Book:I.S. Grant/Electromagnetism/Second Edition

Subject Matter

 * Electromagnetism

Contents

 * Flow diagram


 * Preface to the Second Edition (January, 1990)
 * Preface to the First Edition (May, 1974)


 * $1$ FORCE AND ENERGY IN ELECTROSTATICS


 * $1.1$ Electric Charge


 * $1.2$ The Electric Field


 * $1.3$ Electric Fields in Matter
 * $1.3.1$ The Atomic Charge Density
 * $1.3.2$ The Atomic Electric Field
 * $1.3.3$ The Macroscopic Electric Field


 * $1.4$ Gauss' Law
 * $1.4.1$ The Flux of a Vector Field
 * $1.4.2$ The Flux of the Electric Field out of a Closed Surface
 * $1.4.3$ The Divergence of a Vector Field
 * $1.4.4$ The Differential Form of Gauss' Law


 * $1.5$ Electrostatic Energy
 * $1.5.1$ The Electrostatic Potential
 * $1.5.2$ The Electric Field as the Gradient of the Potential
 * $1.5.3$ The Dipole Potential
 * $1.5.4$ Energy Changes Associated with the Atomic Field
 * $1.5.5$ Capacitors, and Energy in Macroscopic Fields
 * $\star \ 1.5.6$ Energy Stored by a Number of Charged Conductors
 * $1$


 * $\star$ Starred sections may be omitted as they are not required later in the book.


 * $2$ DIELECTRICS


 * $2.1$ Polarization
 * $2.2$ Relative Permittivity and Electric Susceptibility
 * $2.2.1$ The Local Field
 * $2.2.2$ Polar Molecules
 * $2.2.3$ Non-polar Liquids
 * $2.3$ Macroscopic Fields in Dielectrics
 * $2.3.1$ The Volume Density of Polarization Charge
 * $2.3.2$ The Electric Displacement Vector
 * $2.3.3$ Boundary Conditions for $\mathbf D$ and $\mathbf E$
 * $2.4$ Energy in the Presence of Dielectrics
 * $\star \ 2.4.1$ Some Further Remarks about Energy and Forces
 * $2$


 * $3$ ELECTRIC FIELD CALCULATIONS


 * $3.1$ Poisson's Equation and Laplace's Equation
 * $3.1.1$ The Uniqueness Theorem
 * $3.1.2$ Electric Fields in the Presence of Free Charge
 * $3.2$ Boundaries Between Different Regions
 * $\star \ 3.3$ Boundary Conditions and Field Patterns
 * $\star \ 3.3.1$ Electrostatic Images
 * $\star \ 3.3.2$ Spheres and Spherical Cavities in Uniform External Field
 * $\star \ 3.4$ Electrostatic Lenses
 * $\star \ 3.5$ Numerical Solutions of Poisson's Equation
 * $3.6$ Summary of Electrostatics
 * $3$


 * $4$ STEADY CURRENTS AND MAGNETIC FIELDS


 * $4.1$ Electromotive Force and Conduction
 * $4.1.1$ Current and Resistance
 * $\star \ 4.1.2$ The Calculation of Resistance
 * $4.2$ The Magnetic Field
 * $4.2.1$ The Lorentz Force
 * $4.2.2$ Magnetic Field Lines
 * $4.3$ The Magnetic Dipole
 * $4.3.1$ Current Loops in External Fields
 * $4.3.2$ Magnetic Dipoles and Magnetic Fields
 * $4.4$ Ampère's Law
 * $4.4.1$ The Field of a Large Current Loop
 * $4.4.2$ The Biot-Savart Law
 * $4.4.3$ Examples of the Calculation of Magnetic Fields
 * $4.5$ The Differential Form of Ampère's Law
 * $4.5.1$ The Operator Curl
 * $4.5.2$ The Vector Curl $\mathbf B$
 * $4.5.3$ The Magnetic Vector Potential
 * $4.6$ Forces and Torques on Coils
 * $4.6.1$ Magnetic Flux
 * $4.7$ The Motion of Charged Particles in Electric and Magnetic Fields
 * $4.7.1$ The Motion of a Charged Particle in a Uniform Magnetic Field
 * $4.7.2$ Magnetic Mirrors and Plasmas
 * $\star \ 4.7.3$ Magnetic Quadrupole Lenses
 * $4$


