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Explicit Relationship Between Resistance and Temperature

  1. Apr 1, 2012 #1
    Hi folks. So I've found in multiple places the formula

    R=R[itex]_{0}[/itex][1+[itex]\alpha[/itex](T-T[itex]_{0}[/itex])]

    with qualifications that for a given material it will only work for certain temperature ranges. However, I've never seen it turned into a differential equation and solved explicitly. It seems like a perfectly natural thing to do, and the result seems to be

    R=[itex]\sqrt{2 \alpha T+C}[/itex]

    where the alpha is the same alpha as in the previous equation and C is a constant of integration. Is there something wrong with what I'm doing?
     
  2. jcsd
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