Suppose we have a spring with a spring constant of [itex]k[/itex]. And it is attached to a magnet (or electromagnet) as in the following diagram that I've made:(adsbygoogle = window.adsbygoogle || []).push({});

I was wondering if it is possible to write an equation for the magnitude of the magnetic field [itex]\vec{B}[/itex] required to compress the spring?

Suppose we want to compress the coil for a specific distance d. All we know is [itex]k[/itex] (or the stiffness of the spring).The red area in the diagram is the electromagnet that can produce a reasonably uniform field of any strength we choose.

P.S.I haven't tried this before experimentally, so I'm not sure if this arrangement actually works but I think if a permanent magnet is attached to the other side of the spring, the electromagnet would compress the spring much more easily. Here is the diagram:

I'm curious how we can determine the amount of [itex]\vec{B}[/itex] needed to compress the spring.

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# Magnetic Field To Compress A Spring

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