Question

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

Answer 1

The answer is 0.635 m that’s the answer

Answer 2

0.635 m

Step-by-step 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

`R=(\rho l)/(A)=(1.724*10^(-8)*121.92)/(3.31*10^(-6)) =0.635m`