Steady Electric Fields and Currents

Steady Electric Fields and Currents, Volume 1 is an introductory text to electromagnetism and potential theory. This book starts with the fields associated with stationary charges and unravels the stationary condition to allow consideration of the flow of steady currents in closed circuits.
The opening chapter discusses the experimental results that require mathematical explanation and discussion, particularly those referring to phenomena that question the validity of the simple Newtonian concepts of space and time. The subsequent chapters consider steady-state fields, electrostatics, dielectrics, energy theorems, and uniqueness theorems. The concluding chapter examines the steady flow of electric currents in closed circuits.
Undergraduate students with electromagnetism course will greatly benefit from this book.

Contenu

Preface to Volume 1

1. Introductory Concepts
   1.1 Preliminary Physical Ideas
   1.2 Method and Aim
   1.3 Scheme of Development
   1.4 Systems of Units
2. The Inverse Square Law in Electrostatics
   2.1 Charge
   2.2 The Electric Field and Electric Potential
   2.3 Electric Displacement
   2.4 Coulomb's Inverse Square Law
   2.5 Two-Dimensional Fields
   2.6 The Field at Internal Points
   2.7 Gauss's Theorem
   2.8 Discontinuities and Boundary Conditions
   2.9 Applications of Green's Theorem
   2.10 Dipoles and Multipoles
   2.11 Double Layers
   2.12 Volume Distributions of Dipoles: Polarization
3. Conductors in the Electrostatic Field
   3.1 The Property of a Conductor
   3.2 Some General Theorems
   3.3 Systems of Conductors: Capacitance
   3.4 Forces and Energy
   3.5 Criticisms of the Expression for Energy
   3.6 The Location of Electrostatic Energy
4. Dielectrics
   4.1 The Effects of a Dielectric
   4.2 The General Theory of Dielectrics
   4.3 The Uniqueness and Reciprocal Theorems
   4.4 The Energy of the Electrostatic Field
   4.5 Minimum Energy Theorems
   4.6 The Electrostatic Stress System: Maxwell's Stress Tensor
5. The Steady Flow of Electric Currents
   5.1 Introduction
   5.2 The Equation of Continuity (Conservation) of Charge
   5.3 Ohm's Law
   5.4 Boundary Conditions and Discontinuities
   5.5 The Rate of Heat Production
   5.6 Electromotive Force
   5.7 The Analogy with the Electrostatic Field
   5.8 Integral Theorems
   5.9 Networks of Linear Conductors
   5.10 Integral Theorems Applied to Networks
   Answers to the Exercises
   Index