What Is the Voltage Drop for 4/0 AWG at 112A and 50 Feet?

4/0 AWG copper carrying 112 amps over 50 feet on a single-phase / DC circuit drops 0.681 volts (0.5675% 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.

4/0 AWG, 112A, 50ft · single-phase / DC
0.681 V drop (0.5675% on 120V)
On 120V circuit0.5675%
On 240V circuit0.2837%

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 →

4/0 AWG
0.68V (0.57%)

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 × 50 × 112 × 0.0608) ÷ 1000 = 0.681 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: (0.681 ÷ 120) × 100 = 0.5675%
On 240V: (0.681 ÷ 240) × 100 = 0.2837%

How This Estimate Changes with Run Length and Gauge

Gauge Check

4/0 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 4/0 AWG at 112A at different distances:

DistanceDrop (V)% on 120V% on 240VNEC (120V)
25ft0.3405V0.2837%0.1419%OK
50ft0.681V0.5675%0.2837%OK
75ft1.02V0.8512%0.4256%OK
100ft1.36V1.13%0.5675%OK
150ft2.04V1.7%0.8512%OK
200ft2.72V2.27%1.13%OK
300ft4.09V3.4%1.7%Caution

Same Run, Different Wire Gauges

How does wire gauge affect voltage drop for 112A at 50 feet on 120V single-phase / DC? Only gauges whose branch-circuit OCP cap is at or above the 112A load are listed, since thinner gauges would fail the ampacity check before drop even matters.

GaugeDrop (V)% on 120V% on 240V3% Target (120V)
4/0 AWG0.681V0.5675%0.2837%OK
250 kcmil0.5768V0.4807%0.2403%OK
300 kcmil0.4805V0.4004%0.2002%OK
350 kcmil0.411V0.3425%0.1713%OK
500 kcmil0.289V0.2408%0.1204%OK
750 kcmil0.1915V0.1596%0.0798%OK

Frequently Asked Questions

4/0 AWG carrying 112A over 50ft has a 0.681V drop (0.5675% on 120V). Reference: 0.2837% on 240V.
Motors run hotter and can have trouble starting under load. Incandescent and halogen lighting dims. Some electronics misbehave at the low end of their input tolerance. Energy is wasted as I²R heating in the conductor. These are performance issues; high drop is not itself a code violation unless the specific installation cites a hard limit.
On 120V, this run sits at 0.5675%, 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 0.2837% on 240V versus 0.5675% on 120V.
4/0 AWG already sits within the 3% branch-circuit drop target at these inputs (0.5675% 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.