Electromagnetic Fields and Interactions

by Becker, Richard

• ISBN13: 9780486642901
• ISBN10: 0486642909
• Edition: Unabridged
• Format: Paperback
• Copyright: 2012-05-17
• Publisher: Dover Publications

Summary

This classic introduction to electromagnetic fields, thoroughly revised in 1964 and available here in a one-volume edition, includes an invaluable self-contained section on quantum theory. Problems with solutions. 148 illustrations. Reprint of 1964 ed.

Author Biography

Richard Becker (1887–1955) was a German theoretical physicist  who made contributions to the fields of thermodynamics, statistical mechanics, superconductivity, and quantum electrodynamics. A student of Max Born and Albert Einstein, he received his PhD under the tutelage of Max Planck.

Table of Contents

PART A. Introduction to vector and tensor calculus
  Chapter AI. Vectors
  1 Definition of a vector
  2 Addition and subtraction of vectors
  3 "Unit vectors, base vectors, components"
  4 The inner or scalar product
  5 The outer or vector product
  6 Products of three and four vectors
  7 Differentiation of vectors with respect to a parameter
  Chapter AII. Vector fields
  8 Definition of a vector field
  9 The space derivative of a field quantity. The gradient
  10 The strength of a source field and its divergence. Gauss's theorem and Green's theorem
  11 The line integral and the curl. Stokes's theorem
  12 Calculation of a vector field from its sources and vortices
  13 Orthogonal curvillinear coordinates
  Chapter AIII. Tensors
  14 Definition of a tensor. The anti-symmetric tensor
  15 The symmetric tensor and its invariants. The deviator
PART B. The Electrostatic field
  Chapter BI. Electric charge and the electrostatic field in vacuum
  16 Electric charge
  17 The elementary electrical quantum
  18 Electric field strength and the electric potential
  19 Coulomb's law. The flux of electric force
  20 The distribution of electricity on conductors
  21 The capacitance of spherical and parallel-plate capacitors
  22 The prolate ellipsoid of revolution
  23 Induced charges
  24 The electric field at a great distance from field-producing charges. The dipole and quadrupole field
  Chapter BII. Electrostatics of dielectrics
  25 The parallel-plate capacitor with dielectric insulation
  26 Dielectric polarization
  27 The fundamental equations of electrostatics for insulators. The Maxwell displacement vector
  28 Point charge opposite a semi-infinite dielectric
  29 Dielectric sphere in a uniform field
  30 The homogeneously polarized ellipsoid
  Chapter BIII. Force effects and energy relations in the electrostatic field
  31 Systems of point charges in free space
  32 Field energy when conductors and insulators are present. Thomson's theorem
  33 Thermodynamical considerations of the field energy
  34 Force effects in the electrostatic field calculated by means of the field energy; several simple examples
  35 General calculation of the force on an insulator in an electric field
  36 The Maxwell stresses
  37 Electric force effects in homogeneous liquids and gases
PART C. Electric current and the magnetic field
  Chapter CI. The law of the electric current
  38 Current strength and currrent density
  39 Ohm's law
  40 Joule heating
  41 Impressed forces. The galvanic chain
  42 Inertia effects of electrons in metals
  Chapter CII. Force effects in the magnetic field
  43 The magnetic field vectors
  44 The force on a current-carrying conductor. The Lorentz force
  45 The Faraday law of induction
  Chapter CIII. Magnetic fields of currents and permanent magnets
  46 The magnetic field of steady currents. Oersted's law
  47 The ring current as a magnetic dipole
  48 Magnetization and magnetic susceptibility
  Chapter CIV. Electrodynamics of quasi-stationary currents
  49 Self-induction and mutual induction
  50 Circuit with resistance and self-inductance. The vector diagram
  51 "Circuit with resistance, self-inductance and capacitance"
  52 The energy theorem for a system of linear currents
PART D. The general fundamental equations of the electromagnetic field
  Chapter DI. Maxwell's theory for stationary media
  53 Completing the Maxwell equations
  54 The energy theorem in Maxwell's theory. The Poynting vector
  55 Magnetic field energy. Forces in the magnetic field
  56 The momentum theorem in Maxwell's theory. The momentum density of the radiation field
  Chapter DII. Electromagnetic waves
  57 Electromagnetic waves in a vacuum
  58 Plane waves in stationary homogeneous media
  59 The reflection of electromagnetic waves at boundary surfaces
  60 Current displacement or the skin effect
  61 Electromagnetic waves along ideal conductors
  62 Waves along wires of finite resistance
  63 Waves in hollow conductors
  Chapter DIII. The electromagnetic field of a given distribution of charge and current
  64 The field of uniformly moving charged particle
  65 Energy and momentum for a uniformly moving charged particle
  66 The electromagnetic potential of an arbitrary distribution of charge and current
  67 The Hertz solution for the oscillating dipole
  68 The radiation of electromagnetic waves by an emitter
  69 The field of an arbitrarily moving point charge
  Chapter DIV. The field equations in slowly moving non-magnetic media
  70 Derivation of the field equations
  71 Experimental confirmation of the basic equations
  72 Fizeau's investigation
  73 The Michelson experiment
  74 Search for an explanation of the negative result of the Michaelson experiment
PART E. The theory of relativity
  Chapter EI. The physical basis of relativity theory and its mathematical aids
  75 Revision of the space-time concept
  76 The Lorentz transformation
  77 Consequences of the Lorentz transformation
  78 Programme of the special theory of relativity
  79 The general Lorentz group
  80 Four-vectors and four-tensors
  Chapter EII. The relativistic electrodynamics of empty space
  81 The field equations
  82 The force density
  83 The energy-momentum tensor of the electromagnetic field
  84 The plan light-wave
  85 The radiation field of a moving electron
  Chapter EIII. The relativistic electrodynamics of material bodies
  86 The field equation
  87 The moments tensor
  88 Unipolar induction
  Chapter EIV. Relativistic mechanics
  89 The mechanics of mass points
  90 The inertia of energy
  91 Mechanical stresses
PART F. Exercise problems and solutions
Chapter FI. Exercises
  A. Vector and tensor calculus
  B. The electrostatic field
  C. The electric current and the magnetic field
  D. The fundamental equations of the electromagnetic field
  E. Relativity theory
  Chapter FII. Solutions
  A. Vector and tensor calculus
  B. The electrostatic field
  C. The electric current and the magnetic field
  D. The fundamental equations of the electromagnetic field
  E. Relativity theory
PART G. List of formulae
  Chapter GI. Vector and tensor calculus
  1 Vector algebra
  2 Vector analysis
  3 Tensor algebra
  Chapter GII. Electrodynamics
  1 The field equations and the constitutive equations
  2 The material constants
  3 Energy and force expressions
  4 Wave propagation
  5 Electrotechnical concepts
  6 Conversion table from MKSA units to the Gaussian system
  Chapter GIII. Relativity theory
Index