What Is the Voltage Drop for 3 AWG at 45A and 75 Feet?

3 AWG copper carrying 45 amps over 75 feet on a single-phase / DC circuit drops 1.65 volts (1.38% 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 AWG, 45A, 75ft · single-phase / DC
1.65 V drop (1.38% on 120V)
On 120V circuit1.38%
On 240V circuit0.6891%

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 AWG
1.65V (1.38%)

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 × 75 × 45 × 0.245) ÷ 1000 = 1.65 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: (1.65 ÷ 120) × 100 = 1.38%
On 240V: (1.65 ÷ 240) × 100 = 0.6891%

How This Estimate Changes with Run Length and Gauge

Gauge Check

3 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 AWG at 45A at different distances:

DistanceDrop (V)% on 120V% on 240VNEC (120V)
25ft0.5513V0.4594%0.2297%OK
50ft1.1V0.9188%0.4594%OK
75ft1.65V1.38%0.6891%OK
100ft2.21V1.84%0.9188%OK
150ft3.31V2.76%1.38%OK
200ft4.41V3.68%1.84%Caution
300ft6.62V5.51%2.76%Past 5%

Same Run, Different Wire Gauges

How does wire gauge affect voltage drop for 45A at 75 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.

GaugeDrop (V)% on 120V% on 240V3% Target (120V)
3 AWG1.65V1.38%0.6891%OK
2 AWG1.31V1.09%0.5456%OK
1 AWG1.04V0.8663%0.4331%OK
1/0 AWG0.8235V0.6862%0.3431%OK
2/0 AWG0.6527V0.5439%0.272%OK
3/0 AWG0.5171V0.4309%0.2154%OK

Frequently Asked Questions

3 AWG carrying 45A over 75ft has a 1.65V drop (1.38% on 120V). Reference: 0.6891% on 240V.
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 1.38%, 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.
3 AWG already sits within the 3% branch-circuit drop target at these inputs (1.38% 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.
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 0.6891% on 240V versus 1.38% on 120V.
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.