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Electricity and Magnetism, Second Edition

Book Description

For 40 years, Edward M. Purcell's classic textbook has introduced students to the wonders of electricity and magnetism. With profound physical insight, Purcell covers all the standard introductory topics, such as electrostatics, magnetism, circuits, electromagnetic waves, and electric and magnetic fields in matter. Taking a non-traditional approach, the textbook focuses on fundamental questions from different frames of reference. Mathematical concepts are introduced in parallel with the physics topics at hand, making the motivations clear. Macroscopic phenomena are derived rigorously from microscopic phenomena. With hundreds of illustrations and over 300 end-of-chapter problems, this textbook is widely considered the best undergraduate textbook on electricity and magnetism ever written.

Table of Contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright
  5. Contents
  6. Preface to the Second Edition of Volume 2
  7. Preface to the First Edition of Volume 2
  8. Preface to the Berkeley Physics Course
  9. Chapter 1: Electrostatics: Charges and Fields
    1. 1.1 Electric Charge
    2. 1.2 Conservation of Charge
    3. 1.3 Quantization of Charge
    4. 1.4 Coulomb’s Law
    5. 1.5 Energy of a System of Charges
    6. 1.6 Electrical Energy in a Crystal Lattice
    7. 1.7 The Electric Field
    8. 1.8 Charge Distributions
    9. 1.9 Flux
    10. 1.10 Gauss’s Law
    11. 1.11 Field of a Spherical Charge Distribution
    12. 1.12 Field of a Line Charge
    13. 1.13 Field of an Infinite Flat Sheet of Charge
    14. 1.14 The Force on a Layer of Charge
    15. 1.15 Energy Associated with the Electric Field
    16. Problems
  10. Chapter 2: The Electric Potential
    1. 2.1 Line Integral of the Electric Field
    2. 2.2 Potential Difference and the Potential Function
    3. 2.3 Gradient of a Scalar Function
    4. 2.4 Derivation of the Field from the Potential
    5. 2.5 Potential of a Charge Distribution
      1. Potential of Two Point Charges
      2. Potential of a Long Charged Wire
    6. 2.6 Uniformly Charged Disk
    7. 2.7 Divergence of a Vector Function
    8. 2.8 Gauss’s Theorem and the Differential Form of Gauss’s Law
    9. 2.9 The Divergence in Cartesian Coordinates
    10. 2.10 The Laplacian
    11. 2.11 Laplace’s Equation
    12. 2.12 Distinguishing the Physics from the Mathematics
    13. 2.13 The Curl of a Vector Function
    14. 2.14 Stokes' Theorem
    15. 2.15 The Curl in Cartesian Coordinates
    16. 2.16 The Physical Meaning of the Curl
    17. Problems
  11. Chapter 3: Electric Fields Around Conductors
    1. 3.1 Conductors and Insulators
    2. 3.2 Conductors in the Electrostatic Field
    3. 3.3 The General Electrostatic Problem; Uniqueness Theorem
    4. 3.4 Some Simple Systems of Conductors
    5. 3.5 Capacitance and Capacitors
    6. 3.6 Potentials and Charges on Several Conductors
    7. 3.7 Energy Stored in a Capacitor
    8. 3.8 Other Views of the Boundary-Value Problem
    9. Problems
  12. Chapter 4: Electric Currents
    1. 4.1 Electric Current and Current Density
    2. 4.2 Steady Currents and Charge Conservation
    3. 4.3 Electrical Conductivity and Ohm’s Law
    4. 4.4 The Physics of Electrical Conduction
    5. 4.5 Conduction in Metals
    6. 4.6 Semiconductors
    7. 4.7 Circuits and Circuit Elements
    8. 4.8 Energy Dissipation in Current Flow
    9. 4.9 Electromotive Force and the Voltaic Cell
    10. 4.10 Networks with Voltage Sources
    11. 4.11 Variable Currents in Capacitors and Resistors
    12. Problems
  13. Chapter 5: The Fields of Moving Charges
