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I did Thomson's Jumping Ring Experiment with some additional factors added. I used aluminium rings of the same inner diameter, same thickness (at 2 mm), but varying outer diameter (starting from 65 mm and increasing by 5 mm until it reaches 100 mm). This was an independent variable. The dependent variable was the height at which they stay when the rings stabilise their movement. I investigated the relationship between the two. I plotted the data in the following graph.

enter image description here

Since I know the frequency of the AC current and the the voltage, I could somehow get the expression for the magnetic field affecting the ring at the time t. But this does not show a reasonable level of accuracy, as there might be so many other factors to be considered. In addition, I couldn't find the relationship between this and the force acting on the ring. The weight force should also be taken into account because the mass increases as the diameter increases.

Can anybody give some ideas or a piece of advice?

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