Three-phase voltage drop calculator

In a balanced three-phase circuit the line-to-line voltage drop is √3 (1.732) × current × resistance per foot × one-way length, instead of 2 × for single-phase. This page starts with a 100-amp, 480-volt load 200 feet away on 1/0 copper, which drops 4.23 V (0.88%). VoltageDrop also finds the smallest copper or aluminum size that carries the current within your limit.

Copper or aluminum, AWG / kcmil

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    Enter the line-to-line voltage, for example 208 or 480. Power loss is shown for all three conductors.

    How the voltage drop calculator works

    VoltageDrop uses VD = 2 × I × R × L ÷ 1000 for DC and single-phase circuits and VD = 1.732 × I × R × L ÷ 1000 for three-phase, where I is the current in amps, R the conductor resistance in ohms per 1000 ft and L the one-way length in feet. Percent drop = VD ÷ supply voltage × 100. The suggested wire is the smallest size whose drop is within your limit and whose ampacity covers the current (125% of it for a continuous load).

    Wire gauge chart

    Sizemm²Copper Ω/1000 ftAluminum Ω/1000 ftCopper amps (75 °C)Aluminum amps (75 °C)
    18 AWG0.8237.95———
    16 AWG1.314.99———
    14 AWG2.083.14—20 (15 A breaker)—
    12 AWG3.311.983.2525 (20 A breaker)20 (15 A breaker)
    10 AWG5.2611.242.0435 (30 A breaker)30 (25 A breaker)
    8 AWG8.3670.7781.285040
    6 AWG13.30.4910.8086550
    4 AWG21.150.3080.5088565
    3 AWG26.670.2450.40310075
    2 AWG33.620.1940.31911590
    1 AWG42.410.1540.253130100
    1/0 AWG53.490.1220.201150120
    2/0 AWG67.430.09670.159175135
    3/0 AWG85.010.07660.126200155
    4/0 AWG107.20.06080.1230180
    250 kcmil1270.05150.0847255205
    300 kcmil1520.04290.0707285230
    350 kcmil1770.03670.0605310250
    400 kcmil2030.03210.0529335270
    500 kcmil2530.02580.0424380310

    Resistance: NEC Chapter 9 Table 8, stranded uncoated copper and aluminum, DC at 75 °C. Ampacity: NEC Table 310.16, 75 °C column (not more than three current-carrying conductors, 30 °C ambient); breaker limits for 14–10 AWG from NEC 240.4(D). 18 and 16 AWG are shown for low-voltage DC only.

    Limits of this calculator

    Results are estimates for planning. The calculation uses DC resistance and ignores reactance and power factor, conductor temperature below 75 °C, and derating for heat, conduit fill or bundling. Terminal temperature ratings, insulation type, local codes and the equipment instructions can all require a larger wire. Have a licensed electrician design and inspect mains-voltage work.

    Frequently asked questions

    What is the three-phase voltage drop formula?

    VD = 1.732 × I × R × L ÷ 1000, with R in ohms per 1000 ft and L the one-way length in feet.

    Why is three-phase drop lower than single-phase?

    The phase currents share the return path, so the factor is 1.732 instead of 2 for the same current.

    Does this include power factor and reactance?

    No, it uses DC resistance, which is the usual simplified method. For large conductors and low power factors, NEC Chapter 9 Table 9 gives AC impedance values.

    Is VoltageDrop free?

    Yes, with no sign-up or ads.

    Are my inputs saved?

    Yes, in this browser only.

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