What Is the Voltage Drop for 3/0 AWG at 133A and 200 Feet?

3/0 AWG copper carrying 133 amps over 200 feet on a single-phase / DC circuit drops 4.08 volts (3.4% on a 120V source). This sits past the 3% target NEC 210.19(A) Informational Note 4 cites for branch circuits, but within the 5% target for feeder+branch total. Which one applies depends on whether this run is a branch circuit, a feeder, or a feeder+branch combined: if it's a branch circuit, it's past target; if it's a feeder alone or part of a feeder+branch combined system, the 5% total is the figure to check against whatever the upstream drop adds. Both are planning targets, not code requirements.

3/0 AWG, 133A, 200ft · single-phase / DC
4.08 V drop (3.4% on 120V)
On 120V circuit3.4%
On 240V circuit1.7%

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
4.08V (3.40%)

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 × 200 × 133 × 0.0766) ÷ 1000 = 4.08 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: (4.08 ÷ 120) × 100 = 3.4%
On 240V: (4.08 ÷ 240) × 100 = 1.7%

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 133A over 200ft on 120V is 4/0 AWG. 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 3/0 AWG at 133A at different distances:

DistanceDrop (V)% on 120V% on 240VNEC (120V)
25ft0.5094V0.4245%0.2122%OK
50ft1.02V0.849%0.4245%OK
75ft1.53V1.27%0.6367%OK
100ft2.04V1.7%0.849%OK
150ft3.06V2.55%1.27%OK
200ft4.08V3.4%1.7%Caution
300ft6.11V5.09%2.55%Past 5%

Same Run, Different Wire Gauges

How does wire gauge affect voltage drop for 133A at 200 feet on 120V single-phase / DC? Only gauges whose branch-circuit OCP cap is at or above the 133A 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 AWG4.08V3.4%1.7%Caution
4/0 AWG3.23V2.7%1.35%OK
250 kcmil2.74V2.28%1.14%OK
300 kcmil2.28V1.9%0.951%OK
350 kcmil1.95V1.63%0.8135%OK
500 kcmil1.37V1.14%0.5719%OK

Frequently Asked Questions

3/0 AWG carrying 133A over 200ft has a 4.08V drop (3.4% on 120V). Reference: 1.7% on 240V.
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 1.7% on 240V versus 3.4% on 120V.
Voltage drop is proportional to distance. The formula multiplies by 2 × the distance (out and back). Doubling the run doubles the drop.
Yes. Aluminum has roughly 1.3 to 1.4 times the resistance of copper at the NEC Chapter 9 Table 8 75°C reference temperature, so for the same voltage drop an aluminum conductor is typically one to two gauges larger than copper. The exact gap depends on whether ampacity or voltage drop is binding, and the install still needs anti-oxidant compound and aluminum-rated lugs.
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.
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.