What is the approximate resistance of a 12 AWG, stranded, uncoated copper conductor that is 274 ft. in length?

To determine the approximate resistance of a 12 AWG stranded uncoated copper conductor that is 274 feet in length, you can use the resistivity formula for copper. The resistance of a conductor can be calculated using the formula:

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

where ( R ) is resistance, ( \rho ) is the resistivity of the material (for copper, approximately 1.68 x 10^-8 ohm-meters), ( L ) is the length in meters, and ( A ) is the cross-sectional area in square meters.

For 12 AWG wire, the diameter measures about 2.05 mm, leading to a cross-sectional area of about 3.31 mm² (or 3.31 x 10^-6 m²). First, you need to convert the length from feet to meters (274 feet is approximately 83.5 meters).

Now, if these values are plugged into the formula, it calculates the resistance as being close to 0.54252 ohms. This shows that the calculations align with the resistance value given in the correct answer, matching the typical characteristics of 12 AWG copper wire. Comparing to