Voltage drop calculation: the formula, the 3% guideline and worked examples
Voltage drop = 2 × K × I × L ÷ circular mils on single phase (swap in 1.732 for three-phase), with K = 12.9 for copper and 21.2 for aluminum. A 20 A load on 100 ft of 12 AWG copper at 120 V drops 7.90 V — 6.58% of the circuit, which counts as undersized by most standards even though code doesn't force the issue. PipeMaster's Voltage Drop calculator (Pro) runs the formula from 14 AWG to 4/0 and flags anything over 3%.
Why voltage drop matters
Every foot of wire has resistance, so a long run always delivers a little less than the panel puts out. Too much of it and motors run hot, lights dim, electronics misbehave — and the voltage you lost didn't vanish, it turned into heat sitting in the wire.
The voltage drop formula
- VD = factor × K × I × L ÷ CM
- factor = 2 for single-phase, 1.732 (√3) for three-phase
- K = 12.9 for copper, 21.2 for aluminum (ohm-circular mils per foot)
- I = load current in amps; L = one-way length in feet
- CM = conductor area in circular mils from NEC Chapter 9 Table 8, for example 6,530 for 12 AWG and 10,380 for 10 AWG
- Percent drop = VD ÷ system voltage × 100
How to calculate voltage drop in PipeMaster
- Open Voltage Drop under Electrical (Pro).
- Under Circuit, tap Copper or Aluminum, then 1-Phase or 3-Phase, and pick the Wire Size (AWG).
- Under Load, set Current, One-Way Length and System Voltage with the steppers.
- Read Voltage Drop, Percent Drop and Voltage at Load under Result.
- If the drop is above 3%, an orange line reads Exceeds the 3% branch-circuit guideline (NEC 210.19 informational note).
Worked examples: single phase and 3 phase
| Circuit | Wire | Load and run | Voltage Drop | Percent Drop | Voltage at Load |
|---|---|---|---|---|---|
| 1-phase, 120 V | 12 AWG Cu | 20 A, 100 ft | 7.90 V | 6.58 % | 112.1 V |
| 1-phase, 120 V | 10 AWG Cu | 20 A, 100 ft | 4.97 V | 4.14 % | 115.0 V |
| 1-phase, 120 V | 8 AWG Cu | 20 A, 100 ft | 3.13 V | 2.60 % | 116.9 V |
| 1-phase, 240 V | 10 AWG Cu | 30 A, 150 ft | 11.18 V | 4.66 % | 228.8 V |
| 1-phase, 240 V | 8 AWG Cu | 30 A, 150 ft | 7.03 V | 2.93 % | 233.0 V |
| 3-phase, 480 V | 2 AWG Cu | 100 A, 200 ft | 6.73 V | 1.40 % | 473.3 V |
| 3-phase, 480 V | 2 AWG Al | 100 A, 200 ft | 11.07 V | 2.31 % | 468.9 V |
Check the first row by hand: 2 × 12.9 × 20 × 100 ÷ 6,530 = 7.90 V, and 7.90 ÷ 120 = 6.58%.
Choosing a wire size for voltage drop
Start with the size the ampacity requires, run the drop, then step up one size at a time until Percent Drop sits under your target. In the table, both the 20 A run at 120 V and the 30 A run at 240 V only clear 3% at 8 AWG — on a long 120 V branch it is worth starting there rather than checking three sizes first. Never go below the size ampacity requires, and remember a bigger wire also changes conduit fill and box fill down the line.
Is voltage drop a code requirement?
In the NEC, the familiar 3% for a branch circuit and 5% for feeder plus branch appear as informational notes, which are recommendations rather than enforceable rules in general. Energy codes, job specifications, equipment instructions and a few specific NEC articles can make a limit mandatory, so check with your inspector.
Limits of this calculator
- System Voltage moves in 12 V steps from 12 to 600 V: 120, 240 and 480 V are exact, 208, 230, 277 and 400 V cannot be entered.
- Length is in feet only, in 5 ft steps; wire sizes run from 14 AWG to 4/0.
- It uses the DC K constants with no power factor or reactance, so for large conductors or motor loads treat it as an estimate.
- It is a US NEC and AWG tool, not an IEC or metric-cable calculator.
Questions and answers
How much voltage drop in 100 feet?
Does the calculator handle 3 phase?
Why can't I enter 208 volts?
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