Vol 2 Electricity and Magnetism berkeley physics course

  Vol 2 - Electricity and Magnetism berkeley physics course

Book information

• Book title                    : Electricity and Magnetism berkeley physics course Vol 2
• Author                         : Edward M. Purcell

File information

• File size                     : 9.3 Mb
• File format                : PDF File

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Content

CHAPTER 1
ELECTROSTATICS: CHARGES AND FIELDS

Electric Charge
Conservation of Charge
Quantization of Charge
Coulomb's Law
Energy of a System of Charges
Electrical Energy in a Crystal Lattice
The Electric Field
Charge Distributions
Flux
Gauss's Law
Field of a Spherical Charge Distribution
Field of a Line Charge
Field of an Infinite Flat Sheet of Charge
The Force on a Layer of Charge
Energy Associated with the Electric Field
Problems

CHAPTER 2
THE ELECTRIC POTENTIAL

Line Integral of the Electric Field
Potential Difference and the Potential Function
Gradient of a Scalar Function
Derivation of the Field from the Potential
Potential of a Charge Distribution
Potential of Two Point Charges
Potential of a Long Charged Wire
Uniformly Charged Disk
Divergence of a Vector Function
Gauss's Theorem and the Differential Form
of Gauss's Law
The Divergence in Cartesian Coordinates
The Laplacian
Laplace's Equation
Distinguishing the Physics from the Mathematics
The Curl of a Vector Function
Stokes' Theorem
The Curl in Cartesian Coordinates
The Physical Meaning of the Curl
Problems

CHAPTER 3
ELECTRIC FIELDS AROUND CONDUCTORS

3.1 Conductors and Insulators 88
3.2 Conductors in the Electrostatic Field 89
3.3 The General Electrostatic Problem;
Uniqueness Theorem 94
3.4 Some Simple Systems of Conductors 97
3.5 Capacitance and Capacitors 103
3.6 Potentials and Charges on Several Conductors 107
3.7 Energy Stored in a Capacitor 110
3.8 Other Views of the Boundary-Value Problem 111
Problems 113

CHAPTER 4
ELECTRIC CURRENTS

4.1 Electric Current and Current Density
4.2 Steady Currents and Charge Conservation
4.3 Electrical Conductivity and Ohm's Law
4.4 The Physics of Electrical Conduction
4.5 Conduction in Metals

Semiconductors
Circuits and Circuit Elements
Energy Dissipation in Current Flow
Electromotive Force and the Voltaic Cell
Networks with Voltage Sources
Variable Currents in Capacitors and Resistors
Problems

CHAPTER 5
THE FIELDS OF MOVING CHARGES 169

5.1 From Oersted to Einstein 170
5.2 Magnetic Forces 171
5.3 Measurement of Charge in Motion 174
5.4 Invariance of Charge 176
5.5 Electric Field Measured in Different Frames
of Reference 178
5.6 Field of a Point Charge Moving with
Constant Velocity 182
5.7 Field of a Charge That Starts or Stops 187
5.8 Force on a Moving Charge 190
5.9 Interaction between a Moving Charge and
Other Moving Charges 193
Problems 200

CHAPTER 6
THE MAGNETIC FIELD 207

6.1 Definition of the Magnetic Field 208
6.2 Some Properties of the Magnetic Field 214
6.3 Vector Potential 220
6.4 Field of Any Current-Carrying Wire 223
6.5 Fields of Rings and Coils 226
6.6 Change in B at a Current Sheet 231
6.7 How the Fields Transform 235
6.8 Rowland's Experiment 241
6.9 Electric Conduction in a Magnetic Field:
The Hall Effect 241 Problems 245

CHAPTER 7
ELECTROMAGNETIC INDUCTION 255

7.1 Faraday's Discovery 256
7.2 A Conducting Rod Moving through a Uniform
Magnetic Field 258
A Loop Moving through a Nonuniform
Magnetic Field
A Stationary Loop with the Field Sources Moving
A Universal Law of Induction
Mutual Inductance
A Reciprocity Theorem
Self -inductance
A Circuit Containing Self-inductance
Energy Stored in the Magnetic Field
Problems

CHAPTER 8
AL TERNA TING-CURRENT CIRCUITS

8.1 A Resonant Circuit
8.2 Alternating Current
8.3 Alternating-Current Networks
8.4 Admittance and Impedance
8.5 Power and Energy in Alternating-Current
Circuits
Problems

CHAPTER 9
MAXWELL'S EQUATIONS
AND ELECTROMAGNETIC WAVES

9.1 "Something Is Missing" 324
9.2 The Displacement Current 328
9.3 Maxwell's Equations 330
9.4 An Electromagnetic Wave 331
9.5 Other Waveforms; Superposition of Waves 334
9.6 Energy Transport by Electromagnetic Waves 338
9.7 How a Wave Looks in a Different Frame 341
Problems 343

CHAPTER 10
ELECTRIC FIELDS IN MATTER

Dielectrics
The Moments of a Charge Distribution
The Potential and Field of a Dipole
The Torque and the Force
on a Dipole in an External Field
Atomic and Molecular Dipoles; Induced Dipole
Moments
Permanet Dipole Moments
The Electric Field Caused by Polarized Matter
Another Look at the Capacitor
The Field of a Polarized Sphere
A Dielectric Sphere in a Uniform Field
The Field of a Charge in a Dielectric Medium,
and Gauss's Law
A Microscopic View of the Dielectric
Polarization in Changing Fields
The Bound-Charge Current
An Electromagnetic Wave in a Dielectric
Problems

CHAPTER 11
MAGNETIC FIELDS IN MATTER

How Various Substances Respond to a
Magnetic Field
The Absence of Magnetic "Charge"
The Field of a Current Loop
The Force on a Dipole in an External Field
Electric Currents in Atoms
Electron Spin and Magnetic Moment
Magnetic Susceptibility
The Magnetic Field Caused by
Magnetized Matter
The Field of a Permanent Magnet
Free Currents, and the Field H
Ferromagnetism
Problems

Appendix A:
A Short Review of Special Relativity

Appendix B:
Radiation by an Accelerated Charge

Appendix C:
Superconductivity

Appendix D:
Magnetic Resonance

Appendix E:
Exact Relations among SI and CGS Units

Index