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IEVref: | 121-11-62 | ID: | |

Language: | en | Status: Standard | |

Term: | Maxwell's equations, pl | ||

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Definition: | four equations relating the four vector quantities that determine the electromagnetic field in a material medium or in a vacuum and the two quantities electric current density and volumic electric charge
Note 1 to entry: Maxwell’s equations expressed in differential form are: $\mathrm{rot}\text{\hspace{0.17em}}E=-\text{\hspace{0.17em}}\frac{\partial \text{\hspace{0.17em}}B}{\partial \text{\hspace{0.17em}}t}$ $\text{div}\text{\hspace{0.17em}}\text{\hspace{0.17em}}D=\rho $ $\mathrm{rot}\text{\hspace{0.17em}}H=J+\text{\hspace{0.17em}}\frac{\partial \text{\hspace{0.17em}}D}{\partial \text{\hspace{0.17em}}t}$ $\text{div}\text{\hspace{0.17em}}\text{\hspace{0.17em}}B=0$ where , D and H are the four vector quantities determining the electromagnetic field, B is the electric current density, Jρ is the volumic electric charge and t is the time.
Note 2 to entry: Maxwell’s equations completely define the electromagnetic field in a given medium only together with the relations characterizing the medium, often called constitutive relations; in the case of a linear medium, these relations are expressed in terms of the absolute permittivity, the absolute permeability, and the conductivity of the medium. | ||

Publication date: | 2021-01 | ||

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Replaces: | 121-11-62:1998-08 | ||

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Note 1 to entry: Maxwell’s equations expressed in differential form are:

$\mathrm{rot}\text{\hspace{0.17em}}E=-\text{\hspace{0.17em}}\frac{\partial \text{\hspace{0.17em}}B}{\partial \text{\hspace{0.17em}}t}$

$\text{div}\text{\hspace{0.17em}}\text{\hspace{0.17em}}D=\rho $

$\mathrm{rot}\text{\hspace{0.17em}}H=J+\text{\hspace{0.17em}}\frac{\partial \text{\hspace{0.17em}}D}{\partial \text{\hspace{0.17em}}t}$

$\text{div}\text{\hspace{0.17em}}\text{\hspace{0.17em}}B=0$

where **rot** and div denote the rotation and the divergence respectively, * E*,

Note 2 to entry: Maxwell’s equations completely define the electromagnetic field in a given medium only together with the relations characterizing the medium, often called constitutive relations; in the case of a linear medium, these relations are expressed in terms of the absolute permittivity, the absolute permeability, and the conductivity of the medium.