Current density

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In electricity and magnetism, current density is a measure of the density of electrical current. In a conductor, it is defined as the ratio of current to cross-sectional area of the conductor:

<math> \bold{J} = \frac{I}{A} \bold{\hat{u}} = \rho\mathbf{v} </math>

where û is the unit vector pointing in the direction of the current flow along the length of the conductor, <math>\rho</math> is the charge density and <math>\mathbf{v}</math> is the drift velocity of the electrons.

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