MachineCalcs

Voltage Drop Calculator

Estimate voltage drop and percent drop from phase, material, wire size, current, voltage and one-way circuit length. Copper and aluminum AWG/kcmil sizes. Metric and imperial, with formulas shown.

Calculator

Single-phase/DC uses a two-conductor path. Three-phase uses the balanced line-to-line shortcut.

Uses 75 C resistance constants: copper K=12.9, aluminum K=21.2 ohm-cmil/ft.

Conductor circular-mil area used for voltage drop. This is not an ampacity selection.

One-way distance from source to load, not round-trip length.

m

Load current in amperes.

A

Line-to-line voltage for three-phase, or source voltage for single-phase/DC.

V

Used for the max-length and suggested-area outputs. Common design screens use 3% for branch or feeder and 5% total.

%

Results

Default result
Edit inputs
Voltage drop(VD)
2.63%
Pass

At or below the 3% target.

Also computed

Voltage lost(V_drop)3.161V

Load-end voltage(V_load)116.84V

Max one-way length(L_max)17.36m

For the selected wire and target percent drop.

Suggested conductor area(CM_min)Pass6.53kcmil

nearest listed size: #12 AWG

Selected conductor area(CM)6.53kcmil

#12 AWG

One-way conductor resistance(R)0.09877ohm

Method notes 2 notes
  • single-phase shortcut using copper conductor constant and one-way length.
  • This screens voltage drop only. It does not check ampacity, insulation temperature, conduit fill, derating, equipment grounding conductors, termination ratings or local code requirements.

Voltage drop can be screened with the circular-mil shortcut VD = M×K×I×L/CM, where M is 2 for single-phase/DC or √3 for balanced three-phase, K is the copper or aluminum constant, I is current, L is one-way length in feet and CM is conductor circular-mil area. This calculator returns volts lost, percent drop, load-end voltage, max length and the first listed conductor area that meets your target drop.

Continue workflow

All Electrical

How to use this calculator

  1. Choose circuit type. Select single-phase, three-phase or DC/two-wire so the correct multiplier is used.
  2. Choose conductor material and size. Pick copper or aluminum and the AWG/kcmil conductor area.
  3. Enter one-way length, current and voltage. Use one-way source-to-load distance, full load current and the system voltage at the source.
  4. Check drop and target. Compare percent drop with your target and review the suggested conductor area if the selected size is too small.

How it works

Voltage drop is the voltage lost in the conductors before power reaches the load. This calculator uses the circular-mil shortcut: VD = M x K x I x L / CM where M is 2 for single-phase/DC or sqrt(3) for balanced three-phase, K is the copper or aluminum constant, I is current, L is one-way length in feet and CM is conductor circular-mil area.

The suggested conductor area is the first listed AWG/kcmil size that meets the entered voltage-drop target. It is not an ampacity result. After a voltage-drop screen, use the conduit fill calculator for raceway space and the transformer kVA calculator when the same load needs transformer capacity.

Worked example

Verified against the live calculator

A 120 V single-phase circuit carrying 16 A on #12 copper for 50 ft one-way has VD = 2 x 12.9 x 16 x 50 / 6530 = 3.16 V. The percent drop is 3.16 / 120 x 100 = 2.63%, so the load-end voltage is about 116.8 V. That passes a 3% target in this simplified screen.

Reference data

Common AWG circular-mil areas used by the voltage-drop shortcut. The calculator also includes larger kcmil sizes through 1000 kcmil.

Common AWG conductor circular-mil areas.
Wire size Area (kcmil)
#14 AWG 4.11
#12 AWG 6.53
#10 AWG 10.38
#8 AWG 16.51
#6 AWG 26.24
#4 AWG 41.74
#3 AWG 52.62
#2 AWG 66.36
#1 AWG 83.69
1/0 AWG 105.6
2/0 AWG 133.1
3/0 AWG 167.8
4/0 AWG 211.6

Source: AWG circular-mil areas following NEC Chapter 9 Table 8 style values; verify conductor construction and code tables for final design.

Frequently asked questions

How do you calculate voltage drop?

For a circular-mil screening calculation, single-phase voltage drop is VD = 2*K*I*L/CM and balanced three-phase voltage drop is VD = sqrt(3)*K*I*L/CM. K is the conductor material constant, I is load current, L is one-way length in feet and CM is circular-mil conductor area.

Should I use one-way or round-trip length?

Enter one-way distance from the source to the load. The calculator applies the two-conductor multiplier for single-phase/DC circuits and sqrt(3) for balanced three-phase circuits.

What voltage drop target should I use?

A common design screen is 3% for a feeder or branch circuit and 5% total from service to load. Sensitive equipment, motors and local requirements may need tighter limits.

Does this choose a code-compliant wire size?

No. The suggested conductor area is only the minimum listed size for the entered voltage-drop target. Ampacity, insulation temperature, conduit fill, derating, equipment grounding conductors and protection must be checked separately.

Does this include reactance or power factor?

No. It uses the common DC-resistance circular-mil shortcut. Large conductors, long feeders, low power factor and parallel/conduit arrangements may need an impedance method using resistance and reactance tables.

Method & assumptions

  • Uses one-way circuit length, not round-trip length.
  • Uses K = 12.9 for copper and K = 21.2 for aluminum in the circular-mil shortcut.
  • Does not include conductor reactance, harmonic heating, parallel conductors, temperature correction, ampacity or protection sizing.
  • Final electrical work needs the adopted code edition, local amendments, equipment instructions and qualified review.
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