Which conductor size is associated with a unit resistance of 7.77 Ω per 1,000 feet?

Which conductor size is associated with a unit resistance of 7.77 Ω per 1,000 feet?

• A. 16 AWG
• B. 18 AWG
• C. 20 AWG
• D. 22 AWG

Answer: (B)

The key idea is that resistance per length grows as the wire gets thinner. Copper wire has standard resistance values per 1,000 feet for each gauge. For 18 AWG, it’s about 6.385 Ω per 1,000 ft; for 20 AWG, it’s about 10.15 Ω per 1,000 ft. A target of 7.77 Ω per 1,000 ft sits between these two values, but it’s closer to 6.385 than to 10.15. So, among the given options, 18 AWG is the best match. Temperature and exact alloy can shift the numbers a bit, but the closer fit is 18 AWG.

The key idea is that resistance per length grows as the wire gets thinner. Copper wire has standard resistance values per 1,000 feet for each gauge. For 18 AWG, it’s about 6.385 Ω per 1,000 ft; for 20 AWG, it’s about 10.15 Ω per 1,000 ft. A target of 7.77 Ω per 1,000 ft sits between these two values, but it’s closer to 6.385 than to 10.15. So, among the given options, 18 AWG is the best match. Temperature and exact alloy can shift the numbers a bit, but the closer fit is 18 AWG.