I have a force vs displacement multi-data set with each curve obtained at constant current value. I want to curve fit the data using electromagnetic force equation. F (x,i )=(β(i)^2)/((κ-x)^2). What value of current 'i' should be selected to obtain an single optimized fit of multi-data set?
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Something like [this](https://www.mathworks.com/help/curvefit/interactive-fit-comparison.html)? – Jeroen Heier Aug 27 '18 at 19:41
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Would you please post a link to the data? You should be able to fit a 3D surface, I will try. – James Phillips Aug 27 '18 at 20:36
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https://ieeexplore.ieee.org/abstract/document/1406108/. My experimental data is similar to force vs air gap graph in this article. Each curve gives a value of parameters β and κ. I want to find optimized parameter values that will represent all the curves. What current value must be used in the equation used for fitting? Hope you understand my question. – Saad Aug 28 '18 at 13:35
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Thank you for the link, it says I can purchase the article. While I would like to help you, my request was for data. F(x,i) seems like a surface fit which I can do using the equation you provided, but I cannot fit data that I do not have. – James Phillips Aug 28 '18 at 16:30