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Why are attraction forces stronger than repelling forces? Shouldn the magnetic forces be equal and opposite?

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Why are attraction forces stronger than repelling forces? Shouldn the magnetic forces be equal and opposite?

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Magnets in attraction produce an increasing field strength in the gap between them as they approach, and therefore greater force. The reason is that the effective system permeance coefficient (PC) increases as the magnets get closer. As they approach, more flux lines flow from one magnet to the other, rather than taking a path from North to South pole of the same magnet. This causes them to act increasingly more like a single, longer magnet with a greater load line slope, increasing the value of Bd and decreasing Hd for both magnets. (PC = Bd/Hd) Since flux lines cannot cross each other, the bucking magnetic fields of magnets in repulsion are compressed. Flux density in the radial component of the bucking fields increases in amplitude as the magnets approach each other, and more of their own external field (Bd) is pushed back into the magnets themselves, where it becomes part of the self demagnetizing field (Hd). Since Bd decreases while Hd increases, the PC value decreases as repellin

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