# Newton's third law in Lorentz Force [duplicate]

May I know if we have a current flowing through a wire, and the wire is between two strong magnets. The wire would experience a force called the Lorentz Force given by F = IxB, or F equals I cross B. Based on Newton's third law of motion, will the magnets also feel a force in the opposite direction of the wire?

In this case the wire is feeling a downward force. But by Newton's third law of motion will the magnetic around it feel an upward force?

• There is a good answer on this in this answer: physics.stackexchange.com/questions/114466/… Newton's 3rd law is not violated, but you must rethink what actually exerts this force on the wire. Nov 30 '16 at 17:44
• @sammygerbil The accepted one Nov 30 '16 at 22:05
• @Steeven: I don't think the question you've linked to is really a duplicate. One can derive Newton's Third Law directly from the Biot-Savart Law and the Lorentz Force Law, without any reference to electromagnetic field momentum. Moreover, EM field momentum is only present when you have both $\vec{E}$ and $\vec{B}$ fields (since the momentum density is proportional to $\vec{E} \times \vec{B}$.) There's no electric field here. Dec 1 '16 at 22:03