What is the resistance of 175 feet of 14 AWG stranded uncoated copper conductor?

To understand why the resistance of 175 feet of 14 AWG stranded uncoated copper conductor is 0.5495 ohms, it is helpful to reference the specific properties of copper conductors and standard formulas used for calculating electrical resistance.

The resistance of a conductor can be determined using the formula:

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

Where:

• ( R ) is the resistance,

• ( \rho ) is the resistivity of the material (for copper, this is typically around 1.68 x 10^-8 ohm-meters),

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

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

14 AWG stranded copper conductors have a specific resistance value that many reference tables provide. For 14 AWG wire, the resistance per 1000 feet is typically about 2.525 ohms.

To calculate the resistance for 175 feet, we can set up a proportion:

[ R_{175 ft} = R_{1000 ft} \cdot \frac{175}{1000} ]

Calculating this gives:

[ R_{175