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IEVref: | 121-11-12 | ID: | |

Language: | en | Status: Standard | |

Term: | lineic (electric) current | ||

Synonym1: | linear (electric) current density [Preferred] | ||

Synonym2: | |||

Synonym3: | |||

Symbol: | A | ||

Definition: | at a given point within a surface element of quasi-infinitesimal area S, vector quantity equal to the sum, for all free charge carriers confined to the surface element, of the products of electric charge and velocity, divided by the area S:$A=\frac{1}{S}{\displaystyle \sum _{i=1}^{n}{Q}_{i}}\text{\hspace{0.17em}}{v}_{i}$
where NOTE – For charge carriers confined to a surface, the integral along a curve of this surface joining two points e_{n}ds normal to the curve in a specified direction tangent to the surface and of magnitude equal to the scalar line element ds, is equal to the limit of the quotient of the electric charge Q transferred across the curve in the specified direction during a time interval by the duration τ of this interval when τ tends to zero:$\underset{{s}_{\text{a}}}{\overset{{s}_{\text{b}}}{\int}}A\cdot {e}_{\text{n}}\text{d}s=\underset{\tau \to 0}{\text{lim}}\text{\hspace{0.17em}}\frac{Q}{\tau}$
where | ||

Publication date: | 1998-08 | ||

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Internal notes: | 2017-06-02: Cleanup - Remove Attached Image 121-11-121.gif 2017-06-02: Cleanup - Remove Attached Image 121-11-122.gif | ||

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

where *n* is the number of free carriers confined to the surface element, *Q*_{i} the electric charge of the *i*^{th} carrier and *v*_{i} its velocity
*b*, the differential element of which is the scalar product of the lineic electric current * A* and the vector

$\underset{{s}_{\text{a}}}{\overset{{s}_{\text{b}}}{\int}}A\cdot {e}_{\text{n}}\text{d}s=\underset{\tau \to 0}{\text{lim}}\text{\hspace{0.17em}}\frac{Q}{\tau}$

where *s*_{a} and *s*_{b} are the path coordinates for *a* and *b*, respectively.