What Is the Voltage Drop for 3 AWG at 50A and 125 Feet?

Running 50A through 3 AWG copper for 125 feet on a single-phase / DC circuit produces a 3.06-volt drop. On a 120V source that is 2.55%; on 240V it is 1.28%. NEC 210.19(A) Informational Note 4 recommends keeping branch-circuit drop at or below 3% and total feeder+branch drop at or below 5%, these are performance recommendations, not code requirements.

3 AWG, 50A, 125ft · single-phase / DC
3.06 V drop (2.55% on 120V)
On 120V circuit2.55%
On 240V circuit1.28%

Circuit basis: This uses the single-phase / DC round-trip formula (factor of 2) for the voltage drop across the two circuit conductors. For a three-phase line-to-line run use the three-phase version of the page (append ?type=3ph). Switch to the three-phase version →

3 AWG
3.06V (2.55%)

Assumes a 120V source on a single-phase / DC circuit. Use the circuit-basis link above to switch between single-phase/DC and three-phase.

Voltage Drop Formula (single-phase / DC)

Vdrop = (2 × L × I × R) ÷ 1000

(2 × 125 × 50 × 0.245) ÷ 1000 = 3.06 V

DC and single-phase AC use the round-trip factor of 2. Current travels out to the load on one conductor and returns on another.

For a three-phase circuit at the same amps and distance, see the three-phase version (uses √3 instead of 2, so the drop is about 13.4% lower).

Percentage

%VD = (Vdrop ÷ Vsource) × 100

On 120V: (3.06 ÷ 120) × 100 = 2.55%
On 240V: (3.06 ÷ 240) × 100 = 1.28%

How This Estimate Changes with Run Length and Gauge

Gauge Check

3 AWG clears the 3% drop target at these inputs. A smaller conductor may also meet it with less margin. See the minimum gauge for this load and distance.

Impact of Distance

Voltage drop is proportional to distance. Here is 3 AWG at 50A at different distances:

DistanceDrop (V)% on 120V% on 240VNEC (120V)
25ft0.6125V0.5104%0.2552%OK
50ft1.23V1.02%0.5104%OK
75ft1.84V1.53%0.7656%OK
100ft2.45V2.04%1.02%OK
150ft3.68V3.06%1.53%Caution
200ft4.9V4.08%2.04%Caution
300ft7.35V6.13%3.06%Past 5%

Same Run, Different Wire Gauges

How does wire gauge affect voltage drop for 50A at 125 feet on 120V single-phase / DC? Only gauges whose branch-circuit OCP cap is at or above the 50A load are listed, since thinner gauges would fail the ampacity check before drop even matters.

GaugeDrop (V)% on 120V% on 240V3% Target (120V)
3 AWG3.06V2.55%1.28%OK
2 AWG2.43V2.02%1.01%OK
1 AWG1.93V1.6%0.8021%OK
1/0 AWG1.53V1.27%0.6354%OK
2/0 AWG1.21V1.01%0.5036%OK
3/0 AWG0.9575V0.7979%0.399%OK

Frequently Asked Questions

3 AWG carrying 50A over 125ft has a 3.06V drop (2.55% on 120V). Reference: 1.28% on 240V.
Use a larger wire gauge (lower AWG number), shorten the run, or increase the source voltage. Each option reduces the percentage drop, and higher source voltage is usually the most effective change for long runs because the drop is a smaller fraction of a larger reference.
On 120V, this run sits at 2.55%, which is within the 3% branch and 5% feeder+branch total drop targets. NEC 210.19(A) Informational Note 4 cites 3% for branch circuits and 5% for total feeder+branch drop as performance recommendations, not hard code requirements.
Same wire, same amps, same distance: the volts dropped are identical. But the percentage is worse on 120V because the drop is a larger fraction of the source voltage. This run would be 1.28% on 240V versus 2.55% on 120V.
Yes. Aluminum has roughly 1.3 to 1.4 times the resistance of copper at the NEC Chapter 9 Table 8 75°C reference temperature, so for the same voltage drop an aluminum conductor is typically one to two gauges larger than copper. The exact gap depends on whether ampacity or voltage drop is binding, and the install still needs anti-oxidant compound and aluminum-rated lugs.
This calculator provides estimates for reference purposes only. Always consult a licensed electrician and verify compliance with the National Electrical Code (NEC) and local electrical codes before performing any electrical work.