How Is Magnetic Force Calculated on a Cylinder in a Gradient Field?

AI Thread Summary
To calculate the magnetic force on a cylinder in a gradient field, one approach is to consider the interaction between two current-carrying rings. The setup involves an annulus-shaped cylinder with specific dimensions creating a magnetic field gradient. The gap between the inner and outer cylinders contributes to this gradient, affecting the magnetic force experienced by the centered cylinder. Understanding electromagnetic principles is crucial for accurate calculations in this scenario. Seeking assistance from those knowledgeable in electromagnetism can provide further clarity on the calculations involved.
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I am a chemistry student that is trying to calculate the magnetic force on a cylinder due to a gradient produced by sitting in an annulus. The annlus is a cylinder of height h with outer radius ro and inner radius ri. The other cylinder has height h and radius r such that a gap exists with width ri-r. This gap produces a field gradient on the centered magnetic. I am not too sazy with E&M and would appreicated any assistance. Thanks in advance.
 
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I think if you assume you have two current carrying rings and calculate the force of one on the other it will work. Does everyone agree?
 
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