How do I take results from an exponential saturation curve?

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SUMMARY

The discussion centers on analyzing data from an exponential saturation curve, specifically magnetic flux density as a function of current. The participant utilized a non-linear fitting equation, Y=b1*(1-exp(-b2*x)), to derive results. It was concluded that using values from the fitted curve is more accurate if the curve is a good fit, as it can mitigate measurement uncertainties. If the curve does not fit well, reliance on original data points is recommended.

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elevenb
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Homework Statement



I have been working on a lab report recently in which I took some data and then further used this data to gather results.

I was plotting magnetic flux density as a function of current, this turned out to be an exponential saturation curve. I plotted this curve using a package at university.

My question is, do I use my original data points to calculate my results, or do I use the data that the non-linear fit gives me?

Homework Equations


[/B]
Y=b1*(1-exp(-b2*x)) -> My equation for the linear fit

The Attempt at a Solution



I have tried both, the results from the equation seem to give results closer to tabulated values; however I am wondering is this the correct way to go about the experiment.
 
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Calculate which results? In general, if the curve is a good fit, using its values is probably more accurate as some measurement uncertainties can average out. In addition, you are not limited to data points - you can use intermediate values as well. If the curve doesn't fit well, do not use it.
 

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