What Is the Voltage Drop for 3/0 AWG at 168A and 100 Feet?

Running 168A through 3/0 AWG copper for 100 feet on a single-phase / DC circuit produces a 2.57-volt drop. On a 120V source that is 2.14%; on 240V it is 1.07%. 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.

3/0 AWG, 168A, 100ft · single-phase / DC
2.57 V drop (2.14% on 120V)
On 120V circuit2.14%
On 240V circuit1.07%

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
2.57V (2.14%)

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 × 168 × 0.0766) ÷ 1000 = 2.57 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: (2.57 ÷ 120) × 100 = 2.14%
On 240V: (2.57 ÷ 240) × 100 = 1.07%

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 168A at different distances:

DistanceDrop (V)% on 120V% on 240VNEC (120V)
25ft0.6434V0.5362%0.2681%OK
50ft1.29V1.07%0.5362%OK
75ft1.93V1.61%0.8043%OK
100ft2.57V2.14%1.07%OK
150ft3.86V3.22%1.61%Caution
200ft5.15V4.29%2.14%Caution
300ft7.72V6.43%3.22%Past 5%

Same Run, Different Wire Gauges

How does wire gauge affect voltage drop for 168A at 100 feet on 120V single-phase / DC? Only gauges whose branch-circuit OCP cap is at or above the 168A 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 AWG2.57V2.14%1.07%OK
4/0 AWG2.04V1.7%0.8512%OK
250 kcmil1.73V1.44%0.721%OK
300 kcmil1.44V1.2%0.6006%OK
350 kcmil1.23V1.03%0.5138%OK
500 kcmil0.8669V0.7224%0.3612%OK

Frequently Asked Questions

3/0 AWG carrying 168A over 100ft has a 2.57V drop (2.14% on 120V). Reference: 1.07% 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 2.14%, 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.
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 1.07% on 240V versus 2.14% on 120V.
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.