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Mar 17 at 11:15 comment added Nicolau Saker Neto I'm afraid I can't commit the time to writing an answer, sorry. Hopefully that will get you going in the right direction, though.
Mar 17 at 7:11 comment added Jonathan Huang @DrMoishePippik by the way, the conductivity data used is not by me, but from a high school essay I found online.
Mar 17 at 7:10 comment added Jonathan Huang @NicolauSakerNeto this sounds very interesting. Any chance you could write it into an answer with more details/additional readings? I'm a physics student, so theory is also welcome.
Mar 17 at 1:49 comment added DrMoishe Pippik Nicely written question and experimental data. BTW, now you can make some hand-drawn electronic circuits, and even draw the current-limiting resistor for an LED (if your instructor appreciates humor, draw it on the lab report., with a coin cell).
Mar 16 at 14:32 comment added Mithoron It's not linear (or any specific function like exp) because it's not some true solution. If you cover some chunk of conductor in insulator, it won't conduct at all. Here's some mixing, though, so situation is intermediate.
Mar 16 at 13:42 history edited Jonathan Huang CC BY-SA 4.0
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Mar 16 at 12:01 comment added Nicolau Saker Neto Guessing based on percolation theory, I suspect that at low graphite content there are few "good" pathways available for the current to be conducted through, and it looks relatively insulating. After you reach some critical graphite concentration, the conduction pathways start to connect en masse, and you see rapid increase in conductivity, until it saturates. This gives a roughly sigmoidal curve. A slight issue is that it's somewhat unexpected for the rapid growth to happen at such high graphite concentrations, but that could be a consequence of many real-world parameters.
Mar 16 at 9:01 history edited Buck Thorn CC BY-SA 4.0
edited title
Mar 16 at 7:25 history asked Jonathan Huang CC BY-SA 4.0