What voltage drop is and when it matters
Every cable has some resistance, so when current flows through it a portion of the source voltage is lost along the way. That loss is the voltage drop. The load receives less voltage than the supply provides, which can make motors run hot, lights dim and electronics reset. Long runs, thin conductors and high currents all make it worse.
Use this calculator when sizing a feeder, extension cord, garden lighting circuit, workshop sub-panel or solar run, and you want to know whether the conductor is thick enough. Enter the supply voltage, load current, one-way length, conductor area and material, and choose DC or single-phase versus three-phase. The tool returns the drop in volts, the percentage of supply, the voltage left at the load and the power wasted as heat in the cable.
Formula and variables
Vdrop = k × ρ × L × I / A
- k is 2 for DC or single-phase (current goes out and returns) and √3 ≈ 1.732 for balanced three-phase line-to-line.
- ρ is resistivity at about 20 °C: 0.0172 Ω·mm²/m for copper and 0.0282 Ω·mm²/m for aluminum.
- L is the one-way cable length in metres.
- I is the load current in amperes.
- A is the conductor cross-section in mm².
The percentage is Vdrop / Vsupply × 100, and the cable loss is Vdrop × I for single-phase, or √3 × Vdrop × I for three-phase. The model uses resistance only, so it ignores reactance and temperature above 20 °C.
Worked example
A 120 V single-phase circuit feeds a 20 A load 30 m away through 4 mm² copper.
- Loop resistance = 2 × 0.0172 × 30 / 4 = 0.258 Ω.
- Vdrop = 0.258 × 20 = 5.16 V.
- Percentage = 5.16 / 120 = 4.30%.
- Voltage at load = 120 − 5.16 = 114.84 V.
- Cable loss = 5.16 × 20 = 103.2 W.
These are the figures the calculator displays. Doubling the conductor to 8 mm² halves the drop to 2.58 V (2.15%), which shows why upsizing is the standard cure.
Common mistakes and how to interpret the result
- Entering the round-trip length. The factor of 2 is already included for single-phase, so use the one-way distance.
- Confusing AWG with mm². Convert first: 14 AWG is about 2.08 mm², 12 AWG about 3.31 mm² and 10 AWG about 5.26 mm².
- Treating one number as a code limit. A common design guideline is about 3% for a branch circuit and 5% overall; this is guidance, and your local code and equipment ratings govern.
- Ignoring temperature. Copper resistance rises roughly 0.4% per degree Celsius, so a hot conduit run drops more than the 20 °C figure.