Which gauge of stranded uncoated copper conductor has a DC resistance of 3.14 at 175 feet?

Which gauge of stranded uncoated copper conductor has a DC resistance of 3.14 at 175 feet?

• A. 12 AWG
• B. 14 AWG
• C. 10 AWG
• D. 8 AWG

Answer: (B)

To determine which gauge of stranded uncoated copper conductor exhibits a DC resistance of 3.14 ohms at 175 feet, it's essential to understand the typical resistance values for different AWG (American Wire Gauge) sizes of copper conductors. Resistance in conductors increases with gauge size; specifically, the larger the gauge number, the greater the resistance. The resistance of stranded copper wire per 1000 feet is known, and for 12 AWG, 14 AWG, 10 AWG, and 8 AWG, we have approximate values: - 12 AWG has about 5.211 ohms per 1000 feet, - 14 AWG has about 7.348 ohms per 1000 feet, - 10 AWG has about 3.277 ohms per 1000 feet, - 8 AWG has about 2.063 ohms per 1000 feet. To find the resistance over 175 feet, we calculate the resistance of each size wire at that length using the formula: \[ \text{Resistance} = \left(\frac{\text{Resistance per 1000 feet}}{1000}\right) \times \text{length in

To determine which gauge of stranded uncoated copper conductor exhibits a DC resistance of 3.14 ohms at 175 feet, it's essential to understand the typical resistance values for different AWG (American Wire Gauge) sizes of copper conductors.

Resistance in conductors increases with gauge size; specifically, the larger the gauge number, the greater the resistance. The resistance of stranded copper wire per 1000 feet is known, and for 12 AWG, 14 AWG, 10 AWG, and 8 AWG, we have approximate values:

• 12 AWG has about 5.211 ohms per 1000 feet,

• 14 AWG has about 7.348 ohms per 1000 feet,

• 10 AWG has about 3.277 ohms per 1000 feet,

• 8 AWG has about 2.063 ohms per 1000 feet.

To find the resistance over 175 feet, we calculate the resistance of each size wire at that length using the formula:

[

\text{Resistance} = \left(\frac{\text{Resistance per 1000 feet}}{1000}\right) \times \text{length in