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Conserved current

In physics, a conserved current, J, obeys a conservation law.

Thus for the conservation of charge, for example, in the notation of Maxwell's equations,

\nabla \cdot  \mathbf{J} = \frac{\partial \rho} {\partial t}

where:

ρ is the free electric charge density (in units of C/m3)

J is the current density:

J = ρv

v is the velocity of the charges.

The equation would apply equally to masses (or other conserved quantities), where the word mass is substituted for the words electric charge above.

01-04-2007 01:18:14
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