What Is the Voltage Drop for 3/0 AWG at 5A and 400 Feet?

3/0 AWG copper carrying 5 amps over 400 feet on a single-phase / DC circuit drops 0.3064 volts (0.2553% 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, 5A, 400ft · single-phase / DC
0.3064 V drop (0.2553% on 120V)
On 120V circuit0.2553%
On 240V circuit0.1277%

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
0.31V (0.26%)

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 × 400 × 5 × 0.0766) ÷ 1000 = 0.3064 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: (0.3064 ÷ 120) × 100 = 0.2553%
On 240V: (0.3064 ÷ 240) × 100 = 0.1277%

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 5A at different distances:

DistanceDrop (V)% on 120V% on 240VNEC (120V)
25ft0.0191V0.016%0.007979%OK
50ft0.0383V0.0319%0.016%OK
75ft0.0575V0.0479%0.0239%OK
100ft0.0766V0.0638%0.0319%OK
150ft0.1149V0.0958%0.0479%OK
200ft0.1532V0.1277%0.0638%OK
300ft0.2298V0.1915%0.0958%OK

Same Run, Different Wire Gauges

How does wire gauge affect voltage drop for 5A at 400 feet on 120V single-phase / DC? Only gauges whose branch-circuit OCP cap is at or above the 5A 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 AWG0.3064V0.2553%0.1277%OK
4/0 AWG0.2432V0.2027%0.1013%OK
250 kcmil0.206V0.1717%0.0858%OK
300 kcmil0.1716V0.143%0.0715%OK
350 kcmil0.1468V0.1223%0.0612%OK
500 kcmil0.1032V0.086%0.043%OK

Frequently Asked Questions

3/0 AWG carrying 5A over 400ft has a 0.3064V drop (0.2553% on 120V). Reference: 0.1277% 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.
Voltage drop is proportional to distance. The formula multiplies by 2 × the distance (out and back). Doubling the run doubles the drop.
3/0 AWG already sits within the 3% branch-circuit drop target at these inputs (0.2553% 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 0.2553%, 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.
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.