| |

| |

Preface | |

| |

| |

About the Author | |

| |

| |

Introduction for Students | |

| |

| |

| |

Basic Electrostatics | |

| |

| |

Chapter Overview | |

| |

| |

| |

Introduction to the Unit | |

| |

| |

| |

What is the Nature of Charge? | |

| |

| |

| |

How Objects Become Charged | |

| |

| |

| |

Conservation of Charge | |

| |

| |

| |

Coulomb's Law | |

| |

| |

| |

Conductors and Insulators | |

| |

| |

| |

The Mystery du Jour | |

| |

| |

Two-Minute Problems | |

| |

| |

Homework Problems | |

| |

| |

Answers to Exercises | |

| |

| |

| |

Electric Fields | |

| |

| |

Chapter Overview | |

| |

| |

| |

The Field Concept | |

| |

| |

| |

An Operational Definition of the Electric Field | |

| |

| |

| |

The Electric Field of a Single Charged Particle | |

| |

| |

| |

The Superposition Principle | |

| |

| |

| |

The Electric Field of a Dipole | |

| |

| |

| |

Electrostatic Polarization | |

| |

| |

| |

The Mystery du Jour | |

| |

| |

Two-Minute Problems | |

| |

| |

Homework Problems | |

| |

| |

Answers to Exercises | |

| |

| |

| |

Continuous Charge Distributions | |

| |

| |

Chapter Overview | |

| |

| |

| |

Handling Charge Distributions | |

| |

| |

| |

Symmetry Arguments | |

| |

| |

| |

The Electric Field of a Spherical Shell | |

| |

| |

| |

The Electric Field of a Circular Plate | |

| |

| |

| |

The Electric Field of Parallel Flat Plates | |

| |

| |

| |

The Electric Field is a Form of Energy | |

| |

| |

| |

The Mystery du Jour | |

| |

| |

Two-Minute Problems | |

| |

| |

Homework Problems | |

| |

| |

Answers to Exercises | |

| |

| |

| |

Electric Potential | |

| |

| |

Chapter Overview | |

| |

| |

| |

Electric Potential | |

| |

| |

| |

Calculating [phiv] from E | |

| |

| |

| |

Calculating E from [phiv] | |

| |

| |

| |

Static Charges on Conductors | |

| |

| |

| |

Capacitance | |

| |

| |

| |

The Parallel-Plate Capacitor | |

| |

| |

| |

The Mystery du Jour | |

| |

| |

Two-Minute Problems | |

| |

| |

Homework Problems | |

| |

| |

Answers to Exercises | |

| |

| |

| |

Currents | |

| |

| |

Chapter Overview | |

| |

| |

| |

A Model of Current Flow | |

| |

| |

| |

Quantifying Current Flow | |

| |

| |

| |

Surface Charges Direct the Flow | |

| |

| |

| |

Resistance | |

| |

| |

| |

The Power Dissipated in a Conductor | |

| |

| |

| |

Discharging a Capacitor | |

| |

| |

| |

The Mystery du Jour | |

| |

| |

Two-Minute Problems | |

| |

| |

Homework Problems | |

| |

| |

Answers to Self-Tests | |

| |

| |

| |

Circuits | |

| |

| |

Chapter Overview | |

| |

| |

| |

An Idealized Model of a Battery | |

| |

| |

| |

Batteries in Series | |

| |

| |

| |

Resistors in Series | |

| |

| |

| |

Notation Conventions and Circuit Diagrams | |

| |

| |

| |

Circuit Elements in Parallel | |

| |

| |

| |

Analyzing Complex Circuits | |

| |

| |

| |

The Mystery du Jour | |

| |

| |

Two-Minute Problems | |

| |

| |

Homework Problems | |

| |

| |

Answers to Self-Tests | |

| |

| |

| |

Magnetic Fields | |

| |

| |

Chapter Overview | |

| |

| |

| |

The Phenomenon of Magnetism | |

| |

| |

| |

The Definition of the Magnetic Field Direction | |

| |

| |

| |

The Magnetic Force on Moving Charges | |

| |

| |

| |

A Review of the Cross Product | |

| |

| |

| |

The Definition of the Magnetic Field Magnitude | |

| |

| |

| |

A Free Particle in a Magnetic Field | |

| |

| |

| |

The Mystery du Jour | |

| |

| |

Two-Minute Problems | |

| |

| |

Homework Problems | |

| |

| |

Answers to Self-Tests | |

| |

| |

| |

Currents Respond to Magnetic Fields | |

| |

| |

Chapter Overview | |

| |

| |

| |

The Magnetic Force on a Wire | |

| |

| |

| |

The Magnetic Torque on a Loop | |

| |

| |

| |

Electric Motors | |

| |

| |

| |

Creating Currents in Moving Loops | |

| |

| |

| |

