Magnetic field effects depend on frame of reference: upper image show the wire (grey) with the electric positive charges as stationary and the negative charges moving - the magnetic force Fm pushes the single moving charge towards the wire, in the bottom image the frame of reference is such that the moving charge is stationary - the magnetic force disappears and the negative charge is pushed towards the wire due to electrostatic force Fe.
relativistic_effects_with_current_magnetica.png
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S. Zurek, Encyclopedia Magnetica, CC-BY-4.0
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