Creating a Magnetic Quadrupole w/Earth Magnets

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SUMMARY

The discussion centers on the challenges of creating a magnetic quadrupole using Earth magnets. The user describes attempts to arrange four bar magnets in a specific configuration where magnets at 90 degrees attract and those at 180 degrees repel. Despite achieving the correct angles, the arrangement fails when the separators are removed, leading to instability and collapse of the quadrupole. The user concludes that the quadrupole arrangement is an example of unstable equilibrium, as any minor deviation results in the magnets reverting to a stable configuration.

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I have heard of a magnetic quadrupole. It is often represented as 4 bar magnets separated and arranged in such a way that for any 1 magnet it is attracted to the magnets 90 degrees from it but is repelled by the magnet 180 degrees from it. I have tried to form it with Earth magnets thinking that the stronger the magnet the more likely it is to form a quadrupole. But I have had no success. I successfully get the 4 magnets separated and at angles of 180 and 90 degrees making sure that the ones at 180 degrees repel and the ones at 90 degrees attract.

However the problem comes when I get rid of what is separating the magnets. Either 1 of the magnets turns 180 degrees or it flips or it turns 90 degrees. Either way pairs of magnets attach themselves.

How can I have magnets in open space form a quadrupole?
 
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Why do you assume the quadrupole arrangement is stable on its own? I'm pretty sure it isn't.
 
I assume that because I have always seen it represented as 4 magnets in open space.
 
I think the arrangement is a classic example of an unstable equilibrium. In perfect positions there are no net forces, but even the slightest deviation will make it collapse.
 

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