A Student's Guide to Maxwell's EquationsGauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere–Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter. |
Common terms and phrases
Ampere–Maxwell law Ampere's law Amperian loop amplitude applied bound charge capacitor changing magnetic field changing magnetic flux charge density closed surface curl cylinder determine dielectric differential form displacement current distance divergence theorem dot product electric and magnetic electric charge electric current electric field lines electric flux electromagnetic enclosed charge enclosed current Example expanded view Faraday’s law find the electric find the flux find the magnetic force form of Faraday’s form of Gauss's free space Gauss’s Gauss's law gradient induced electric field induced emf integral form law for electric law for magnetic left side line integral magnetic field lines magnetic flux magnitude Maxwell Maxwell’s Maxwell's Equations meaning negative charge nonzero number of field operator paddlewheel path permittivity of free perpendicular positive charge radius rate of change right side scalar field segment shown in Figure solenoid special Gaussian surface sphere surface integral understand vector field volume wave equation zero