What Is the Voltage Drop for 3/0 AWG at 164A and 125 Feet?

Running 164A through 3/0 AWG copper for 125 feet on a single-phase / DC circuit produces a 3.14-volt drop. On a 120V source that is 2.62%; on 240V it is 1.31%. 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, 164A, 125ft · single-phase / DC
3.14 V drop (2.62% on 120V)
On 120V circuit2.62%
On 240V circuit1.31%

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
3.14V (2.62%)

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 × 125 × 164 × 0.0766) ÷ 1000 = 3.14 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: (3.14 ÷ 120) × 100 = 2.62%
On 240V: (3.14 ÷ 240) × 100 = 1.31%

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 164A at different distances:

DistanceDrop (V)% on 120V% on 240VNEC (120V)
25ft0.6281V0.5234%0.2617%OK
50ft1.26V1.05%0.5234%OK
75ft1.88V1.57%0.7852%OK
100ft2.51V2.09%1.05%OK
150ft3.77V3.14%1.57%Caution
200ft5.02V4.19%2.09%Caution
300ft7.54V6.28%3.14%Past 5%

Same Run, Different Wire Gauges

How does wire gauge affect voltage drop for 164A at 125 feet on 120V single-phase / DC? Only gauges whose branch-circuit OCP cap is at or above the 164A 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 AWG3.14V2.62%1.31%OK
4/0 AWG2.49V2.08%1.04%OK
250 kcmil2.11V1.76%0.8798%OK
300 kcmil1.76V1.47%0.7329%OK
350 kcmil1.5V1.25%0.627%OK
500 kcmil1.06V0.8815%0.4407%OK

Frequently Asked Questions

3/0 AWG carrying 164A over 125ft has a 3.14V drop (2.62% on 120V). Reference: 1.31% 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.
On 120V, this run sits at 2.62%, 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 1.31% on 240V versus 2.62% 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.