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What size wire for 50 amps at 12V?

50 A over 10 ft one way at 12 V with a 3% drop limit needs 4 AWG copper. By current rating alone 8 AWG would do (50 A), so longer runs are decided by voltage drop and need thicker wire. The table gives every length from 5 to 50 ft.

Watts are converted: amps = watts / volts.
Source to load. The circuit is 2 x this length (out and back).

Use 4 AWG (21.2 mm²) copper or larger.

Voltage drop sets the size. 6 AWG would drop 3.29%, over your 3% limit. Ampacity alone would allow 8 AWG.

Check: 4 AWG (21.2 mm²)

Load current50 A
Wire in the circuit (out and back)2 x 10 ft = 20 ft
Resistance of 4 AWG0.2485 ohm per 1000 ft; 0.00497 ohm for this circuit
Voltage drop0.248 V = 2.07% within 3%
Voltage at the load11.75 V
Power lost in the wire12.4 W
Ampacity of 4 AWG85 A (NEC 310.16, 75 C) ok

Vd = I x 2L x R / 1000 = 50 x 2 x 10 x 0.2485 / 1000 = 0.248 V, and 0.248 / 12 = 2.07%. Length L in feet, R in ohms per 1000 ft.

AWGmm²Drop (V)Drop (%)At load (V)Rated (A)Result
180.826.38553.215.6210*drop and current
161.314.01633.477.9813*drop and current
142.082.52521.049.4720drop and current
123.311.58813.2310.4125drop and current
105.260.9998.321135drop and current
88.370.6285.2411.3750too much drop
613.30.3953.2911.665too much drop
421.20.2482.0711.7585smallest that passes
326.70.1971.6411.8100passes
233.60.1561.311.84115passes
142.40.1241.0311.88130passes
1/053.50.0980.8211.9150passes
2/067.40.0780.6511.92175passes
3/0850.0620.5111.94200passes
4/01070.0490.4111.95230passes

* chassis-wiring guidance; 14 AWG and up: NEC Table 310.16, copper, 75 C column.

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50 A wire size by length

One-way length12V, 3%12V, 10%24V, 3%
5 ft (1.5 m)88*8*
10 ft (3 m)48*8
15 ft (4.6 m)386
20 ft (6.1 m)264
25 ft (7.6 m)164
30 ft (9.1 m)1/063
40 ft (12.2 m)2/042
50 ft (15.2 m)3/031

Copper, minimum AWG. * ampacity, not voltage drop, sets this size. "over 4/0" means no single copper conductor up to 4/0 passes: shorten the run, use a higher system voltage or run conductors in parallel. Length is one way; the math uses twice that, out and back.

Worked example

50 A at 12 V, 10 ft one way, 3% drop allowed. The current goes out and comes back, so the circuit is 2 x 10 = 20 ft of wire, and the allowed drop is 12 x 3 / 100 = 0.36 V. Voltage drop is Vd = I x 2L x R / 1000, with R in ohms per 1000 ft:

Answer: 4 AWG (21.2 mm²), rated 85 A, the smallest size that passes both.

Same current at 24V

At 24 V the same 50 A may drop twice as many volts for the same 3%, so a 10 ft run needs 8 AWG instead of 4 AWG. The current rating does not change with voltage, so the ampacity floor stays the same. See the 24V chart.

Before you buy wire

Questions

What gauge wire for 50 amps at 12V over 20 feet?

2 at 3% drop and 6 at 10%, copper AWG.

How much voltage is lost carrying 50 amps through 10 feet of 4 AWG?

0.248 V, which is 2.07% of 12 V, and 12.4 W turned into heat in the wire. That uses 20 ft of wire, out and back.

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