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Voltage Drop Calculator

Estimate voltage drop along a cable run from wire size, length, current and material.

About the Voltage Drop Calculator

Current flowing through a cable's resistance loses voltage. For single-phase and DC circuits the current flows out and back (2 × length); three-phase uses √3. US wire resistances are the NEC Chapter 9 Table 8 values at 75 °C; metric sizes use IEC copper and aluminium resistivity at 70 °C. Guidance commonly limits drop to 3% on a branch circuit and 5% overall (BS 7671 allows 3% lighting, 5% other).

The formula

Vd = 2 × I × R × L (single-phase); √3 × I × R × L (three-phase)

Worked example

Example: Voltage drop = 1.76 V (0.7%)

  1. Inputs: Wire sizes: AWG (US); Conductor: Copper; Circuit: Single-phase / DC; Supply voltage: 250 V; Load current: 22 A; One-way cable length: 33 m; Wire size: 10 AWG.
  2. Formula: Vd = 2 × I × R × L (single-phase); √3 × I × R × L (three-phase)
  3. Result: Voltage drop = 1.76 V (0.7%)

Things to keep in mind

  • Ignores reactance, which matters for large conductors and long AC runs; always follow local wiring codes.

Questions people ask

Why does drop matter?

Motors run hot and lights dim; electronics may misbehave.

Does it waste energy?

Yes: loss = I² R, turned into heat in the cable.