AWG Wire Gauge Calculator — size, resistance and voltage drop

Convert AWG to mm², look up ampacity and resistance per metre, and pick a gauge for a given current and run length.

Example: AWG 14 copper carrying 10 A over 5 m drops 807.3 mV and wastes 8.073 W.

Formula

d = 0.127 × 92^((36 − n)/39) mm    R = ρL / A

Worked example

AWG 14 copper carrying 10 A over 5 m drops 807.3 mV and wastes 8.073 W.

  1. d = 0.127 × 92^((36 − n)/39) mm

    d = 0.127 × 92^((36 − 14)/39)

    d = 1.6277 mm

    AWG is a geometric series — every 6 gauges roughly doubles the diameter.

  2. R = ρ × L / A

    R = 1.680e-8 × 10 / 2.081e-6

    R = 80.73 mΩ

    L is doubled because the current has to return.

  3. V_drop = I × R

    V_drop = 10 A × 80.73 mΩ

    V_drop = 807.3 mV

Frequently asked questions

How many amps can 14 AWG wire carry?

Around 32 A for short chassis wiring in free air, but only about 5.9 A for long power-transmission runs. The gap is entirely about heat dissipation: a short wire in open air sheds heat easily, while a long bundled run in conduit does not. For installed wiring, follow your local electrical code rather than either figure.

Why does the calculation double my cable length?

Because current has to get back. A 5 m run means 10 m of conductor in the loop, and the drop happens along all of it. Halving the answer is the single most common mistake in voltage-drop calculations.

What is the 3% voltage drop rule?

A convention that the drop across a feeder run should stay under 3% of supply voltage, so the load actually sees close to its nominal voltage. It matters far more at low voltages — 0.36 V is 3% of 12 V but only 0.15% of 240 V, which is why 12 V systems need surprisingly thick cable.

How much worse is aluminium than copper?

About 58% more resistive for the same cross-section, so aluminium needs roughly two AWG sizes thicker to match copper. It is lighter and cheaper per amp, which is why utilities use it, but it also creeps under terminal screws and needs connectors rated for it.

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