What Is the Voltage Drop for 3/0 AWG at 190A and 50 Feet?

3/0 AWG copper carrying 190 amps over 50 feet on a single-phase / DC circuit drops 1.46 volts (1.21% 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, 190A, 50ft · single-phase / DC
1.46 V drop (1.21% on 120V)
On 120V circuit1.21%
On 240V circuit0.6064%

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
1.46V (1.21%)

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 × 190 × 0.0766) ÷ 1000 = 1.46 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: (1.46 ÷ 120) × 100 = 1.21%
On 240V: (1.46 ÷ 240) × 100 = 0.6064%

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 190A at different distances:

DistanceDrop (V)% on 120V% on 240VNEC (120V)
25ft0.7277V0.6064%0.3032%OK
50ft1.46V1.21%0.6064%OK
75ft2.18V1.82%0.9096%OK
100ft2.91V2.43%1.21%OK
150ft4.37V3.64%1.82%Caution
200ft5.82V4.85%2.43%Caution
300ft8.73V7.28%3.64%Past 5%

Same Run, Different Wire Gauges

How does wire gauge affect voltage drop for 190A at 50 feet on 120V single-phase / DC? Only gauges whose branch-circuit OCP cap is at or above the 190A 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 AWG1.46V1.21%0.6064%OK
4/0 AWG1.16V0.9627%0.4813%OK
250 kcmil0.9785V0.8154%0.4077%OK
300 kcmil0.8151V0.6793%0.3396%OK
350 kcmil0.6973V0.5811%0.2905%OK
500 kcmil0.4902V0.4085%0.2043%OK

Frequently Asked Questions

3/0 AWG carrying 190A over 50ft has a 1.46V drop (1.21% on 120V). Reference: 0.6064% 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.
3/0 AWG already sits within the 3% branch-circuit drop target at these inputs (1.21% 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.
Voltage drop is proportional to distance. The formula multiplies by 2 × the distance (out and back). Doubling the run doubles the drop.
On 120V, this run sits at 1.21%, 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.