Eddy Currents in Moving Conductors | |

| |

| |

| |

The Mystery du Jour | |

| |

| |

Two-Minute Problems | |

| |

| |

Homework Problems | |

| |

| |

Answers to Self-Tests | |

| |

| |

| |

Currents Create Magnetic Fields | |

| |

| |

Chapter Overview | |

| |

| |

| |

The Magnetic Field of a Moving Charge | |

| |

| |

| |

The Magnetic Field of a Wire Segment | |

| |

| |

| |

The Magnetic Field of a Long, Straight Wire | |

| |

| |

| |

The Magnetic Field of a Circular Loop | |

| |

| |

| |

All Magnets Involve Circulating Charges | |

| |

| |

| |

Magnetic Symmetry Arguments | |

| |

| |

| |

The Mystery du Jour | |

| |

| |

Two-Minute Problems | |

| |

| |

Homework Problems | |

| |

| |

Answers to Self-Tests | |

| |

| |

| |

Gauss's Law | |

| |

| |

Chapter Overview | |

| |

| |

| |

What is a Field Equation? | |

| |

| |

| |

The Divergence of an Electric Field | |

| |

| |

| |

The Divergence in Terms of Tile Vectors | |

| |

| |

| |

The Divergence as a Derivative | |

| |

| |

| |

Gauss's Law | |

| |

| |

| |

Gauss's Law for the Magnetic Field | |

| |

| |

| |

The Mystery du Jour | |

| |

| |

Two-Minute Problems | |

| |

| |

Homework Problems | |

| |

| |

Answers to Self-Tests | |

| |

| |

| |

Ampere's Law | |

| |

| |

Chapter Overview | |

| |

| |

| |

The Curl of a Magnetic Field | |

| |

| |

| |

The Curl in Terms of Edge Vectors | |

| |

| |

| |

The Curl as a Derivative | |

| |

| |

| |

Ampere's Law | |

| |

| |

| |

The Curl of an Electric Field | |

| |

| |

| |

The Mystery du Jour | |

| |

| |

Two-Minute Problems | |

| |

| |

Homework Problems | |

| |

| |

Answers to Self-Tests | |

| |

| |

| |

Calculating Fields | |

| |

| |

Chapter Overview | |

| |

| |

| |

Integrating Gauss's Law | |

| |

| |

| |

Using the Integral Form of Gauss's Law | |

| |

| |

| |

The Shell Theorem | |

| |

| |

| |

Integrating Ampere's Law | |

| |

| |

| |

Using the Integral From of Ampere's Law | |

| |

| |

| |

The Field of an Axial Current Distribution | |

| |

| |

| |

The Mystery du Jour | |

| |

| |

Two-Minute Problems | |

| |

| |

Homework Problems | |

| |

| |

Answers to Self-Tests | |

| |

| |

| |

Maxwell's Equations | |

| |

| |

Chapter Overview | |

| |

| |

| |

A Loop at Rest in a Varying Magnetic Field | |

| |

| |

| |

Relativity and the Electromagnetic Field | |

| |

| |

| |

How the Fields Transform | |

| |

| |

| |

Faraday's Law | |

| |

| |

| |

The Ampere-Maxwell Relation | |

| |

| |

| |

Maxwell's Equations | |

| |

| |

Two-Minute Problems | |

| |

| |

Homework Problems | |

| |

| |

Answers to Self-Tests | |

| |

| |

| |

Induction | |

| |

| |

Chapter Overview | |

| |

| |

| |

Magnetic Flux and Induced EMF | |

| |

| |

| |

Lenz's Law | |

| |

| |

| |

Self-Induction | |

| |

| |

| |

"Discharging" an Inductor | |

| |

| |

| |

The Energy in a Magnetic Field | |

| |

| |

| |

Transformers | |

| |

| |

Two-Minute Problems | |

| |

| |

Homework Problems | |

| |

| |

Answers to Self-Tests | |

| |

| |

| |

Introduction to Waves | |

| |

| |

Chapter Overview | |

| |

| |

| |

What is a Wave? | |

| |

| |

| |

A Sinusoidal Wave | |

| |

| |

| |

The Phase Velocity of a Wave | |

| |

| |

| |

The Wave Equation | |

| |

| |

| |

The Mystery du Jour | |

| |

| |

Two-Minute Problems | |

| |

| |

Homework Problems | |

| |

| |

Answers to Self-Tests | |

| |

| |

| |

Electromagnetic Waves | |

| |

| |

Chapter Overview | |

| |

| |

| |

Electromagnetic Waves | |

| |

| |

| |

(omitted) | |

| |

| |

| |

The Energy in an Electromagnetic Wave | |

| |

| |

| |

The Power Radiated by a Charge | |

| |

| |

| |

Why the Sky is Blue | |

| |

| |

| |

Maxwell's Rainbow | |

| |

| |

Two-Minute Problems | |

| |

| |

Homework Problems | |

| |

| |

Answers to Self-Tests | |

| |

| |

Glossary | |

| |

| |

Index | |