Consider 1,000 feet total of 18 gauge solid coated copper at 167°F. The resistance of this conductor is ____ ohms?

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Multiple Choice

Consider 1,000 feet total of 18 gauge solid coated copper at 167°F. The resistance of this conductor is ____ ohms?

Explanation:
Resistance comes from copper’s resistivity, the length, and how temperature makes copper resist a bit more. For 18 AWG copper, the resistance is about 6.385 ohms for 1,000 feet at 20°C. The temperature at 167°F is 75°C, which is 55°C above 20°C. Copper’s typical temperature coefficient is about 0.00393 per degree Celsius, so the resistance scales by a factor of 1 + 0.00393×55 ≈ 1.216. Multiply 6.385 by 1.216 and you get roughly 7.76 ohms. So the conductor would be about 7.8 ohms at 167°F. The insulation doesn’t significantly change this value; only the copper’s temperature matters here.

Resistance comes from copper’s resistivity, the length, and how temperature makes copper resist a bit more. For 18 AWG copper, the resistance is about 6.385 ohms for 1,000 feet at 20°C. The temperature at 167°F is 75°C, which is 55°C above 20°C. Copper’s typical temperature coefficient is about 0.00393 per degree Celsius, so the resistance scales by a factor of 1 + 0.00393×55 ≈ 1.216. Multiply 6.385 by 1.216 and you get roughly 7.76 ohms. So the conductor would be about 7.8 ohms at 167°F. The insulation doesn’t significantly change this value; only the copper’s temperature matters here.

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