What Is the Voltage Drop for 4 AWG at 13A and 125 Feet?

4 AWG copper carrying 13 amps over 125 feet on a single-phase / DC circuit drops 1 volts (0.8342% on a 120V source). This sits within the 3% branch target and the 5% feeder+branch total target that NEC 210.19(A) Informational Note 4 cites. Both are planning targets, not code requirements.

4 AWG, 13A, 125ft · single-phase / DC
1 V drop (0.8342% on 120V)
On 120V circuit0.8342%
On 240V circuit0.4171%

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 →

4 AWG
1.00V (0.83%)

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 × 13 × 0.308) ÷ 1000 = 1 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: (1 ÷ 120) × 100 = 0.8342%
On 240V: (1 ÷ 240) × 100 = 0.4171%

How This Estimate Changes with Run Length and Gauge

Gauge Check

4 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 4 AWG at 13A at different distances:

DistanceDrop (V)% on 120V% on 240VNEC (120V)
25ft0.2002V0.1668%0.0834%OK
50ft0.4004V0.3337%0.1668%OK
75ft0.6006V0.5005%0.2503%OK
100ft0.8008V0.6673%0.3337%OK
150ft1.2V1%0.5005%OK
200ft1.6V1.33%0.6673%OK
300ft2.4V2%1%OK

Same Run, Different Wire Gauges

How does wire gauge affect voltage drop for 13A at 125 feet on 120V single-phase / DC? Only gauges whose branch-circuit OCP cap is at or above the 13A load are listed, since thinner gauges would fail the ampacity check before drop even matters.

GaugeDrop (V)% on 120V% on 240V3% Target (120V)
4 AWG1V0.8342%0.4171%OK
3 AWG0.7963V0.6635%0.3318%OK
2 AWG0.6305V0.5254%0.2627%OK
1 AWG0.5005V0.4171%0.2085%OK
1/0 AWG0.3965V0.3304%0.1652%OK
2/0 AWG0.3143V0.2619%0.1309%OK

Frequently Asked Questions

4 AWG carrying 13A over 125ft has a 1V drop (0.8342% on 120V). Reference: 0.4171% on 240V.
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 0.4171% on 240V versus 0.8342% on 120V.
On 120V, this run sits at 0.8342%, 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.
4 AWG already sits within the 3% branch-circuit drop target at these inputs (0.8342% on 120V). Going to a larger gauge is only useful if you want more headroom for future load growth, longer runs, or tighter drop targets like the 5% feeder+branch total recommendation used in sensitive or motor-heavy installations.
Voltage drop is proportional to distance. The formula multiplies by 2 × the distance (out and back). Doubling the run doubles the drop.
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.