For time-varying fields in the presence of a dielectric, the Maxwell equations take on the following forms. In cgs,
where D is the effective electric field inside the dielectric, is the (free) charge density, E is the imposed electric field, B is the magnetic field, H is the effective magnetic field inside the dielectric, c is the speed of light, and J is the charge density.
In MKS,
where is again the permeability of free space and is the permittivity of free space.
(1)
(2)
(3)
(4)
where D is the effective electric field inside the dielectric, is the (free) charge density, E is the imposed electric field, B is the magnetic field, H is the effective magnetic field inside the dielectric, c is the speed of light, and J is the charge density.
In MKS,
(5)
(6)
(7)
(8)
where is again the permeability of free space and is the permittivity of free space.
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