What Is the Voltage Drop for 4/0 AWG at 88A and 50 Feet?

4/0 AWG copper carrying 88 amps over 50 feet on a single-phase / DC circuit drops 0.535 volts (0.4459% 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, 88A, 50ft · single-phase / DC
0.535 V drop (0.4459% on 120V)
On 120V circuit0.4459%
On 240V circuit0.2229%

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
0.54V (0.45%)

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 × 88 × 0.0608) ÷ 1000 = 0.535 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: (0.535 ÷ 120) × 100 = 0.4459%
On 240V: (0.535 ÷ 240) × 100 = 0.2229%

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 88A at different distances:

DistanceDrop (V)% on 120V% on 240VNEC (120V)
25ft0.2675V0.2229%0.1115%OK
50ft0.535V0.4459%0.2229%OK
75ft0.8026V0.6688%0.3344%OK
100ft1.07V0.8917%0.4459%OK
150ft1.61V1.34%0.6688%OK
200ft2.14V1.78%0.8917%OK
300ft3.21V2.68%1.34%OK

Same Run, Different Wire Gauges

How does wire gauge affect voltage drop for 88A at 50 feet on 120V single-phase / DC? Only gauges whose branch-circuit OCP cap is at or above the 88A 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 AWG0.535V0.4459%0.2229%OK
250 kcmil0.4532V0.3777%0.1888%OK
300 kcmil0.3775V0.3146%0.1573%OK
350 kcmil0.323V0.2691%0.1346%OK
500 kcmil0.227V0.1892%0.0946%OK
750 kcmil0.1505V0.1254%0.0627%OK

Frequently Asked Questions

4/0 AWG carrying 88A over 50ft has a 0.535V drop (0.4459% on 120V). Reference: 0.2229% 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.
4/0 AWG already sits within the 3% branch-circuit drop target at these inputs (0.4459% 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 0.4459%, 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 0.2229% on 240V versus 0.4459% on 120V.
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.