A Student's Guide to Maxwell's EquationsCambridge University Press, 10. jan. 2008 - 134 sider Gauss'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. |
Indhold
Gausss law for magnetic fields | 43 |
Faradays law | 58 |
The AmpereMaxwell law | 83 |
From Maxwells Equations to the wave equation | 112 |
Maxwells Equations in matter | 125 |
Further reading | 131 |
Almindelige termer og sætninger
Ampere Ampere–Maxwell law Ampere’s law Amperian loop bound charge capacitor changing magnetic field charge density closed surface component curl current density cylinder d~l ¼ defined definition dielectric differential form direction displacement current distance divergence theorem dot product electric charge electric current electric field lines electric flux enclosed charge enclosed current Example Faraday’s law field field points find the electric first fluid flux form of Faraday’s form of Gauss’s free space Gauss’s law gradient here’s induced electric field integral form law for electric law for magnetic left side line integral magnetic field lines magnitude Maxwell Maxwell’s Equations nda¼ negative charge path permeability permittivity of free perpendicular plates positive charge problems radius rate of change right side right-hand rule scalar field segment shown in Figure solenoid special Gaussian surface specified sphere spherical straight wire surface integral surface normal understand unit normal vector field volume zero
Populære passager
Side i - He is a member of the American Physical Society (APS), the American Association of Physics Teachers (AAPT), and the Institute of Electrical and Electronics Engineers (IEEE).