IEVref: 121-11-11 ID: Language: en Status: Standard Term: (electric) current density Synonym1: (conduction) current density [Preferred] Synonym2: areic electric current [Preferred] Synonym3: Symbol: J Definition: at a given point within a volume element of quasi-infinitesimal volume V, vector quantity equal to the sum, for all free charge carriers within the volume element, of the products of electric charge and velocity, divided by the volume V: $J=\frac{1}{V}\sum _{i=1}^{n}{Q}_{i}\text{\hspace{0.17em}}{v}_{i}$ where n is the number of free carriers within the volume element, Qi the electric charge of the ith carrier and vi its velocity NOTE – The flux of the electric current density J through any directed surface S is equal to the electric current I through that surface: $I=\underset{\text{S}}{\int }J\cdot {e}_{n}\text{d}A$ where endA is the vector surface element. Publication date: 1998-08 Source: Replaces: Internal notes: 2017-06-02: Cleanup - Remove Attached Image 121-11-111.gif 2017-06-02: Cleanup - Remove Attached Image 121-11-112.gif CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: