Force generated by a solenoid on a moving steel ball bearing

AI Thread Summary
The discussion focuses on finding an equation for the force exerted by a solenoid on a moving steel ball bearing, considering factors like current, number of loops, and solenoid area. The original poster has struggled to locate relevant resources and references a previous discussion that pertains to stationary steel ball bearings. It is noted that the motion of the ball bearing will induce eddy currents, which are separate from the ferromagnetic response of the steel. Additionally, calculating the interaction between magnets and magnetizable objects is acknowledged as a complex challenge. Overall, the community is sought for assistance in deriving the appropriate equation for this scenario.
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Hi, I want to find an equation for the force generated by a solenoid on a moving steel ball bearing given current, number of loops, area of the solenoid for a lab project. I've tried looking through many sources, but was unable to find anything. I also tried looking at this previous discussion https://www.physicsforums.com/threads/equation-for-f-using-flux-desnity-in-solenoid.328605/ but this is for a steel ball bearing that isn't moving. Any help would be greatly appreciated.
 
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The motion will induce eddy currents, those are independent of the ferromagnetic reaction of the steel balls.
In general the interaction between magnets and magnetizable objects is very difficult to calculate.
 

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