24V Wire Size Calculator

Use our 24V wire size calculator to know the area, diameter, or AWG of your 24V wire.

Clear
Gauge needed for a 3% dropAWG 8 or thickerlower AWG numbers are thicker wire — the scale runs backwards
Wire resistance51.0914 mΩround trip of 16 m of copper at 20 °C
Conductor diameter2.5882 mm101.9 mils, AWG 10
Cross-sectional area5.2612 mm²10,383 circular mils
Resistivity at 20 °C16.8 nΩ·m0% above the 20 °C figure
Resistance per metre3.1932 mΩ/m
Voltage drop1.0218 V4.258% of the supply
Power lost in the wire20.4366 Wall of it as heat, along the whole run
Against a 3% drop limitexceeds it by 1.26 percentage points3% on a branch circuit is the usual recommendation, 5% overall
Load resistance implied1.1489 Ω
AWG 412.7088 mΩ0.249× the resistance — six gauges down is almost exactly a quarter
AWG 725.4816 mΩ0.499× the resistance
AWG 13102.44 mΩ2.005× the resistance
AWG 16205.3953 mΩ4.02× the resistance

The formula

R = ρL ÷ A; AWG diameter = 0.127 mm × 92^((36−n)/39)

The gauge scale runs backwards, and geometrically

American Wire Gauge numbers get smaller as the wire gets thicker, and the series is geometric: 36 AWG is 0.005 inches, and each 39 gauges spans a factor of 92 in diameter. Two useful consequences fall out of that. Three gauges down doubles the cross-sectional area, and six gauges down quadruples it — so six gauges down quarters the resistance, almost exactly.

Because the formula is exact, this page computes diameters rather than looking them up. Published tables round, and rounded diameters get squared into areas, which compounds the error.

Voltage drop is usually what sizes a cable, not the current rating. A long run at modest current can easily exceed the customary 3% limit while remaining far below the wire's thermal capacity, and the fix is a thicker conductor. Remember the current goes out and comes back, so the resistance that matters is the round trip — using the one-way length halves the answer.

Temperature matters more than people expect. Copper's resistivity rises about 0.4% per degree, so a cable running at 75 °C has roughly 22% more resistance than the 20 °C table value. Sizing from cold figures understates the drop under load.