How to extract linear term from polynomial?

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    Linear Polynomial Term
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SUMMARY

The discussion focuses on extracting the linear term from a polynomial derived from measuring the magnetic field of the Earth through wire deflection. The user observed that the wire's sag due to heat interfered with the magnetic field's displacement measurement, resulting in a quadratic polynomial when plotting displacement against current. It is confirmed that if the polynomial fits the data well, one can simply omit the linear term to isolate the effects of the magnetic field without needing complex extrapolation methods.

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randybryan
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Hello! Trying to measure the magnetic field of the Earth here. Basically, measured the deflection of the current carrying wire in the vertical plane. However, the sag of the wire due to heat overwhelmed the displacement due to the magnetic field. If I plot displacement of wire against current, I get a polynomial (looks like quadratic). I need to extract the linear part of this as this is equivalent to the effects of the magnetic field. Can I just find the equation of the polynomial and take the linear term of the polynomial equation? Or do I have to use some more complicated extrapolation method?
 
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Sounds right to me. If a polynomial fits your data well, then just omit the linear term.
 

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