What Is the Voltage Drop for 6 AWG at 13A and 50 Feet?

6 AWG copper carrying 13 amps over 50 feet on a single-phase / DC circuit drops 0.6383 volts (0.5319% 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.

6 AWG, 13A, 50ft · single-phase / DC
0.6383 V drop (0.5319% on 120V)
On 120V circuit0.5319%
On 240V circuit0.266%

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 →

6 AWG
0.64V (0.53%)

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 × 13 × 0.491) ÷ 1000 = 0.6383 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: (0.6383 ÷ 120) × 100 = 0.5319%
On 240V: (0.6383 ÷ 240) × 100 = 0.266%

How This Estimate Changes with Run Length and Gauge

Gauge Check

6 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 6 AWG at 13A at different distances:

DistanceDrop (V)% on 120V% on 240VNEC (120V)
25ft0.3192V0.266%0.133%OK
50ft0.6383V0.5319%0.266%OK
75ft0.9574V0.7979%0.3989%OK
100ft1.28V1.06%0.5319%OK
150ft1.91V1.6%0.7979%OK
200ft2.55V2.13%1.06%OK
300ft3.83V3.19%1.6%Caution

Same Run, Different Wire Gauges

How does wire gauge affect voltage drop for 13A at 50 feet on 120V single-phase / DC? Only gauges whose branch-circuit OCP cap is at or above the 13A load are listed, since thinner gauges would fail the ampacity check before drop even matters.

GaugeDrop (V)% on 120V% on 240V3% Target (120V)
6 AWG0.6383V0.5319%0.266%OK
4 AWG0.4004V0.3337%0.1668%OK
3 AWG0.3185V0.2654%0.1327%OK
2 AWG0.2522V0.2102%0.1051%OK
1 AWG0.2002V0.1668%0.0834%OK
1/0 AWG0.1586V0.1322%0.0661%OK

Frequently Asked Questions

6 AWG carrying 13A over 50ft has a 0.6383V drop (0.5319% on 120V). Reference: 0.266% 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.
6 AWG already sits within the 3% branch-circuit drop target at these inputs (0.5319% 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.
On 120V, this run sits at 0.5319%, 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.
Voltage drop is proportional to distance. The formula multiplies by 2 × the distance (out and back). Doubling the run doubles the drop.
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.