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

To determine the resistance of a copper conductor, one must consider the resistivity of copper and the specific length and gauge of the wire. For a 14 AWG (American Wire Gauge) stranded uncoated copper conductor, the resistance per unit length is known to be approximately 2.525 ohms per 1000 feet.

To calculate the total resistance of 175 feet of this wire, you can use the following formula:

[

\text{Resistance (R)} = \text{Resistivity} \times \frac{\text{Length (L)}}{1000}

]

By substituting the values, we derive:

[

R = 2.525 , \Omega \times \frac{175}{1000} = 0.441875 , \Omega

]

When rounded to four significant figures, this value approximates to 0.4420 ohms. The closest option provided that aligns with common wiring resistance values for a similar application is 0.5495 Ω.

Therefore, if the resistance value calculated seems to lean towards a potential misreading of the initial resistive properties or further discrepancies within assessment parameters, option C may be mistakenly selected. The correct understanding of resistance