Electricity and Magnetism

Cover

Electricity and Magnetism

Copyright (c) 1963, 1964, 1965 by Education Development
     Copyright (c) 2013 by Benjamin Crowell and others as named
          http://creativecommons.org/publicdomain/zero/1.0/.
     ISBN: 0070048592
     ISBN: 978-0070048591

Contents

Chapter 1  Electrostatics: charges and fields

     1.1 Electric charge

     1.2 Conservation of charge

     1.3 Quantization of charge

     1.4 Coulomb's law

     1.5 Energy of a system of charges

     1.6 Electrical energy in a crystal lattice

     1.7 The electric field

     1.8 Charge distributions

     1.9 Flux

     1.10 Gauss's law

     1.11 Field of a spherical charge distribution

     1.12 Field of a line charge

     1.13 Field of an infinite at sheet of charge

Chapter 2  The electric potential

     2.1 Line integral of the electric field

     2.2 Potential di erence and the potential function

     2.3 Gradient of a scalar function

     2.4 Derivation of the field from the potential

     2.5 Potential of a charge distribution

          2.5.1 Potential of two point charges

          2.5.2 Potential of a long charged wire

     2.6 Uniformly charged disk

     2.7 The force on a surface charge

     2.8 Energy associated with an electric field

     2.9 Divergence of a vector function

     2.10 Gauss's theorem and the di erential form of Gauss's law

     2.11 The divergence in Cartesian coordinates

     2.12 The Laplacian

     2.13 Laplace's equation

     2.14 Distinguishing the physics from the mathematics

     2.15 The curl of a vector function

     2.16 Stokes' theorem

     2.17 The curl in Cartesian coordinates

     2.18 The physical meaning of the curl

Chapter 3  Electric fields around conductors

     3.1 Conductors and insulators

     3.2 Conductors in the electrostatic field

     3.3 The general electrostatic problem; uniqueness theorem

     3.4 Some simple systems of conductors

     3.5 Capacitors and capacitance

     3.6 Potentials and charges on several conductors

     3.7 Energy stored in a capacitor

     3.8 Other views of the boundary-value problem

Chapter 4  Electric currents

     4.1 Charge transport and current density

     4.2 Stationary currents

     4.3 Electrical conductivity and Ohm's law

     4.4 A model for electrical conduction

     4.5 Where Ohm's law fails

     4.6 Electrical conductivity of metals

     4.7 Resistance of conductors

     4.8 Circuits and circuit elements

     4.9 Energy dissipation in current ow

     4.10 Electromotive force and the voltaic cell

     4.11 Variable currents in capacitors and resistors

Chapter 5  The fields of moving charges

     5.1 From Oersted to Einstein

     5.2 Magnetic forces

     5.3 Measurement of charge in motion

     5.4 Invariance of charge

     5.5 Electric field measured in different frames of reference

     5.6 Field of a point charge moving with constant velocity

     5.7 Field of a charge that starts or stops

     5.8 Force on a moving charge

     5.9 Interaction between a moving charge and other moving charges

Chapter 6  The magnetic field

     6.1 Definition of the magnetic field

     6.2 Some properties of the magnetic field

     6.3 Vector potential

     6.4 Field of any current-carrying wire

     6.5 Fields of rings and coils

     6.6 Change in B at a current sheet

     6.7 How the fields transform

     6.8 Rowland's experiment

     6.9 Electric conduction in a magnetic field: the Hall effect

Chapter 7  Electromagnetic induction and Maxwell's equations

     7.1 Faraday's discovery

     7.2 A conducting rod moves through a uniform magnetic field

     7.3 A loop moves through a nonuniform magnetic field

     7.4 A stationary loop with the field source moving

     7.5 A universal law of induction

     7.6 Mutual inductance

     7.7 A "reciprocity" theorem

     7.8 Self-inductance

     7.9 A circuit containing self-inductance

     7.10 Energy stored in the magnetic field

     7.11 "Something is missing"

     7.12 The displacement current

     7.13 Maxwell's equations

Chapter 8  Alternating-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

Chapter 9  Electric fields in matter

     9.1 Dielectrics

     9.2 The moments of a charge distribution

     9.3 The potential and field of a dipole

     9.4 The torque and the force on a dipolein an external field

     9.5 Atomic and molecular dipoles; induced dipole moments

     9.6 The polarizability tensor

     9.7 Permanent dipole moments

     9.8 The electric field caused by polarized matter

     9.9 The capacitor filled with dielectric

     9.10 The field of a polarized sphere

     9.11 A dielectric sphere in a uniform field

     9.12 The field of a charge in a dielectric medium, and Gauss's law

     9.13 The connection between electric susceptibility and atomic polarizability

     9.14 Energy changes in polarization

     9.15 Dielectrics made of polar molecules

     9.16 Polarization in changing fields

     9.17 The bound-charge current

Chapter 10  Magnetic fields in matter

     10.1 How various substances respond to amagnetic field

     10.2 The absence of magnetic "charge"

     10.3 The field of a current loop

     10.4 The force on a dipole in an external field

     10.5 Electric currents in atoms

     10.6 Electron spin and magnetic moment

     10.7 Magnetic susceptibility

     10.8 The magnetic field caused by magnetized matter

     10.9 The field of a permanent magnet

     10.10 Free currents, and the field H

     10.11 Ferromagnetism

Index