What Is the Voltage Drop for 3/0 AWG at 56A and 250 Feet?

3/0 AWG copper carrying 56 amps over 250 feet on a single-phase / DC circuit drops 2.14 volts (1.79% 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.

3/0 AWG, 56A, 250ft · single-phase / DC
2.14 V drop (1.79% on 120V)
On 120V circuit1.79%
On 240V circuit0.8937%

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 →

3/0 AWG
2.14V (1.79%)

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 × 250 × 56 × 0.0766) ÷ 1000 = 2.14 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: (2.14 ÷ 120) × 100 = 1.79%
On 240V: (2.14 ÷ 240) × 100 = 0.8937%

How This Estimate Changes with Run Length and Gauge

Gauge Check

3/0 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 3/0 AWG at 56A at different distances:

DistanceDrop (V)% on 120V% on 240VNEC (120V)
25ft0.2145V0.1787%0.0894%OK
50ft0.429V0.3575%0.1787%OK
75ft0.6434V0.5362%0.2681%OK
100ft0.8579V0.7149%0.3575%OK
150ft1.29V1.07%0.5362%OK
200ft1.72V1.43%0.7149%OK
300ft2.57V2.14%1.07%OK

Same Run, Different Wire Gauges

How does wire gauge affect voltage drop for 56A at 250 feet on 120V single-phase / DC? Only gauges whose branch-circuit OCP cap is at or above the 56A load are listed, since thinner gauges would fail the ampacity check before drop even matters.

GaugeDrop (V)% on 120V% on 240V3% Target (120V)
3/0 AWG2.14V1.79%0.8937%OK
4/0 AWG1.7V1.42%0.7093%OK
250 kcmil1.44V1.2%0.6008%OK
300 kcmil1.2V1%0.5005%OK
350 kcmil1.03V0.8563%0.4282%OK
500 kcmil0.7224V0.602%0.301%OK

Frequently Asked Questions

3/0 AWG carrying 56A over 250ft has a 2.14V drop (1.79% on 120V). Reference: 0.8937% 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 0.8937% on 240V versus 1.79% on 120V.
Voltage drop is proportional to distance. The formula multiplies by 2 × the distance (out and back). Doubling the run doubles the drop.
On 120V, this run sits at 1.79%, 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.
3/0 AWG already sits within the 3% branch-circuit drop target at these inputs (1.79% 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.
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.