.1 Stator Windings and the Spinning Magnetic Field 207





8.1.1 Stator Magnetic Flux Density 209





8.1.2 Space-Vector Current and the Rotating Magnetic Field 211





8.2 Induction Machine Rotor Voltage, Current, and Torque 216





8.2.1 Rotor Construction 216





8.2.2 Induction Machine Theory of Operation 216





8.3 Machine Model and Steady-State Operation 219





8.3.1 Power in Three-Phase Induction Machine 222





8.3.2 Torque in Three-Phase Induction Machine 223





8.3.3 Phasor Analysis of Induction Motor 225





8.3.4 Machine Operation When Supplied by Current Source 225





8.4 Variable-Speed Operation of Induction Machine 234





8.4.1 Constant Volts per hertz Operation 235





8.4.2 Variable-Speed Operation 235





8.5 Machine Test 240





8.5.1 DC Resistance Test 240





8.5.2 Locked-Rotor Test 240





8.5.3 No-Load Test 242





References 244





Further Reading 244





Problems 245





Sample MATLAB Code 246





9 Surface-Permanent-Magnet AC Machines 249





9.1 Basic Operation of SPM Machines 249





9.1.1 Back EMF of a Single Coil 249





9.1.2 Back EMF of Single Phase 250





9.1.3 SPM Machine Equations 253





9.2 Per-Phase Analysis of SPM Machine 255





9.2.1 Per-Phase Equivalent Circuit Model for SPM Machine 256





9.2.2 Phasor Analysis of SPM Machine 257





9.2.3 Machine Saturation 263





9.2.4 SPM Torque-Speed Characteristics 264





9.2.5 High-Speed Operation of SPM Machine above Rated Speed 266





9.2.6 Machine Characteristics for Field-Weakened Operation 270





References 272





Further Reading 273





Problems 273





MATLAB Code 274





10 Interior-Permanent-Magnet AC Machine 276





10.1 Machine Structure and Torque Equations 276





10.2 d- and q-Axis Inductances 278





10.2.1 Example: Estimating the d-axis and q-axis Inductances for 2004 Toyota Prius Motor 281





10.3 IPM Machine Test 281





10.3.1 No-Load Spin Test 282





10.3.2 DC Torque Test 282





10.4 Basic Theory and Low-Speed Operation 286





10.4.1 Example: Motoring at Rated Condition 287





10.4.2 Maximum Torque per Ampere (MTPA) 289





10.4.3 Maximum Torque per Volt (MTPV) or Maximum Torque per Flux (MTPF) 289





10.5 High-Speed Operation of IPM Machine 289





10.5.1 Example: Motoring at High Speed using IPM Machine 289





10.6 dq Modeling of Machines 291





10.6.1 Constant Current Transformation 292





10.6.2 Constant Power Transformation 294





References 295





Further Reading 295





Problems 296





Assignments 298





Part 3 Power Electronics 299





11 DC-DC Converters 301





11.1 Introduction 301





11.2 Power Conversion - Common and Basic Principles 304





11.2.1 The Basic Topologies 306





11.2.2 The Half-Bridge Buck-Boost Bidirectional Converter 307





11.3 The Buck or Step-Down Converter 307





11.3.1 Analysis of Voltage Gain of Buck Converter in CCM 309





11.3.2 BCM Operation of Buck Converter 317





11.3.3 DCM Operation of Buck Converter 319





11.4 The Boost or Step-up Converter 325





11.4.1 Analysis of Voltage Gain of Boost Converter in CCM 326





11.4.2 BCM Operation of Boost Converter 330





11.4.3 DCM Operation of Boost Converter 332





11.5 Power Semiconductors 336





11.5.1 Power Semiconductor Power Loss 337





11.5.2 Total Semiconductor Power Loss and Junction Temperature 341





11.6 Passive Components for Power Converters 342





11.6.1 Example: Inductor Sizing 342





11.6.2 Capacitor Sizing 343





11.7 Interleaving 343





11.7.1 Example: Two-Phase Interleaved Boost Converter 345





References 346





Further Reading 346





Problems 346





Assignments 349





Appendix I 349





Appendix II: Buck-Boost Converter 349





Appendix III: Silicon Carbide Converters and Inverters 352





12 Isolated DC-DC Converters 353





12.1 Introduction 353





12.1.1 Advantages of Isolated Power Converters 353





12.1.2 Power Converter Families 354





12.2 The Forward Converter 355





12.2.1 CCM Currents in Forward Converter 357





12.2.2 CCM Voltages in Forward Converter 362





12.2.3 Sizing the Transformer 365





12.3 The Full-Bridge Converter 365





12.3.1 Operation of Hard-Switched Full-Bridge Converter 367





12.3.2 CCM Currents in Full-Bridge Converter 370





12.3.3 CCM Voltages in the Full-Bridge Converter 376





12.4 Resonant Power Conversion 377





12.4.1 LCLC Series-Parallel Resonant Converter 377





12.4.2 Desirable Converter Characteristics for Inductive Charging 378





12.4.3 Fundamental-Mode Analysis and Current-Source Operation 381





12.4.4 Simulation 385





References 388