 * $5$ MAGNETIC MATERIALS
 * $5.1$ Magnetization
 * $5.1.1$ Diamagnetism
 * $5.1.2$ Paramagnetism
 * $5.1.3$ Ferromagnetism
 * $5.2$ The Macroscopic Magnetic Field Inside Media
 * $5.2.1$ The Surface Currents on a Uniformly Magnetized Body
 * $5.2.2$ The Distributed Currents Within a Magnetized Body
 * $5.2.3$ Magnetic Susceptibility and Atomic Structure
 * $5.3$ The Field Vector $\mathbf H$
 * $5.3.1$ Ampère's Law for the Field $\mathbf H$
 * $5.3.2$ The Boundary Conditions on the Field $\mathbf B$ and $\mathbf H$
 * $5.4$ Magnets
 * $5.4.1$ Electromagnets
 * $\star \ 5.4.2$ Permanent Magnets
 * $5.5$ Summary of Magnetostatics
 * $5$


 * $6$ ELECTROMAGNETIC INDUCTION AND MAGNETIC ENERGY
 * $6.1$ Electromagnetic Induction
 * $6.1.1$ Motional Electromotive Force
 * $6.1.2$ Faraday's Law
 * $6.1.3$ Examples of Induction
 * $6.1.4$ The Differential Form of Faraday's Law
 * $6.2$ Self-inductance and Mutual Inductance
 * $6.2.1$ Self-inductance
 * $6.2.2$ Mutual Inductance
 * $6.3$ Energy and Forces in Magnetic Fields
 * $6.3.1$ The Magnetic Energy Stored in an Inductor
 * $6.3.2$ The Total Magnetic Energy of a System of Currents
 * $6.3.3$ The Potential Energy of a Coil in a Field and the Force on the Coil
 * $6.3.4$ The Total Magnetic Energy in Terms of the Fields $\mathbf B$ and $\mathbf H$
 * $6.3.5$ Non-linear Media
 * $\star \ 6.3.6$ Further Comments on Energy in Magnetic Fields
 * $6.4$ The Measurement of Magnetic Fields and Susceptibilities
 * $6.4.1$ The Measurement of Magnetic Fields
 * $6.4.2$ The Measurement of Magnetic Susceptibilities
 * $6$


 * $7$ ALTERNATING CURRENTS AND TRANSIENTS
 * $7.1$ Alternating Current Generators
 * $7.2$ Amplitude, Phase and Period
 * $7.3$ Resistance, Capacitance and Inductance in A.C. Circuits
 * $7.4$ The Phasor Diagram and Complex Impedance
 * $7.5$ Power in A.C. Circuits
 * $7.6$ Resonance
 * $7.7$ Transients
 * $7$


 * $8$ LINEAR CIRUITS
 * $8.1$ Networks
 * $8.1.1$ Kirchhoff's Rules
 * $8.1.2$ Loop Analysis, Node Analysis and Superposition
 * $8.1.3$ A.C. Networks
 * $8.2$ Audio-frequency Bridges
 * $8.3$ Impedance and Admittance
 * $8.3.1$ Input Impedance
 * $8.3.2$ Output Impedance and Thévenin's Theorem
 * $8.4$ Filters
 * $8.4.1$ Ladder Networks
 * $8.4.2$ Higher Order Filter and Delay Lines
 * $8.5$ Transformers
 * $8.5.1$ The Ideal Transformer
 * $8.5.2$ Applications of Transformers
 * $\star \ 8.5.3$ Real Transformers
 * $8$


