What Is the Voltage Drop for 3/0 AWG at 107A and 50 Feet?

Running 107A through 3/0 AWG copper for 50 feet on a single-phase / DC circuit produces a 0.8196-volt drop. On a 120V source that is 0.683%; on 240V it is 0.3415%. 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.

3/0 AWG, 107A, 50ft · single-phase / DC
0.8196 V drop (0.683% on 120V)
On 120V circuit0.683%
On 240V circuit0.3415%

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
0.82V (0.68%)

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 × 107 × 0.0766) ÷ 1000 = 0.8196 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: (0.8196 ÷ 120) × 100 = 0.683%
On 240V: (0.8196 ÷ 240) × 100 = 0.3415%

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 107A at different distances:

DistanceDrop (V)% on 120V% on 240VNEC (120V)
25ft0.4098V0.3415%0.1708%OK
50ft0.8196V0.683%0.3415%OK
75ft1.23V1.02%0.5123%OK
100ft1.64V1.37%0.683%OK
150ft2.46V2.05%1.02%OK
200ft3.28V2.73%1.37%OK
300ft4.92V4.1%2.05%Caution

Same Run, Different Wire Gauges

How does wire gauge affect voltage drop for 107A at 50 feet on 120V single-phase / DC? Only gauges whose branch-circuit OCP cap is at or above the 107A 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 AWG0.8196V0.683%0.3415%OK
4/0 AWG0.6506V0.5421%0.2711%OK
250 kcmil0.551V0.4592%0.2296%OK
300 kcmil0.459V0.3825%0.1913%OK
350 kcmil0.3927V0.3272%0.1636%OK
500 kcmil0.2761V0.2301%0.115%OK

Frequently Asked Questions

3/0 AWG carrying 107A over 50ft has a 0.8196V drop (0.683% on 120V). Reference: 0.3415% 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 0.3415% on 240V versus 0.683% on 120V.
3/0 AWG already sits within the 3% branch-circuit drop target at these inputs (0.683% 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.
On 120V, this run sits at 0.683%, 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.
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.