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[–] 2 pts

Yep, the magnetic field is perpendicular to the current.

[–] 0 pt

Here's another thingy to consider. Imagine if you will, a vortex ring made in the air, if the vortex is likened to an electric current, then would a magnetic component exist that is perpendicular to the flow of the current? Magnetic component in the sense of interacting with nearby flow structures?