1st Edition

Electricity and Magnetism

ISBN 9781482206357
Published December 1, 2014 by CRC Press
418 Pages 338 B/W Illustrations

USD $89.95

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Book Description

The final volume in a three-part series, Electricity and Magnetism provides a detailed exposition of classical electric and magnetic fields and analyses of linear electric circuits. The book applies the principles of classical mechanics to systematically reveal the laws governing observed electric and magnetic phenomena. The text culminates in Maxwell's Equations, which, although only four in number, can completely describe all physical aspects of electromagnetism.

The specific topics covered in Electricity and Magnetism include:

  • Electric force, field, and potential
  • Gauss's Law for Electric Fields
  • Capacitance and networks of capacitors
  • Electric current
  • Resistance and networks of resistors
  • Kirchoff's Rules
  • Steady state and time-dependent DC circuit dynamics
  • Magnetic force and field
  • Production of magnetic fields
  • Ampère's Law
  • Gauss's Law for Magnetic Fields
  • Faraday's Law
  • Induction and inductance
  • AC-driven circuit dynamics and energetics
  • Maxwell's Equations and their plane-wave vacuum solutions

This text extends the rigorous calculus-based introduction to classical physics begun in Elements of Mechanics. It may be studied independently of the second volume, Properties of Materials. With more than four hundred and fifty problems included, it can serve as a primary textbook in an introductory physics course, as a student supplement, or as an exam review for graduate or professional studies.

Table of Contents

List of Examples


Electricity and Magnetism

Electric Charge, Coulomb's Law, Electric Field

Electric Dipole, Motion of Charged Particles

Continuous Charge Distributions

Above a Uniformly Charged Rectangular Plate

Electric Flux and Gauss's Law

More Gauss's Law

Electrostatic Implications and Potential Energy

Potentially Fun!

Electrostatic Potential Energy

Rife with Potential

Potentials, Fields, and All That


Capacitors in Series and Parallel

Energetics of Capacitance


Energetics of Dipoles

Electric Current

Electric Current Density, Ohm's Law, and Resistance

Resistance Is Not Futile

Resistors in Series and Parallel

DC Circuits Mélange

Timely Applications of Kirchoff's Rules

More RC Circuits and Segue to Magnetism

The Lorentz Force

Current, Lorentz Force, and Torque

Magnetic Torque on Current Loops

Back to Moving Charged Particles

The Hall Effect

M-M-More Magnetic Sources

Interacting Wires and Ampère's Law

Ampère and Solenoids

The General Form of Ampère's Law

Gauss's Law for Magnetism

Magnetism in Matter

Faraday's Law

Motional EMF


RL Circuits

Mutual Inductance

LC Circuits

RCL Circuits

AC Circuits

Inductive and Capacitive AC Circuits

RCL AC Circuits

Power Dissipation in RCL AC Circuits

The Pinnacle: Maxwell's Equations

Analysis of Maxwell's Equations in Vacuum

Wavelike Solutions of Maxwell's Vacuum Equations

The Poynting Vector

Electromagnetic Waves Carry Momentum, Too


Electricity and Magnetism Problems

Electric Field and Potential Problems

Capacitance Problems

DC Circuits Problems

Lorentz (Magnetic) Force Problems

Magnetic Field Production Problems

Faraday-Induction Problems

AC Circuits Problems

Maxwell's Equations Problems

List of Symbols


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P.F. Kelly is an associate professor of physics at Ave Maria University, Florida, USA. He previously held a faculty position at North Dakota State University, Fargo, USA. Prior to this, he undertook post-doctoral studies at the Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, USA, and at the Winnipeg Institute for Theoretical Physics, University of Winnipeg, Manitoba, Canada. He holds a B.Sc from the University of Waterloo, Ontario, Canada, and an M.Sc and Ph.D from the University of Toronto, Ontario, Canada. His areas of interest include theoretical particle, gravitational, mathematical, and computational physics.


More from This Author

About Elements of Mechanics by P.F. Kelly

"This textbook is unique in many respects. It gives the reader a sense of being part of a lively and personal conversation about physics, engaging your attention from the first page. Advanced mathematical concepts are introduced as a prelude to further study while still maintaining the appropriate level for a first-year calculus-based course. But the most innovative feature of this text is the emphasis on thinking and reasoning about physics starting from basic principles. As a teacher, I often have the goal of developing critical analysis skills in my students; this textbook shows the way."
—Dr. Tom Steele, University of Saskatchewan, Saskatoon, Canada

"In this delightfully fresh take on the well-worn subject of classical Newtonian mechanics, Patrick Kelly adopts the informal approach of a classroom teacher, using a wealth of thoroughly worked examples to illustrate and develop the concepts introduced at each step of the journey on which his readers are taken. The journey actually covers a lot of ground. Starting from basic kinematical notions, such as average velocity, we are eventually led to appreciate ideas (for example, the fact that orbits under an inverse-square law of force are conic sections) that are quite sophisticated at this introductory level.

Students faced with learning, more or less simultaneously, both basic physics and essential mathematical tools, such as calculus, will appreciate the deftness with which Kelly uses each set of ideas to illuminate the other. Readers will quickly warm to his engaging, and distinctively personal style, with its frequent flashes of humour, and will value the depth of understanding afforded both by the many sidelights he offers and by the alternative treatments he gives for many of the examples from complementary points of view. Those who work systematically through the text, and at least a selection of the 428 problems that supplement it, will gain not only the ability to tackle standard problems with confidence but also the sense that this territory is now home turf."
—Ian D. Lawrie, University of Leeds, UK, and author of A Unified Grand Tour of Theoretical Physics, Third Edition (UnifiedGrandTours.org)