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Voltage Drop Calculator

Calculate the voltage drop along a wire from the current, run length, conductor cross-section and material. Supports single- and three-phase circuits and shows the percentage drop against your supply voltage.

 

Formula

$$ V_{drop} = k \cdot \dfrac{\rho \, L \, I}{A} \qquad \%\,drop = \dfrac{V_{drop}}{V_{supply}}\times100 $$
k = 2 (single-phase) or √3 (three-phase); ρ = resistivity (Ω·m); A in m²

Worked example

A 20 A single-phase load on a 30 m run of 4 mm² copper drops \( 2 \times (1.724\times10^{-8})(30)(20)/(4\times10^{-6}) \approx 5.2\ \text{V} \) — about 2.2% on a 230 V supply, within the usual 3% guideline.

How it works

Current flowing through a conductor loses voltage to the wire's resistance. The drop is V = k·ρ·L·I / A, where ρ is the material resistivity, L the one-way length, I the current and A the cross-sectional area. The factor k accounts for the return path: 2 for single-phase, √3 for three-phase.

Copper (ρ ≈ 1.724×10⁻⁸ Ω·m) has lower resistance than aluminium (2.65×10⁻⁸), so it drops less voltage for the same size. Electrical codes typically recommend keeping the drop under about 3% of the supply voltage; if yours is higher, use a larger conductor or shorter run.

Frequently asked questions

How do you calculate voltage drop?

Voltage drop = k·ρ·L·I/A — the factor (2 for single-phase, √3 for three-phase) times resistivity times one-way length times current, divided by the conductor's cross-sectional area.

What is an acceptable voltage drop percentage?

A common guideline is to keep the drop under 3% for branch circuits (and under 5% total including feeders). Enter your supply voltage above to see the percentage.

Does copper or aluminium have less voltage drop?

Copper. Its resistivity (1.724×10⁻⁸ Ω·m) is lower than aluminium's (2.65×10⁻⁸), so a copper conductor of the same size drops roughly 35% less voltage.

How do I reduce voltage drop?

Use a larger conductor (bigger cross-section), shorten the run length, reduce the current, or switch aluminium to copper. Voltage drop is inversely proportional to conductor area.

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