Intro
Preface to the Second Edition
Preface to the First Edition
Contents
1 Classical Electrodynamics: A Short Review
1.1 Coulomb's Law and the First Maxwell Equation
1.2 Charge Conservation and Continuity Equation
1.3 Absence of Magnetic Charges in Nature and the Second Maxwell Equation
1.4 Laplace's Laws, Biot and Savart Law and the Steady Fourth Maxwell Equation
1.5 Faraday's Law and the Third Maxwell Equation
1.6 Displacement Current and the Fourth Maxwell Equation
1.7 Maxwell Equations in Vacuum
1.8 Maxwell Equations in Matter

1.9 Electrodynamic Potentials and Gauge Transformations
1.10 Electromagnetic Waves
References
2 Multipole Expansion of the Electrostatic Potential
2.1 The Potential of the Electric Dipole
2.2 Interaction of the Dipole with an Electric Field
2.3 Multipole Expansion for the Potential of a Distribution of Point Charges
2.4 Properties of the Electric Dipole Moment
2.5 The Quadrupole Tensor
2.6 A Bidimensional Quadrupole
Problems
Solutions
References
3 The Method of Image Charges
3.1 The Method of Image Charges
3.2 Point Charge and Conductive Plane

3.3 Point Charge and Conducting Sphere
3.3.1 Force on a Point Charge Near a Charged Conducting Sphere
3.4 Conducting Sphere in a Uniform Electric Field
3.5 A Charged Wire Near a Cylindrical Conductor
Problems
Solutions
References
4 Image Charges in Dielectrics
4.1 Electrostatics in Dielectric Media
4.2 Point Charge Near the Plane Separating Two Dielectric Media
4.3 Dielectric Sphere in an External Uniform Electric Field
Problems
Solutions
References
5 Series of Image Charges
5.1 Point Charge Between Two Grounded Plates

5.2 Two Separated Charged Conductive Spheres
5.3 Force Between Two Charged Spherical Conductors
5.4 A Charged Conductive Sphere and a Conductive Plate at Ground
5.5 Dielectric Sphere and Point Charge
Problems
Solutions
References
6 Functions of Complex Variables and Electrostatics
6.1 Analytic Functions of Complex Variable
6.2 Electrostatics and Analytic Functions
6.3 The Function f left parenthesis z right parenthesis equals z Superscript muf(z)=zµ
6.3.1 The Quadrupole: f left parenthesis z right parenthesis equals z squaredf(z)=z2

6.3.2 The Conductive Wedge at Fixed Potential
6.3.3 Edge of a Thin Plate
6.4 The Charged Wire: f left parenthesis z right parenthesis equals log zf(z)= logz
Problems
Solutions
References
7 Conformal Mapping in Electrostatics
7.1 Conformal Mapping
7.2 Conformal Mapping and Harmonic Functions
7.3 Conformal Mapping and Bilinear Electrostatic Problems
7.3.1 Charged Wire Between Two Grounded Plates
7.4 The Linear-Fractional Function
7.4.1 The Split Cylinder: Two Opposite Half Cylinders at Different Potentials
7.5 The Schwarz-Christoffel Transformation