How does the direction of current density relate to conventional current direction?

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The direction of current density is the same as the direction of conventional current.12

In physics, current density, denoted by the symbol J, is a vector quantity representing the flow of current per unit area. By definition, conventional current is taken to be the direction in which positive charge carriers move. Because current density is defined by the flow of these charges, its direction aligns with the conventional current flow, even in materials like metallic conductors where the actual charge carriers are negatively charged electrons moving in the opposite direction.21