# Problem: 00-gauge copper wire has a diameter of 9.266 mm. Calculate the power loss in a kilometer of such wire when it carries 1.00x102 A

###### FREE Expert Solution

Power:

$\overline{){\mathbf{P}}{\mathbf{=}}{{\mathbf{i}}}^{{\mathbf{2}}}{\mathbf{R}}}$

Resistance can also be expressed as:

$\overline{){\mathbf{R}}{\mathbf{=}}\frac{\mathbf{4}\mathbf{\rho }\mathbf{l}}{\mathbf{\pi }{\mathbf{d}}^{\mathbf{2}}}}$

The resistivity of copper, ρ = 1.72 × 10-8 Ω•m

###### Problem Details

00-gauge copper wire has a diameter of 9.266 mm. Calculate the power loss in a kilometer of such wire when it carries 1.00x102 A