Voltage Drop & Wire Size Calculator
Voltage drop and % for DC (24 V supplies), single- and three-phase from current, distance and wire size (mm² or AWG), plus minimum size and maximum length.
Formulas
- Conductor resistance R = ρ × L ÷ A (ρ: resistivity Ω·mm²/m, L: one-way m, A: mm²)
- DC and single-phase 2-wire: ΔV = 2 × I × R (out and back)
- Three-phase 3-wire (balanced, line-to-line): ΔV = √3 × I × R
- Temperature: ρ(T) = ρ20 × (1 + α × (T − 20))
- Percent drop = ΔV ÷ supply voltage × 100
Copper ρ20 = 1/58 ≈ 0.01724 Ω·mm²/m, α = 0.00393 /°C (IEC 60028). Aluminium ρ20 = 0.028264, α = 0.00403 (IEC 60889). Resistance per length scales with ρ, so the same formulas work in feet once you convert lengths to metres.
What this does not cover
- Reactance and power factor: only conductor resistance is counted. For large AC cables the reactive part grows and the real drop can be higher.
- Ampacity: a wire must also carry the current safely, which depends on installation method, ambient temperature and grouping. Use your local code's tables (NEC, IEC 60364-5-52, …).
- Real cable resistance: IEC 60228 sets maximum resistance per conductor class (solid, stranded, flexible); stranded and tinned conductors are slightly higher for the same mm². Check the cable maker's data for exact values.
- How much drop is acceptable: that depends on the load's input voltage range and local rules. For 24 V devices, comparing «Voltage at the load» with the device's minimum input voltage is the surest check.
Resistance by mm² (copper, 20 °C, calculated)
| Cross-section | Ω/km (one conductor) | Drop per 1 A per 100 m (out and back) |
|---|---|---|
| 0.5 mm² | 34.48 | 6.897 V |
| 0.75 mm² | 22.99 | 4.598 V |
| 1 mm² | 17.24 | 3.448 V |
| 1.5 mm² | 11.49 | 2.299 V |
| 2.5 mm² | 6.897 | 1.379 V |
| 4 mm² | 4.310 | 0.862 V |
| 6 mm² | 2.874 | 0.575 V |
| 10 mm² | 1.724 | 0.345 V |
| 16 mm² | 1.078 | 0.216 V |
| 25 mm² | 0.690 | 0.138 V |
| 35 mm² | 0.493 | 0.099 V |
| 50 mm² | 0.345 | 0.069 V |
| 70 mm² | 0.246 | 0.049 V |
| 95 mm² | 0.181 | 0.036 V |
| 120 mm² | 0.144 | 0.029 V |
| 150 mm² | 0.115 | 0.023 V |
| 185 mm² | 0.093 | 0.019 V |
| 240 mm² | 0.072 | 0.014 V |
| 300 mm² | 0.057 | 0.011 V |
AWG ↔ mm² (ASTM B258)
| AWG | Diameter mm | Area mm² | Ω/km (copper 20 °C) |
|---|---|---|---|
| 30 AWG | 0.255 | 0.051 | 338.6 |
| 28 AWG | 0.321 | 0.081 | 212.9 |
| 26 AWG | 0.405 | 0.129 | 133.9 |
| 24 AWG | 0.511 | 0.205 | 84.22 |
| 22 AWG | 0.644 | 0.326 | 52.96 |
| 20 AWG | 0.812 | 0.518 | 33.31 |
| 18 AWG | 1.024 | 0.823 | 20.95 |
| 16 AWG | 1.291 | 1.309 | 13.17 |
| 14 AWG | 1.628 | 2.081 | 8.286 |
| 12 AWG | 2.053 | 3.309 | 5.211 |
| 10 AWG | 2.588 | 5.261 | 3.277 |
| 8 AWG | 3.264 | 8.366 | 2.061 |
| 6 AWG | 4.115 | 13.302 | 1.296 |
| 4 AWG | 5.189 | 21.151 | 0.815 |
| 2 AWG | 6.544 | 33.631 | 0.513 |
| 1 AWG | 7.348 | 42.408 | 0.407 |
| 0 AWG | 8.251 | 53.475 | 0.322 |
FAQ
How much does 24 V DC drop over 50 m?
2 A over 1.5 mm² copper, 50 m one way: the 100 m loop is about 1.15 Ω, so about 2.3 V (9.6 %) is lost and the load sees about 21.7 V. With 2.5 mm² it is about 1.38 V (5.7 %).
Do I enter the round-trip or one-way length?
One way — the cable length from supply to load. For DC and single-phase the calculation counts both conductors itself.
How do AWG and mm² convert?
ASTM B258: d = 0.127 × 92^((36 − AWG) ÷ 39) mm and area = π ÷ 4 × d². 18 AWG ≈ 0.82 mm², 16 AWG ≈ 1.31 mm², 14 AWG ≈ 2.08 mm².
For signal wiring with a tight supply budget, such as 4–20 mA loops, use the 4–20 mA Loop Load Calculator to check the voltage left at the transmitter.