What Is the Voltage Drop for 3/0 AWG at 45A and 175 Feet?
Running 45A through 3/0 AWG copper for 175 feet on a single-phase / DC circuit produces a 1.21-volt drop. On a 120V source that is 1.01%; on 240V it is 0.5027%. 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.
Use this citation when referencing this page.
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 →
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
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
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 45A at different distances:
| Distance | Drop (V) | % on 120V | % on 240V | NEC (120V) |
|---|---|---|---|---|
| 25ft | 0.1724V | 0.1436% | 0.0718% | OK |
| 50ft | 0.3447V | 0.2873% | 0.1436% | OK |
| 75ft | 0.5171V | 0.4309% | 0.2154% | OK |
| 100ft | 0.6894V | 0.5745% | 0.2873% | OK |
| 150ft | 1.03V | 0.8618% | 0.4309% | OK |
| 200ft | 1.38V | 1.15% | 0.5745% | OK |
| 300ft | 2.07V | 1.72% | 0.8618% | OK |
Same Run, Different Wire Gauges
How does wire gauge affect voltage drop for 45A at 175 feet on 120V single-phase / DC? Only gauges whose branch-circuit OCP cap is at or above the 45A load are listed, since thinner gauges would fail the ampacity check before drop even matters.