 * $9$ TRANSMISSION LINES


 * $9.1$ Propagation of Signals in a Lossless Transmission Line
 * $9.2$ Practical Types of Transmission Line
 * $9.2.1$ The Parallel Wire Transmission Line
 * $9.2.2$ The Coaxial Cable
 * $9.2.3$ Parallel Strip Lines
 * $9.3$ Reflections
 * $\star \ 9.4$ The Input Impediance of a Mismatched Line
 * $\star \ 9.5$ Lossy Lines
 * $9$


 * $10$ MAXWELL'S EQUATIONS


 * $10.1$ The Equation of Continuity
 * $10.2$ Displacement Current
 * $10.3$ Maxwell's Equations
 * $10.4$ Electromagnetic Radiation
 * $\star \ 10.5$ The Microscopic Field Equations
 * $10$


 * $11$ ELECTROMAGNETIC WAVES


 * $11.1$ Electromagnetic Waves in Free Space
 * $11.2$ Plane Waves and Polarization
 * $11.2.1$ Plane Waves in Free Space
 * $11.2.2$ Plane Waves in Isotropic Insulating Media
 * $11.3$ Dispersion
 * $11.4$ Energy in Electromagnetic Waves
 * $11.5$ The Absorption of Plane Waves in Conductors and the Skin Effect
 * $11.6$ The Reflection and Transmission of Electromagnetic Waves
 * $11.6.1$ Boundary Conditions on Electric and Magnetic Fields
 * $11.6.2$ Reflection at Dielectric Boundaries
 * $11.6.3$ Reflection at Metallic Boundaries
 * $\star \ 11.6.4$ Polarization by Reflection
 * $\star \ 11.7$ Electromagnetic Waves and Photons
 * $11$


 * $12$ WAVEGUIDES
 * $12.1$ The Propagation of Waves Between Conducting Plates
 * $12.2$ Rectangular Waveguides
 * $12.2.1$ The $\operatorname {TE}_{01}$ Mode
 * $\star \ 12.2.2$ Further Comments on Waveguides
 * $12.3$ Cavities
 * $12$


 * $13$ THE GENERATION OF MAGNETIC WAVES


 * $13.1$ The Retarded Potentials
 * $13.2$ The Hertzian Dipole
 * $13.3$ Antennas
 * $13$


 * $14$ ELECTROMAGNETISM AND SPECIAL RELATIVITY


 * $14.1$ Introductory Remarks
 * $14.2$ The Lorentz Transformation
 * $14.3$ Charges and Fields as seen by Different Observers
 * $14.4$ Four-vectors
 * $14.5$ Maxwell's Equations in Four-vector Form
 * $14.6$ Transformation of the Fields
 * $14.7$ Magnetism as a Relativistic Phenomenon
 * $14.8$ Retarded Potentials From the Relativistic Standpoint
 * $14$


 * APPENDIX A UNITS


 * $\text A.1$ Electrical Units and Standards
 * $\text A.1.1$ The Definition of the Ampere
 * $\text A.1.2$ Calibration and Comparison of Electrical Standards
 * $\text A.2$ Gaussian Units
 * $\text A.3$ Conversion between SI and Gaussian Units


 * APPENDIX B FIELDS AND DIFFERENTIAL OPERATORS


 * $\text B.1$ The operators $\operatorname {div}$, $\grad$ and $\curl$
 * $\text B.2$ Formulae in Different Coordinate Systems
 * $\text B.3$ Identities


 * APPENDIX C THE DERIVATION OF THE BIOT-SAVART LAW


 * Solutions to Problems


 * Further Reading


 * Index


 * Physical Constants



Source work progress
* : Chapter $1$: Force and energy in electrostatics: $1.4$ Gauss's Law: $1.4.2$ The flux of the electric field out of a closed surface: $(1.15)$


 * From :


 * : Appendix $\text A$: Units


 * From :


 * : Appendix $\text B$: Fields and differential operators: $\text B.1$ The Operators Div, Grad and Curl: $(\mathbf B 1)$