Final answer:
The resistance of a 240 feet long number 10 copper wire with a cross-sectional area of 10,380 circular mils is approximately 0.25 ohms when calculated using the specific resistance of copper.
Step-by-step explanation:
To calculate the resistance of a 240 feet long number 10 copper wire with a cross-sectional area of 10,380 circular mils (d²), we will use the formula RT = KL/d², where R is the resistance in ohms, K is the specific resistance of copper (10.8), L is the length in feet, and d is the diameter in mils. As the cross-sectional area is given rather than the diameter, we can rearrange the formula to R = KL/A, where A is the area in circular mils.
Now, substituting the values provided into the formula we get:
- K (specific resistance of copper) = 10.8
- L (length) = 240 feet
- A (area) = 10,380 circular mils
Therefore:
R = (10.8 × 240) / 10,380
R = 2592 / 10,380
R = approximately 0.25 ohms
The resistance to the nearest hundredth is 0.25 ohms.