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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:$J=\frac{1}{V}{\displaystyle \sum _{i=1}^{n}{Q}_{i}}\text{\hspace{0.17em}}{v}_{i}$ where NOTE – The flux of the electric current density I through that surface: $I={\displaystyle \underset{\text{S}}{\int}J\cdot {e}_{n}}\text{d}A$ where | ||

Publication date: | 1998-08 | ||

Source: | |||

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Internal notes: | 2017-06-02: Cleanup - Remove Attached Image 121-11-111.gif 2017-06-02: Cleanup - Remove Attached Image 121-11-112.gif | ||

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$J=\frac{1}{V}{\displaystyle \sum _{i=1}^{n}{Q}_{i}}\text{\hspace{0.17em}}{v}_{i}$

where *n* is the number of free carriers within the volume element, *Q*_{i} the electric charge of the *i*^{th} carrier and **v**_{i} its velocity
*J* through any directed surface S is equal to the electric current *I* through that surface:

$I={\displaystyle \underset{\text{S}}{\int}J\cdot {e}_{n}}\text{d}A$

where **e**_{n}d*A* is the vector surface element.