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Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition
book

Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition

by Andrei D. Polyanin, Vladimir E. Nazaikinskii
December 2015
Intermediate to advanced content levelIntermediate to advanced
1643 pages
59h 33m
English
Chapman and Hall/CRC
Content preview from Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition
12.17. Maxwell Equations (Electromagnetic Field Equations) 1109
The second and third equations in (1) imply the continuity equation
ρ
t
+ div j = 0,
which expresses the charge conservation law.
According to experimental data, the vector fields E, H, D, B, and j are not indepen-
dent and should be supplemented with the material equations (constitutive relations) of the
medium. For isotropic linear media, these equations are
D = εE, B = µH, j = λE, (2)
where ε and µ are the dielectric permittivity and the magnetic permeability of the medium
and λ is the conductance of the medium. For a perfect dielectric, i.e., for a medium that
does not conduct current
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Publisher Resources

ISBN: 9781466581494