    1. 5.1 From Oersted to Einstein
    2. 5.2 Magnetic Forces
    3. 5.3 Measurement of Charge in Motion
    4. 5.4 Invariance of Charge
    5. 5.5 Electric Field Measured in Different Frames of Reference
    6. 5.6 Field of a Point Charge Moving with Constant Velocity
    7. 5.7 Field of a Charge That Starts or Stops
    8. 5.8 Force on a Moving Charge
    9. 5.9 Interaction between a Moving Charge and Other Moving Charges
    10. Problems
  14. Chapter 6: The Magnetic Field
    1. 6.1 Definition of the Magnetic Field
    2. 6.2 Some Properties of the Magnetic Field
    3. 6.3 Vector Potential
    4. 6.4 Field of Any Current-Carrying Wire
    5. 6.5 Fields of Rings and Coils
    6. 6.6 Change in B at a Current Sheet
    7. 6.7 How the Fields Transform
    8. 6.8 Rowland’s Experiment
    9. 6.9 Electric Conduction in a Magnetic Field: The Hall Effect
    10. Problems
  15. Chapter 7: Electromagnetic Induction
    1. 7.1 Faraday’s Discovery
    2. 7.2 A Conducting Rod Moving through a Uniform Magnetic Field
    3. 7.3 A Loop Moving through a Nonuniform Magnetic Field
    4. 7.4 A Stationary Loop with the Field Sources Moving
    5. 7.5 A Universal Law of Induction
    6. 7.6 Mutual Inductance
    7. 7.7 A Reciprocity Theorem
    8. 7.8 Self -inductance
    9. 7.9 A Circuit Containing Self-inductance
    10. 7.10 Energy Stored in the Magnetic Field
    11. Problems
  16. Chapter 8: Alternating-Current Circuits
    1. 8.1 A Resonant Circuit
    2. 8.2 Alternating Current
    3. 8.3 Alternating-Current Networks
    4. 8.4 Admittance and Impedance
    5. 8.5 Power and Energy in Alternating-Current Circuits
    6. Problems
  17. Chapter 9: Maxwell’s Equations and Electromagnetic Waves
    1. 9.1 "Something Is Missing"
    2. 9.2 The Displacement Current
    3. 9.3 Maxwell’s Equations
    4. 9.4 An Electromagnetic Wave
    5. 9.5 Other Waveforms; Superposition of Waves
    6. 9.6 Energy Transport by Electromagnetic Waves
    7. 9.7 How a Wave Looks in a Different Frame
    8. Problems
  18. Chapter 10: Electric Fields in Matter
    1. 10.1 Dielectrics
    2. 10.2 The Moments of a Charge Distribution
    3. 10.3 The Potential and Field of a Dipole
    4. 10.4 The Torque and the Force on a Dipole in an External Field
    5. 10.5 Atomic and Molecular Dipoles; Induced Dipole Moments
    6. 10.6 Permanent Dipole Moments
    7. 10.7 The Electric Field Caused by Polarized Matter
    8. 10.8 Another Look at the Capacitor
    9. 10.9 The Field of a Polarized Sphere
    10. 10.10 A Dielectric Sphere in a Uniform Field
    11. 10.11 The Field of a Charge in a Dielectric Medium, and Gauss’s Law
    12. 10.12 A Microscopic View of the Dielectric
    13. 10.13 Polarization in Changing Fields
    14. 10.14 The Bound-Charge Current
    15. 10.15 An Electromagnetic Wave in a Dielectric
    16. Problems
  19. Chapter 11: Magnetic Fields in Matter
    1. 11.1 How Various Substances Respond to a Magnetic Field
    2. 11.2 The Absence of Magnetic "Charge"
    3. 11.3 The Field of a Current Loop
    4. 11.4 The Force on a Dipole in an External Field
    5. 11.5 Electric Currents in Atoms
    6. 11.6 Electron Spin and Magnetic Moment
    7. 11.7 Magnetic Susceptibility
    8. 11.8 The Magnetic Field Caused by Magnetized Matter
    9. 11.9 The Field of a Permanent Magnet
    10. 11.10 Free Currents, and the Field H
    11. 11.11 Ferromagnetism
    12. Problems
  20. Appendix A: A Short Review of Special Relativity
  21. Appendix B: Radiation by an Accelerated Charge
  22. Appendix C: Superconductivity
  23. Appendix D: Magnetic Resonance
  24. Appendix E: Exact Relations among SI and CGS Units
  25. Index