Thermistor Calculations

So this post is more of a maths orientated post. It incorporates maths equations powered by mathjax and so needs a relatively modern browser to work. Mathjax is a tad slow to load as its hosted on their site as I can't add the code to Blogger.

So I've decided I would test out some thermistors that I had bought a while ago. I was looking round and found it hard to find a solid circuit diagram and I couldn't find any equation to get from the ADC value to the temperature. I eventually had the great idea of checking how the RAMPS circuit was done for the RepRap System.