It showed that at 185 feet, with 48 amps, he’d lose only 6.7 volts. The roaster would hum perfectly. The wires would stay cool.
Methodology for the Calculation of Minimum Conductor Cross-Sectional Area in Electrical Wiring Systems electrical cable thickness calculator
The tabulated ampacity ($I_{tab}$) provided by manufacturers must be derated based on environmental factors using correction factors: It showed that at 185 feet, with 48 amps, he’d lose only 6
He hit .
He grinned. "We're not wiring a lamp, Elena. We're feeding a dragon. And this little calculator just told me exactly what gauge sword to use." We're feeding a dragon
$$I_B \approx \frac{15000}{\sqrt{3} \times 400 \times 0.85 \times 0.9} \approx 28.3 \text{ Amps}$$
During a short-circuit event, the conductor temperature rises rapidly. The cable must be thick enough to dissipate this heat energy before the insulation melts. The minimum area ($A_{sc}$) is calculated based on the fault current ($I_{sc}$) and the disconnecting time ($t$).