If a 250-foot #12 copper conductor has a resistance of 0.397 ?, how much is the resistance of the same conductor at 800 feet
1 answer:
Answer: 1.2704 ohm
Step-by-step explanation:
Since resistance is directly proportional to the length of the conductor.
Let x be the resistance of the same conductor at 800 feet.
Then by direct proportion,
![\frac{x}{800}=\frac{0.397}{250}\\\Rightarrow\ x=\frac{0.397\times800}{250}\\\Rightarrow\ x=1.2704](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B800%7D%3D%5Cfrac%7B0.397%7D%7B250%7D%5C%5C%5CRightarrow%5C%20x%3D%5Cfrac%7B0.397%5Ctimes800%7D%7B250%7D%5C%5C%5CRightarrow%5C%20x%3D1.2704)
hence, the resistance of same conductor at 800 feet = 1.2704 ohm
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