PortDock

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.

Results
Resistance of one conductor
Voltage drop
Percent drop
Voltage at the load
Power lost in the cable
Minimum cross-section for the allowed drop
Maximum one-way length with this size

Results update as you type. Everything runs in your browser; nothing you type is sent anywhere.

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-sectionΩ/km (one conductor)Drop per 1 A per 100 m (out and back)
0.5 mm²34.486.897 V
0.75 mm²22.994.598 V
1 mm²17.243.448 V
1.5 mm²11.492.299 V
2.5 mm²6.8971.379 V
4 mm²4.3100.862 V
6 mm²2.8740.575 V
10 mm²1.7240.345 V
16 mm²1.0780.216 V
25 mm²0.6900.138 V
35 mm²0.4930.099 V
50 mm²0.3450.069 V
70 mm²0.2460.049 V
95 mm²0.1810.036 V
120 mm²0.1440.029 V
150 mm²0.1150.023 V
185 mm²0.0930.019 V
240 mm²0.0720.014 V
300 mm²0.0570.011 V

AWG ↔ mm² (ASTM B258)

AWGDiameter mmArea mm²Ω/km (copper 20 °C)
30 AWG0.2550.051338.6
28 AWG0.3210.081212.9
26 AWG0.4050.129133.9
24 AWG0.5110.20584.22
22 AWG0.6440.32652.96
20 AWG0.8120.51833.31
18 AWG1.0240.82320.95
16 AWG1.2911.30913.17
14 AWG1.6282.0818.286
12 AWG2.0533.3095.211
10 AWG2.5885.2613.277
8 AWG3.2648.3662.061
6 AWG4.11513.3021.296
4 AWG5.18921.1510.815
2 AWG6.54433.6310.513
1 AWG7.34842.4080.407
0 AWG8.25153.4750.322

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.