Further Reading 388





Problems 388





Assignments 390





Appendix I: RMS and Average Values of Ramp and Step Waveforms 390





Appendix II: Flyback Converter 391





13 Traction Drives and Three-Phase Inverters 392





13.1 Three-Phase Inverters 392





13.2 Modulation Schemes 393





13.2.1 Sinusoidal Modulation 395





13.2.2 Sinusoidal Modulation with Third Harmonic Addition 396





13.2.3 Overmodulation and Square Wave 398





13.3 Sinusoidal Modulation 398





13.3.1 Modulation Index m 399





13.3.2 Inverter Currents 401





13.3.3 Switch, Diode, and Input Average Currents 401





13.3.4 Switch, Diode, DC Link, and Input Capacitor RMS Currents 403





13.3.5 Example: Inverter Currents 404





13.4 Inverter Power Loss 405





13.4.1 Conduction Loss of IGBT and Diode 405





13.4.2 Switching Loss of IGBT Module 405





13.4.3 Total Semiconductor Power Loss and Junction Temperature 407





13.4.4 Example: Regenerative Currents 408





References 409





Further Reading 409





Problems 410





Assignments 411





14 Battery Charging 412





14.1 Basic Requirements for Charging System 412





14.2 Charger Architectures 414





14.3 Grid Voltages, Frequencies, and Wiring 416





14.4 Charger Functions 418





14.4.1 Real Power, Apparent Power, and Power Factor 419





14.5 Charging Standards and Technologies 422





14.5.1 SAE J1772 422





14.5.2 VDE-AR-E 2623-2-2 425





14.5.3 CHAdeMo 425





14.5.4 Tesla 425





14.5.5 Wireless Charging 425





14.6 The Boost Converter for Power Factor Correction 427





14.6.1 The Boost PFC Power Stage 428





14.6.2 Sizing the Boost Inductor 430





14.6.3 Average Currents in the Rectifier 431





14.6.4 Switch and Diode Average Currents 432





14.6.5 Switch, Diode, and Capacitor RMS Currents 434





14.6.6 Power Semiconductors for Charging 434





References 438





Further Reading 438





Problems 439





Assignments 440





15 Control of the Electric Drive 441





15.1 Introduction to Control 441





15.1.1 Feedback Controller Design Approach 442





15.2 Modeling the Electromechanical System 443





15.2.1 The Mechanical System 443





15.2.2 The PM DC Machine 446





15.2.3 The DC-DC Power Converter 447





15.2.4 The PI Controller 447





15.3 Designing Torque Loop Compensation 448





15.3.1 Example: Determining Compensator Gain Coefficients for Torque Loop 449





15.4 Designing Speed Control Loop Compensation 449





15.4.1 Example: Determining Compensator Gain Coefficients for Speed Loop 451





15.5 Acceleration of Battery Electric Vehicle (BEV) using PM DC Machine 451





15.6 Acceleration of BEV using WF DC Machine 452





References 455





Problems 455





Assignment and Sample MATLAB Codes 456





Part 4 Electromagnetism 459





16 Introduction to Electromagnetism, Ferromagnetism, and Electromechanical Energy Conversion 461





16.1 Electromagnetism 462





16.1.1 Maxwell's Equations 462





16.2 Ferromagnetism 467





16.2.1 Magnetism and Hysteresis 467





16.2.2 Hard and Soft Ferromagnetic Materials 470





16.3 Self-Inductance 473





16.3.1 Basic Inductor Operation 474





16.3.2 Inductor Equations 475





16.3.3 Reluctance 478





16.3.4 Energy Stored in Magnetic Field 481





16.3.5 Core Loss 482





16.3.6 Copper Loss 484





16.3.7 Inductor Sizing using Area Product 487





16.3.8 High-Frequency Operation and Skin Depth 488





16.4 Hard Ferromagnetic Materials and Permanent Magnets 489





16.4.1 Example: Remanent Flux Density 490





16.4.2 Example: The Recoil Line 492





16.4.3 Example: Air Gap Flux Density due to a Permanent Magnet 494





16.4.4 Maximum Energy Product 494





16.4.5 Force due to Permanent Magnet 494





16.4.6 Electromagnet 497





16.5 The Transformer 498





16.5.1 Theory of Operation 498





16.5.2 Transformer Equivalent Circuit 500





16.5.3 Transformer Voltages and Currents 501





16.5.4 Sizing the Transformer using the Area-Product (AP) Method 505





16.6 The Capacitor 506





16.6.1 Sizing Polypropylene High-Voltage Capacitor 508





16.7 Electromechanical Energy Conversion 509





16.7.1 Ampere's Force Law 509





16.7.2 General Expression for Torque on Current-Carrying Coil 510





16.7.3 Torque, Flux Linkage, and Current 511





16.7.4 Faraday's Law of Electromagnetic Induction 512





16.7.5 Lenz's Law and Fleming's Right Hand Rule 512





References 513





Further Reading 514





Further Viewing 515





Problems 515





Assignments 518





Reference Conversion Table 519





Index 521

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