The current density at a point in the conductor is defined as the current per unit cross-section area.Thus if the charge is flowing per unit time uniformaly over the area of cross-section A of the conductor,then current density J at any point on that area is defined as
J=I/A -(2)

It is the characterstic property of point inside the conductor nor of the conductor as a whole

Direction of current density is same as the direction of conventional current

Note that current density is a vector quantity unlike electric current

Unit of current density is Ampere/meter^{2} (Am^{-2})