Voltage Drop Calculator

Voltage drop, percentage drop, and power loss in copper or aluminium wire — single-phase, DC, or three-phase.
Single-Phase / DC
Three-Phase

Single-Phase / DC Voltage Drop

Vdrop = 2 × I × ρ × L / A  •  %drop = Vdrop/Vsource × 100  •  Ploss = I² × Rwire
20A, 30m, 2.5mm² Cu
10A, 15m, 1.5mm²
12V, 16A, 25m, 4mm²
A
m
mm²
V
Enter values and press Calculate.

Three-Phase Voltage Drop

Vdrop = √3 × I × ρ × L / A  •  Ploss = 3 × I² × (ρL/A)
40A, 50m, 10mm² Cu
100A, 80m, 35mm² Al
A
m
mm²
V
Enter values and press Calculate.

Understanding Voltage Drop

Every wire has resistance, so some voltage is lost as current flows along it — the voltage drop. Too much drop makes lights dim, motors run hot, and electronics misbehave. Most standards recommend keeping the total drop below 3–5% of the supply voltage.

QuantityFormula
Single-phase / DC dropVdrop = 2 × I × ρ × L / A
Three-phase dropVdrop = √3 × I × ρ × L / A
Percentage drop%drop = Vdrop / Vsource × 100
Resistivity ρ (Ω·mm²/m)Copper ≈ 0.0175, Aluminium ≈ 0.0282

The single-phase formula uses a factor of 2 because current flows down and back through two conductors; three-phase uses √3. To reduce drop: use a thicker conductor (larger A), a shorter run, or copper instead of aluminium.

Real-World Applications & Examples

Worked examples

1. 230 V socket run. 20 A, 30 m, 2.5 mm² copper: Vdrop=2×20×0.0175×30/2.5=8.4 V (3.65%). Just over the 3% guideline — use 4 mm².
2. 12 V DC accessory. 16 A, 25 m, 4 mm² copper: Vdrop=2×16×0.0175×25/4=3.5 V — a huge 29% on 12 V! Low-voltage runs need much thicker wire.
3. Fixing example 1. Upsize to 4 mm²: drop falls to 5.25 V (2.3%) — comfortably within limits.
4. Copper vs aluminium. Swapping the 2.5 mm² copper for aluminium raises the drop to ~13.5 V because aluminium\'s resistivity is ~60% higher.
5. Three-phase feeder. 40 A, 50 m, 10 mm² copper: Vdrop=√3×40×0.0175×50/10=6.06 V (1.5% of 400 V) — fine.
6. Power lost as heat. In example 1 the wire resistance is 2×0.0175×30/2.5=0.42Ω, so Ploss=20²×0.42=168 W wasted in the cable.

Frequently Asked Questions

What is voltage drop?

The voltage lost in a conductor because of its resistance as current flows through it. It equals the current times the wire resistance, and it reduces the voltage available at the load.

How much voltage drop is acceptable?

Most standards recommend keeping the total drop under 3% for lighting and 5% for general circuits. Exceeding this causes dim lights, weak motors, and wasted energy.

Why is there a factor of 2 for single-phase?

Because the current travels out along one conductor and back along another, so it passes through twice the one-way cable length. DC circuits use the same factor of 2.

Why does three-phase use √3 instead of 2?

In a balanced three-phase system the line-to-line voltage drop works out to √3 times the current, resistivity, length and inverse area — a standard result of three-phase analysis.

What resistivity should I use for copper and aluminium?

About 0.0175 Ω·mm²/m for copper and 0.0282 Ω·mm²/m for aluminium at normal temperatures. Resistivity rises with temperature, so hot cables drop a little more.

How do I reduce voltage drop?

Use a larger cross-section (thicker wire), shorten the run, use copper instead of aluminium, or raise the system voltage so the same power needs less current.

Why is voltage drop worse on low-voltage systems?

The absolute drop depends on current, not voltage, but the same drop is a much bigger percentage of a 12 V supply than a 230 V supply — so 12 V and 24 V systems need thick cables.

Does voltage drop waste energy?

Yes — the dropped voltage times the current is power dissipated as heat in the cable (I²R loss). Lower drop means lower losses and cooler wiring.

Is this the same as cable ampacity?

No. Ampacity is the maximum current a cable can carry without overheating; voltage drop is a separate limit about performance. A cable can pass the ampacity check but still drop too much on a long run.

Should I use one-way or round-trip length?

Enter the one-way length — the formula's factor of 2 (single-phase) already accounts for the return conductor.

Does this include reactance?

This calculator uses conductor resistance only, which dominates for small and medium cables. For large cables or long AC runs, cable reactance and power factor also matter.

How does temperature affect the result?

Copper resistance rises about 0.4% per °C. For a hot conductor (say 70 °C), the drop is roughly 20% higher than the 20 °C value — use a higher resistivity for worst-case design.

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