What Is the Voltage Drop for 3 AWG at 40A and 100 Feet?

3 AWG at 40A and 100 feet: 1.96V drop (1.63% on 120V), computed on the single-phase / DC basis. Every conductor has resistance, and longer runs at higher currents drop more voltage. Use this calculation to check whether your run clears the 3% branch-circuit drop target before pulling wire.

3 AWG, 40A, 100ft · single-phase / DC
1.96 V drop (1.63% on 120V)
On 120V circuit1.63%
On 240V circuit0.8167%

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
1.96V (1.63%)

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 × 100 × 40 × 0.245) ÷ 1000 = 1.96 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: (1.96 ÷ 120) × 100 = 1.63%
On 240V: (1.96 ÷ 240) × 100 = 0.8167%

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 40A at different distances:

DistanceDrop (V)% on 120V% on 240VNEC (120V)
25ft0.49V0.4083%0.2042%OK
50ft0.98V0.8167%0.4083%OK
75ft1.47V1.23%0.6125%OK
100ft1.96V1.63%0.8167%OK
150ft2.94V2.45%1.23%OK
200ft3.92V3.27%1.63%Caution
300ft5.88V4.9%2.45%Caution

Same Run, Different Wire Gauges

How does wire gauge affect voltage drop for 40A at 100 feet on 120V single-phase / DC? Only gauges whose branch-circuit OCP cap is at or above the 40A load are listed, since thinner gauges would fail the ampacity check before drop even matters.

GaugeDrop (V)% on 120V% on 240V3% Target (120V)
3 AWG1.96V1.63%0.8167%OK
2 AWG1.55V1.29%0.6467%OK
1 AWG1.23V1.03%0.5133%OK
1/0 AWG0.976V0.8133%0.4067%OK
2/0 AWG0.7736V0.6447%0.3223%OK
3/0 AWG0.6128V0.5107%0.2553%OK

Frequently Asked Questions

3 AWG carrying 40A over 100ft has a 1.96V drop (1.63% on 120V). Reference: 0.8167% 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 1.63%, 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 (1.63% 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 0.8167% on 240V versus 1.63% 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.