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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.

If you already know the wire resistance, use the Ohm's law calculator to calculate the voltage drop from current and resistance.

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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