I recently watched this Varitasium video where he explains the magnetic field due to a current carrying wire. In the video he explains how what we see and describe as the magnetic field produced by a current carrying wire is actually just a electric force caused by the an imbalance of charges which caused by contraction due to relativistic speeds of moving charges. The example he gives repels an ion, which made sense to me, but why would that electric force repel a magnet? Also, it does't explain the direction of the magnetic force produced by a current carrying wire. Could someone please help to clear this up for me? Thank you.