What is the resistance of 200 feet of 8 AWG coated solid copper conductor?

To determine the resistance of a conductor, Ohm's law and the specific resistivity of the material are used along with its length and cross-sectional area. For a solid copper conductor, the resistivity is typically around 1.68 x 10^-8 ohm-meters.

The resistance can be calculated using the formula:

[ R = \rho \frac{L}{A} ]

where:

• ( R ) is the resistance,

• ( \rho ) is the resistivity of the material,

• ( L ) is the length of the conductor in meters,

• ( A ) is the cross-sectional area in square meters.

For 8 AWG wire, its cross-sectional area is about 3.261 mm², which converts to 3.261 x 10^-6 m².

To find the resistance of 200 feet of 8 AWG copper wire, first convert the length from feet to meters:

[ 200 , \text{feet} \approx 60.96 , \text{meters} ]

Now, we can plug these values into the resistance formula:

1. Convert the resistivity to consistent units:

[ \rho = 1