Your idiosyncratic punctuation (space in front of period) makes your calculation hard to understand.
Are you calculating the power dissipation in 1.0 m of AWG 10 at 15 A, or in 0.1 m (4 in), or at some other current?
1.0 m of AWG 10 (0.0033 ohms) would dissipate 0.74 W at 15 A and 0.1 m would dissipate 0.074 W.
The NEC (National Electrical Code) for civil structural wiring is a fire-prevention code (from the NFPA).
AWG (American Wire Gauge) is a wire gauge, defining the diameter of the wire, used for copper wire.
The reference in a copper wire table states, as a footnote to the 55 A current rating for AWG 10,
"Maximum current for chassis wiring. Data from Handbook of Electronic Tables and Formulas for American Wire Gauge. The maximum current for power transmission is less."
Oh sorry Tim . Your right my math is way out to lunch . Not feeling well at all today . Should have passed on the thread completely. Damage done.
Anyway I wanted to convey that the off the net AWG current ratings are not the same as the NEC current ratings for same gauge wire , The 15A rating is for bundled wires and the chassis rating is for single wire . But the Ampacities of Insulated Conductors From NEC Table 310.16 (2020 edition) for 10 AWG wire are 30A for 65
oC , 35A for 75
oC and 40A for 95
oC with certain recommendations as stated in the notes.
Notes:
1. Section 310.15(B) shall be referenced for ampacity correction factors where the ambient temperature is other than 30 C (86 F).
2. Section 310.15(C)(1) shall be referenced for more than three current-carrying conductors.
3. Section 310.16 shall be referenced for conditions of use.
*Section 240.4(D) shall be referenced for conductor over current protection limitations, except as modified elsewhere in the Code.
But its best for people to refer the actual Code which entails much more than the current capabilities .
Just wanted to reassure that wire won't suddenly burst into flame and melt if the AWG current rating is exceeded by a small margin.
I apologize for the confusion.