What Is the Voltage Drop for 4/0 AWG at 82A and 400 Feet?

4/0 AWG at 82A and 400 feet: 3.99V drop (3.32% on 120V), computed on the single-phase / DC basis. Every conductor has resistance, and longer runs at higher currents drop more voltage. Use this calculation to check whether your run clears the 3% branch-circuit drop target before pulling wire.

4/0 AWG, 82A, 400ft · single-phase / DC
3.99 V drop (3.32% on 120V)
On 120V circuit3.32%
On 240V circuit1.66%

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
3.99V (3.32%)

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 × 82 × 0.0608) ÷ 1000 = 3.99 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: (3.99 ÷ 120) × 100 = 3.32%
On 240V: (3.99 ÷ 240) × 100 = 1.66%

How This Estimate Changes with Run Length and Gauge

Gauge That Meets the 3% Target

The smallest gauge in our table that clears the 3% drop target at 82A over 400ft on 120V is 250 kcmil. Shorter runs, higher source voltage, or a higher drop tolerance (feeder-only applications often accept up to 5%) can change the pick. Run the full wire-size calculator with your actual variables.

Impact of Distance

Voltage drop is proportional to distance. Here is 4/0 AWG at 82A at different distances:

DistanceDrop (V)% on 120V% on 240VNEC (120V)
25ft0.2493V0.2077%0.1039%OK
50ft0.4986V0.4155%0.2077%OK
75ft0.7478V0.6232%0.3116%OK
100ft0.9971V0.8309%0.4155%OK
150ft1.5V1.25%0.6232%OK
200ft1.99V1.66%0.8309%OK
300ft2.99V2.49%1.25%OK

Same Run, Different Wire Gauges

How does wire gauge affect voltage drop for 82A at 400 feet on 120V single-phase / DC? Only gauges whose branch-circuit OCP cap is at or above the 82A 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 AWG3.99V3.32%1.66%Caution
250 kcmil3.38V2.82%1.41%OK
300 kcmil2.81V2.35%1.17%OK
350 kcmil2.41V2.01%1%OK
500 kcmil1.69V1.41%0.7052%OK
750 kcmil1.12V0.9348%0.4674%OK

Frequently Asked Questions

4/0 AWG carrying 82A over 400ft has a 3.99V drop (3.32% on 120V). Reference: 1.66% on 240V.
On 120V, this run sits at 3.32%, which is past the 3% branch target; within the 5% feeder+branch total. 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 run is at 3.32% on 120V, past the 3% branch-circuit drop target. If you want to land under 3% at 82A over 400ft on 120V, the smallest gauge in our table that clears it is 250 kcmil at 2.82%. Going up one size from 4/0 AWG is not always enough, each AWG step only drops the resistance by roughly 20-25%, so on long runs or high currents you often have to skip one or two sizes to meet the target. NEC 210.19(A) Informational Note 4 frames 3% as a recommendation, not a code requirement, so the right answer for you also depends on the load (motor startup, sensitive electronics) and how much drop is tolerable.
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 1.66% on 240V versus 3.32% on 120V.
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.