Luis is installing some 12 gage wire. How much resistance will there be throughout a distance of 400 feet

Answer:

0.635 m

Explanation:

When calculating the resistance R of a wire, we need  its length(l), its cross-sectional area (A) and the resistivity of the material(ρ). The resistance of a wire  is given by the equation:

Resistance (R) = Resistivity(ρ) × length (l) / cross-sectional area (A)

For a 12 guage wire,

Resistivity (ρ) = 1.724 × 10 ⁻⁸ ohm m, length (l) = 400 ft = 121.92 m,

Diameter (d) = 0.00205232, cross-sectional area (A) = πd²/4 = π(0.00205232)²/4 = 3.31 × 10 ⁻⁶ m²

[tex]R=\frac{\rho l}{A}=\frac{1.724*10^{-8}*121.92}{3.31*10^{-6}} =0.635m[/tex]

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