Wire Gauge Calculator

Recommend a copper wire gauge (AWG) based on amperage, one-way run length, and acceptable voltage drop.

Wire Gauge
copper
Minimum for the target drop.

Usage Tip

Voltage drop adds up on long runs; upsizing one gauge is cheap insurance against dimming lights and humming motors.

THE MATH
circular mils = (2 × K × amps × length) ÷ voltage drop
K (copper) = 12.9, voltage drop = drop % × 120 V
Long wire runs lose voltage. To keep the drop within a target, the conductor must have enough cross-section, measured in circular mils, which maps to a wire gauge.
Enter the load amps, the one-way run length, and an acceptable voltage drop (3 percent is common).
Sizing assumes a 120 V copper circuit; also confirm the gauge meets ampacity for the breaker.
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The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.