Electrodynamics

Preface vTranslator's Note Part I. Fundamentals and Basic Principles of Maxwell's Electrodynamics 1. Historical Review. Action at a Distance and Action by a Field Biographical Notes 2. Introduction to the Basic Concepts of the Electromagnetic Field 3. Maxwell's Equations in Integral Form 4. The Maxwell Equations in Differential Form and the Material Constants of the Theory 1. Conductivity and Ohm's Law 2. Dielectric Constant 3. Permeability 5. Law of Conservation of Energy and Poynting Vector 6. The Role of the Velocity of Light in Electrodynamics 7. The Coulomb Field and the Fundamental Constants of Vacuum. Rational and Conventional Units A. Electrostatics B. Magnetostatics C. Rational and Conventional Units D. Final Determination of the Fundamental Constants e¿, µo in the MKSQ System 8. Four, Five, or Three Fundamental Units A. Supplementary Note on Our System of Four Units B. The Five Units MKSQP C. The Gaussian System of Only Three Units D. Supplement Regarding Other Systems of Units Part II. Derivation of the Phenomena from the Maxwell Equations 9. The Simplest Boundary-Value Problems of Electrostatics A. Charging Problems B. Induction Problems and Method of Reciprocal Radii C. Conducting Sphere in a Uniform Field D. Dielectric Sphere in a Uniform Field E. Reflection and Refraction of Lines of Force at the Boundary of a Semiinfinite Dielectric 10. Capacity and Its Connection with Field Energy A. The Plate Condenser B. Spherical Condenser C. Capacity of an Ellipsoid of Revolution and of a Straight Piece of Wire D. Energetic Definition of Capacity E. The Capacities in an Arbitrary System of Conductors 11. General Considerations on the Electric Field A. The Law of Refraction for the Lines of Force B. On the Definition of the Vectors E and D C. The Concept of Electric Polarization; the Clausius-Mossotti Formula D. Supplement to the Calculation of the Polarization E. Permanent Polarization 12. The Field of the Permanent Bar Magnet 13. General Considerations on Magnetostatics and Corresponding Boundary-Value Problems A. The Law of Refraction of the Lines of Magnetic Excitation B. Definition of the Vectors H and B, Particularly in Solid Bodies C. The Magnetization M in Any Non-Ferromagnetic Substance D. Dia- and Paramagnetism E. Soft Iron as Analog to the Electric Conductor F. Specific Boundary-Value Problems G. The Uniform Field within an Ellipsoid of Revolution H. The So-Called Demagnetization Factor 14. Some Remarks on Ferromagnetism A. The Weiss Domains B. The Electron Spin as Elementary Magnet C. Hysteresis Loop and Reversible Magnetization D. Thermodynamics 15. Stationary Currents and Their Magnetic Field. Method of the Vector Potential A. The Law of Biot-Savart B. The Magnetic Energy of the Field of Two Conductors C. Neumann's Potential as Coefficient of Mutual Induction D. The Coefficient of Selfinduction E. Self inductance of the Two-Wire Line F. General Theorem Regarding Energy Transmission by Stationary Currents 16. Ampére's Method of the Magnetic Double Layer A. The Magnetic Shell for Linear Conductors B. Magnetic Energy and Magnetic Flux C. Application to the Self inductance of a Two-Wire Line D. Application to the Electromagnetic Current Measurement of Wilhelm Weber 17. Detailed Treatment of the Field of a Straight Wire and of a Coil 18. Quasi-Stationary Currents A. Energetic Interpretation of the Wave Equation B.