Current density is charge density times drift velocity

The vector of the electric current density is a vector whose magnitude is the electric current per cross-sectional area at a given point in space and its direction is that of the motion of positive electric charges at that point.

Links:

  1. Wikipedia.

current_density

Vector of the current_density.

Symbol:

j

Latex:

\({\vec j}\)

Dimension:

current/area

charge_density

volumetric_charge_density.

Symbol:

rho

Latex:

\(\rho\)

Dimension:

charge/volume

drift_velocity

Vector of the drift_velocity.

Symbol:

u

Latex:

\({\vec u}\)

Dimension:

velocity

law

j = rho * u

Latex:
\[{\vec j} = \rho {\vec u}\]