Question

00-gauge copper wire has a diameter of 9.266 mm. Calculate the power loss in a kilometer of such wire when it carries 1.00×10^2 A.

a. 11.1 kW
b. 22.2 kW
c. 33.3 kW
d. 44.4 kW

Answer 1

To calculate the power loss in a kilometer of 00-gauge copper wire carrying 1.00×10^2 A, use the power loss formula and the resistance formula.

Step-by-step explanation:

To calculate the power loss in a kilometer of 00-gauge copper wire carrying 1.00×10^2 A, we can use the formula:

Power Loss (P) = (I^2) x Resistance (R)

First, we need to find the resistance of the wire. The formula for resistance is:

Resistance (R) = (ρ x L) / A

Where ρ is the resistivity of copper, L is the length of the wire, and A is the cross-sectional area of the wire.

Given that the diameter of the wire is 9.266 mm, we can calculate the cross-sectional area using the formula:

Area (A) = π x (d/2)^2

Once we have the resistance, we can substitute it into the power loss formula to find the answer.