doubled every changes of 3 AWG, AWG 13 is 2R ( AWG10) and AWG 16 is 4R greater than AWG10.
In other words a 55’C rise at a rating of 30A with AWG 10 having a diameter of 0.1019” = 2.588 mm. This translates to a temperature rise of 35, 50, 75’C for a wire rated for 30A. for example AWG 10 is about 1 mΩ/ft has a standard ampacity of 20A, 30A & 40A at temperatures 60’C, 75’C, 90’C at an ambient of 25’C. I expect the “ampacity” rating should define the current at various temperature ratings is proportional to diameter and the resistance per unit length which will vary according to different thermal insulation ratings. If you do the experiment, note that you need to measure the wire temperature, not the outer temperature of the Romex jacket. Note that this question can be answered by experiment or by theoretical calculation. Assume no wall insulation, just the Romex. If you only want to do one of these types in your answer, please do a 20 amp load on a 12 gauge wire in Romex at an ambient temperature of 72-degrees Farenheit. If we assume an ambient temperature of 72-degrees Farenheit, how hot do these different wires become if they are fully loaded (meaning using 20 amps continuously in the first case and 15 amps in the second)? 
I assume it does not get as hot as the Romex because the Romex is considerably more insulated.
The usual method of cabling these wires nowadays is to use Romex, but I would be interested in the heat profile of coated wire in EMT as well. To be more specific, in the United States, there are two usual residential circuits, 20 amp circuits that use a 12 gauge wire and 15 amp lighting circuits that use a 14 gauge wire. From a theoretical point of view, how hot does an electrical wire in a house get in normal use?
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