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On the surface, it seems net applied force on the ring would be zero. Vectors assessed at any point will sum to a value of equal but opposite sign to the vectors at a point symetrically opposite. In a perfect theoretical construct, the force vectors will "cancel out" and nothing will happen. But there may be a little more to this....

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Q: If a ring of radius r is carrying current and there is an external magnetic field that is always perpendicular to the current in the ring what is the magnitude of the force acting on the ring?
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