Maxwells Equations in Conducting Media - wykład

Maxwells Equations in Conducting Media We quote first the constituent relations to see whether it is appropriate to use E and H
or whether we need D and B as well. These are
D = ²E
B = μH
J = σE
(9.1)
It is appropriate to continue to use E and H so Maxwell's equations are
∇ × E = −jω (μH)
∇ ×H = j(ω² − jσ)E
∇ · E = ρ/²
∇ ·H = 0
(9.2)
An argument will be provided in lectures to show that the right hand side of the third
equation is zero when ω² and σ are both different from zero. This means that although
currents will flow, they will do so without having a divergence which can create a time
varying charge density. Thus Maxwell's equation's become
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