What Is the Voltage Drop for 1/0 AWG at 71A and 50 Feet?

Running 71A through 1/0 AWG copper for 50 feet on a single-phase / DC circuit produces a 0.8662-volt drop. On a 120V source that is 0.7218%; on 240V it is 0.3609%. 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.

1/0 AWG, 71A, 50ft · single-phase / DC
0.8662 V drop (0.7218% on 120V)
On 120V circuit0.7218%
On 240V circuit0.3609%

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 →

1/0 AWG
0.87V (0.72%)

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 × 71 × 0.122) ÷ 1000 = 0.8662 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: (0.8662 ÷ 120) × 100 = 0.7218%
On 240V: (0.8662 ÷ 240) × 100 = 0.3609%

How This Estimate Changes with Run Length and Gauge

Gauge Check

1/0 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 1/0 AWG at 71A at different distances:

DistanceDrop (V)% on 120V% on 240VNEC (120V)
25ft0.4331V0.3609%0.1805%OK
50ft0.8662V0.7218%0.3609%OK
75ft1.3V1.08%0.5414%OK
100ft1.73V1.44%0.7218%OK
150ft2.6V2.17%1.08%OK
200ft3.46V2.89%1.44%OK
300ft5.2V4.33%2.17%Caution

Same Run, Different Wire Gauges

How does wire gauge affect voltage drop for 71A at 50 feet on 120V single-phase / DC? Only gauges whose branch-circuit OCP cap is at or above the 71A load are listed, since thinner gauges would fail the ampacity check before drop even matters.

GaugeDrop (V)% on 120V% on 240V3% Target (120V)
1/0 AWG0.8662V0.7218%0.3609%OK
2/0 AWG0.6866V0.5721%0.2861%OK
3/0 AWG0.5439V0.4532%0.2266%OK
4/0 AWG0.4317V0.3597%0.1799%OK
250 kcmil0.3657V0.3047%0.1524%OK
300 kcmil0.3046V0.2538%0.1269%OK

Frequently Asked Questions

1/0 AWG carrying 71A over 50ft has a 0.8662V drop (0.7218% on 120V). Reference: 0.3609% on 240V.
On 120V, this run sits at 0.7218%, 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 0.3609% on 240V versus 0.7218% on 120V.
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.
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.