(Answered) If a wire is placed next to the face of a permanent magnet

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If a wire is placed next to the face of a permanent magnet and a current sent through the wire, then a Lorentz force is present orthogonal to both the direction of the current and the magnetic field. I would assume there should be a linear force on the magnet in the other direction, but the magnetic field caused by the current in the wire should only create a torque on the magnet. So how is momentum conserved?

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