The solution at revision #18784 of , by JAMF. This is not the current version.

Statement

14.3.21∗. Will the current density in a conductor change as it moves perpendicular to
the current direction?

Solution

The changes occur only in the velocity direction. Because the changes occur due to length contraction.

So, the answer is no, there are no changes in the current density and the charge density.

Answer

So, the answer is no, there are no changes in the current density and the charge density.