# Explicit Relationship Between Resistance and Temperature

1. Apr 1, 2012

### marschmellow

Hi folks. So I've found in multiple places the formula

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

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=$\sqrt{2 \alpha T+C}$

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?

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