Classical electrodynamics : from image charges to the photon mass and magnetic monopoles / Francesco Lacava.

Format:

Book

Author/Creator:

Lacava, Francesco, author.

Series:

Undergraduate lecture notes in physics

Language:

English

Subjects (All):

Electrodynamics.

Genre:

Electronic books.

Physical Description:

1 online resource (xviii, 374 pages) : illustrations (some color).

Edition:

Second edition.

Place of Publication:

Cham : Springer, [2022]

Summary:

This book presents an overview of Classical Electrodynamics. Its second edition includes new chapters that pick up where the material from the first edition left off. The image method introduced in the first edition is expanded to series of images, using simple examples like a point charge or a charged wire between two grounded plates, as well as more relevant examples such as two charged conducting spheres and the force between them. The topic of complex functions is broadened with the introduction of conformal mapping. One new chapter introduces the method of separation of variables, including in Cartesian coordinates (box with sides at fixed voltages), in spherical coordinates (dielectric and conducting sphere, potential of a charged ring), in cylindrical coordinates (conducting wedge, cylinder in uniform field). It also presents the potentials and the fields for a point charge in motion, radiation by a point charge and by a dipole, radiation reaction. Two other chapters present updated lessons on the mass of the photon and search for monopoles. Examples and/or solvable problems are provided throughout.

Contents:

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

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

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

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

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

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

Notes:

Includes bibliographical references and index.

Online resource; title from PDF title page (SpringerLink, viewed October 13, 2022).

ISBN:

9783031050992

3031050991

OCLC:

1347020811

Access Restriction:

Restricted for use by site license.