Final answer:
The power loss in a 58 gauge copper wire carrying 100 A over 1 kilometer can be calculated using the formulas for resistance and power loss in electrical circuits.
Step-by-step explanation:
The question pertains to the power loss in an electrical conductor, specifically a 58 gauge copper wire with a diameter of 9.266 mm carrying a current of 100 A over a distance of 1 kilometer. To calculate the power loss (P), we use the formula P = I²R, where I is the current and R is the resistance of the wire. The resistance can be calculated using the formula R = ρL/A, where ρ is the resistivity of copper (approximately 1.68×⁻OLD-8 Ω·m), L is the length of the wire, and A is the cross-sectional area of the wire. The cross-sectional area can be determined using the wire's diameter: A = π(d/2)². Once we have R, we can calculate the power loss.