IEVref: 121-11-62 ID: Language: en Status: Standard Term: Maxwell's equations, pl Synonym1: Synonym2: Synonym3: Symbol: 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 rot and div denote the rotation and the divergence respectively, E, D, H and B are the four vector quantities determining the electromagnetic field, J is the electric current density, ρ 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 Source: Replaces: 121-11-62:1998-08 Internal notes: CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: