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Simultaneous equations

  1. Feb 12, 2006 #1
    Hi,

    I have the results from an experiment I carried out and basically I have a formula with 2 unknown variables in it, and 6 sets of data. Because this data is from an experiment it isn't perfect and I was wondering about the method that determines the value of the 2 constants that would best fit the data.

    (to elaborate, I was plugging an AC waveform into a circuit with an inductor and measuring the current and voltage - from this I got the impedance and the frequency. Since Z^2 = R^2+X^2 where X = inductive reactance, I want to find the best fitting value of R and L with 6 sets of data for Z and the frequency of the oscillator (since X=2pifL)


    Cheers,
    Zachary.
     
  2. jcsd
  3. Feb 12, 2006 #2
    ok, to elaborate some more I have these sets of data:

    f=496
    z=5.99

    f=997
    z=9.10

    f=1410
    z=11.3

    f=1900
    z=13.5

    f=2377
    z=15.3

    f=2800
    z=16.8

    And the formula Z^2 = R^2 + (2pifL)^2

    How do I find which values of R and L which best fit this data?
     
  4. Feb 15, 2006 #3

    Ouabache

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    Do you have thoughts on how you may approach this question? If you are still stymied, just take an educated guess on the procedure. Then we can help steer you in a successful direction.
     
  5. Feb 15, 2006 #4

    0rthodontist

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    What does pifL mean? Is that pi * f * L? If so then you could let x = f^2 and y = z^2 and do a linear regression.
     
    Last edited: Feb 15, 2006
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