Running and starting are different cases

Our voltage-drop calculator takes a single current input at a time. When you evaluate a motor circuit, run two separate checks: one using full-load running amps (FLA) and a second using locked-rotor or inrush starting current from the motor nameplate.

Because across-the-line starting can pull five to six times running amps for several seconds, a wire gauge that loses only 1.1% while running can dip more than 6% during startup, causing contactors to chatter or high-pressure compressors to stall.

How do you calculate voltage drop?

Every metallic conductor has internal electrical resistance. As current flows through a run of copper or aluminum wire, part of the source voltage is lost as heat along the cable path. Using Ohm's law (V = I × R) and circular-mil resistivity at 75°C, the voltage lost across a two-wire circuit is:

VD=2 · K · I · LCM
(Single-phase / DC)
% Drop=VDVsource · 100%
(Percentage loss)

where:

  • VD – Total voltage drop between the supply panel and the load terminals, measured in volts (need a target gauge instead? Use the wire size calculator);
  • K – Conductor resistance constant at 75°C (K = 12.9 for copper and K = 21.2 for aluminum in Ω·CM/ft);
  • I – Load current flowing through the circuit in amps (estimate from wattage with our watts to amps calculator);
  • L – One-way wire distance in feet (the multiplier of 2 already accounts for the return conductor); and
  • CM – Conductor cross-sectional area in circular mils from NEC Chapter 9, Table 8.

Three-phase AC voltage drop equation

In a balanced three-phase system, the return currents cancel in phase opposition, so the round-trip factor of 2 is replaced by √3:

VD3Φ=√3 · K · I · LCM
(Balanced 3-phase)

Subtract VD from the source voltage (V_load = V_source − VD) to find the actual voltage delivered to the equipment terminals. Explore all related tools in our electrical calculators hub.

Illustrative comparison

460 V balanced three phase, 200 ft one-way, 6 AWG copper. The 180 A value is illustrative, not a universal motor multiplier.
ConditionCurrentEstimated volts lostEstimated percentage
Running30 A5.11 V1.11%
Illustrative start180 A30.65 V6.66%

Data needed for a real motor check

  1. 01

    Motor nameplate

    Record voltage, current, phase and rated characteristics.

  2. 02

    Starting method

    Across-the-line, soft starter and variable-frequency drive behavior differ.

  3. 03

    Source strength

    Transformer and upstream conductor impedance affect the available voltage.

  4. 04

    Driven load

    Acceleration time and required torque matter.

  5. 05

    Equipment limits

    Verify controller, protection and manufacturer voltage requirements.

Symptoms that require investigation

  • Slow or failed acceleration
  • Lights dimming or contactors dropping out
  • Repeated protective-device operation
  • Excessive conductor or connection heating
  • Large difference between calculated and measured operating voltage