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This polarization is the displacement current as it was originally conceived by Maxwell. Maxwell made no special treatment of the vacuum, treating it as a material medium. For Maxwell, the effect of P was simply to change the relative permittivity ε r in the relation D = ε 0 ε r E. The modern justification of displacement current is ...
Maxwell's addition states that magnetic fields also relate to changing electric fields, which Maxwell called displacement current. The integral form states that electric and displacement currents are associated with a proportional magnetic field along any enclosing curve.
The size of the displacement current is dependent on the frequency ω of the applied field E; there is no displacement current in a constant field. In this formalism, the complex permittivity is defined as: [20] [21]
Displacement current; Eddy current; Electromagnetic field; ... By the assumption of spherical symmetry, the integrand is a constant which can be taken out of the ...
ε 0 is the electric constant (a universal constant, also called the permittivity of free space) (ε 0 ≈ 8.854 187 817 × 10 −12 F/m) This relation is known as Gauss's law for electric fields in its integral form and it is one of Maxwell's equations.
In physics, the electric displacement field (denoted by D), also called electric flux density, is a vector field that appears in Maxwell's equations. It accounts for the electromagnetic effects of polarization and that of an electric field , combining the two in an auxiliary field .
The second term on the right hand side is the displacement current as originally conceived by Maxwell, associated with the polarization of the individual molecules of the dielectric material. Maxwell's original explanation for displacement current focused upon the situation that occurs in dielectric media.
These include the Boltzmann constant, which gives the correspondence of the dimension temperature to the dimension of energy per degree of freedom, and the Avogadro constant, which gives the correspondence of the dimension of amount of substance with the dimension of count of entities (the latter formally regarded in the SI as being dimensionless).