| |
| |
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 | |