A development of the equations of electromagnetism in material continua
The book derives the equations of electrostatics, magnetostatics and electromagnetics in material continua from the fundamental statements of Coulomb, Ampére, Faraday and Maxwell in a careful systematic way. The book is intended to provide graduate students in mechanics and applied mathematics, as well as faculty and appropriate research workers, with an understanding of electromagnetism and prepare them for studies on the interaction of the electric and magnetic fields with deformable solid continua. Unusually careful attention is given to the description of the stored electric and magnetic energies and the prescription for the body force exerted by the fields on the material continuum. Much of the approach to the development of the equations is original and more systematic and convincing than others.
7 pages matching Stokes theorem in this book
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Electric Field Equations in Charged Regions
Electric Field Equations in Charged and Polarized Regions
11 other sections not shown
body force boundary conditions capacitor charge and polarization charge density charged region clear Clearly closed surface consequence consider continuous distributions continuum current density current elements current loop defined dielectric differential equations dipole moments distribution of current divergence theorem electric charge electric field electromagnetic field energy density expression field point field theory field variables field vectors finite force density force exerted free-space Hence indicial notation inertial system integral forms interaction jump conditions linear Lorentz transformation macroscopic magnetic dipole magnetic induction field magnetic induction vector magnetic vector potential magnetized region magnetostatic energy magnetostatic field material continua Maxwell's equations nonlinear noted obtain point charges point dipole polarization density Poynting's theorem Q circuit scalar shown in Figure spatial derivatives stationary steady currents Stokes theorem substituting surface charge surfaces of discontinuity unprimed vanishes vector field velocity write written yields