What is the length of a 16 AWG solid coated copper conductor having a resistance of 23.5 ohms?

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Multiple Choice

What is the length of a 16 AWG solid coated copper conductor having a resistance of 23.5 ohms?

Explanation:
The key idea is that a conductor’s resistance depends on its material, cross‑section, and length, and for a fixed gauge you can use the resistance per length to solve for how long a wire must be to reach a given resistance. For 16 AWG solid copper, the problem uses a resistance value of about 5.08 ohms per 1,000 feet. To find the length, use the proportion R = (R per 1,000 ft) × (L / 1,000). Rearranging gives L = (R_total / R per 1,000 ft) × 1,000. So L = (23.5 / 5.08) × 1,000 ≈ 4,626 feet. Hence the wire length is about 4,626 ft.

The key idea is that a conductor’s resistance depends on its material, cross‑section, and length, and for a fixed gauge you can use the resistance per length to solve for how long a wire must be to reach a given resistance. For 16 AWG solid copper, the problem uses a resistance value of about 5.08 ohms per 1,000 feet. To find the length, use the proportion R = (R per 1,000 ft) × (L / 1,000). Rearranging gives L = (R_total / R per 1,000 ft) × 1,000. So L = (23.5 / 5.08) × 1,000 ≈ 4,626 feet. Hence the wire length is about 4,626 ft.

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