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3-Phase Voltage Drop Calculator

Feeders, motor circuits and distribution at 208, 480 and 600 V — line-to-line drop with the √3 factor, power factor correction and parallel sets built in.

Voltage Drop
Find Wire Size
Max Length
Advanced — units, power factor, parallel sets, energy cost
PASS
Voltage Drop
Percent Drop
Voltage at Load
Power Lost
Wire Resistance
Ampacity 75°C
0%3% branch5% total8%+

Why √3 instead of 2

In a balanced three-phase circuit the return current of each phase flows through the other two phases rather than a dedicated return conductor, so the effective round-trip factor drops from 2 to √3 (≈1.732). That 13% saving — plus the higher voltages — is a big part of why industrial power is three-phase.

Motors deserve extra margin

A motor's starting inrush is typically 6× its running current, so a feeder that drops 3% at full load can sag 18% during starting — enough to drop out contactors or stall the start. For motor feeders, many engineers size for 2% running drop or verify the starting sag separately.

The formula — three-phase
Vd = √3 × I × L × R × PF ÷ 1000
Iline current, amps
Lone-way length, feet
RΩ/kft, Chapter 9 Table 8
PFpower factor of the load

√3 (≈1.732) replaces the single-phase ×2 — three-phase has no dedicated return conductor. Percent uses line-to-line voltage.

Worked example — 50 A over 200 ft of 4 AWG at 480 V, PF 0.85

  1. Vd = 1.732 × 50 × 200 × 0.308 × 0.85 ÷ 1000 = 4.53 V.
  2. Percent: ÷ 480 × 100 = 0.94%.
  3. 0.94% — comfortably inside 3%. High line voltage is the cheapest voltage-drop cure there is.

Frequently Asked Questions

Line-to-line or line-to-neutral?

This calculator computes line-to-line drop for a balanced load, which is the standard feeder calculation. For single-phase loads tapped off one phase, treat them as a 1-phase circuit at the phase voltage.

How do parallel sets change the result?

Each added parallel set divides the effective conductor resistance — two sets halve the drop. Per NEC 310.10(G), paralleled conductors must be 1/0 AWG or larger and matched in length, material and termination.

Built & maintained by Murugan Vellaichamy · Every calculation verified against NEC Chapter 9 Table 8 & Table 310.16 published values · Informational reference — not engineering advice