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Find the resistance?

  1. Sep 24, 2013 #1
    1. The problem statement, all variables and given/known data
    Using the smooth curve for V vs. I and find values for R for the seven values of V and I.

    2. Relevant equations

    P = VI
    R ≠ V/I

    3. The attempt at a solution
    I got the slope of the tangent line and got .002Ω for each point... Doesn't seem like a correct value. Can someone tell me how to get R. It is hinted something about the tangent line. I can't use the formula R = V/I for some reason stated on the paper.
     

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    Last edited: Sep 24, 2013
  2. jcsd
  3. Sep 24, 2013 #2

    phinds

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    attachment is illegible
     
  4. Sep 24, 2013 #3
    Can you see it better now? I updated the attachment.
     
  5. Sep 24, 2013 #4

    phinds

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    No, I still can't read it.
     
  6. Sep 24, 2013 #5
    Okay. I've zoomed in the image if you are having a hard time reading it.
     
  7. Sep 25, 2013 #6

    haruspex

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    I find this question bizarre. To the best of my knowledge, R = V/I by definition. They seem to want you to find the marginal resistance, i.e. ΔV/ΔI for some small change in voltage, but that is not the resistance of the lamp.
     
  8. Sep 25, 2013 #7
    The resistance of the bulb increases as it gets hotter. As haruspex points out, what they seem to be looking for here is the incremental resistance dV/dI (since the relationship between V and I is non-linear).

    Your data has some experimental uncertainty to it, so you need to fit a smooth curve to the data (of course, passing through the origin). You can use a French curve to do this, or you can do it with a graphics package to obtain a best fit using a low order (say 2 or 3 degree) polynomial. If you do it using a French curve, you can draw tangents to the smooth curve and obtain dV/dI from the slope of the tangent lines. If you do it with a graphics package, the package will provide the equation for the best fit polynomial, and you differentiate to get dV/dI.
     
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