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Power & Utilities · Professional Microtool

Voltage Drop Calculator

Volt drop · Percentage · Longest run

Volt drop on a three-phase run, with the reactive term included: drop in volts and per cent, the loss it costs, and the longest run that stays inside your permitted drop.

8 inputs Screening estimate for cable runs and preliminary selection No registration Nothing you enter leaves your browser

Source Load Run length R per km X per km Volt drop over the run Of nominal

Start from an example: 200 A over 150 m of 95 mm² copper at 0.9 power factor →

Load
A

Balanced line current per phase at the design condition.

Displacement power factor of the load, assumed lagging as almost all industrial load is. A leading power factor reverses the sign of the reactive term and this tool does not model it.

Cable

One-way route length of the circuit. The return path is already in the formula.

Ω/km

AC resistance of one conductor at operating temperature. A 95 mm² copper core is about 0.24 Ω/km at 20 °C and roughly 20% higher at 90 °C.

Ω/km

Inductive reactance of one conductor, typically 0.07–0.11 Ω/km for LV cables and largely independent of size.

Cables run in parallel per phase. Doubling them halves both resistance and reactance.

System
V

Nominal line-to-line voltage, used for the percentage and the maximum length.

The limit you are designing to. Many rules use 3% for lighting and 5% overall, but check the one that applies.

Full output

  • Drop in volts
  • Voltage at the load
  • Longest run within the limit
  • Conductor loss
  • Resistive share of the drop
  • Drop per metre

Voltage drop against power factor at constant current

At a fixed current the drop is worst not at the poorest power factor but near cos φ = R/√(R²+X²), because the resistive and reactive terms trade against each other. In a real installation a poorer power factor also raises the current for the same real power, which pushes the drop up again — this curve isolates the geometry, not the whole effect.

Keep it

Both carry the figures you entered, in the part of the address that is never sent to a server. Share only where that is appropriate. To keep a copy for a project file, print the page — it lays itself out as a document.

Need the whole cable schedule, not one run?

We can build the calculation across every circuit, with real conductor data at operating temperature, and keep it in step with the design as it changes.

Discuss your use case →

Calculation basis 5 steps · view the method →
  1. Effective R and X = per-km values ÷ conductors per phase
  2. Drop = √3 × current × length × (R·cos φ + X·sin φ)
  3. Percentage drop = drop ÷ nominal line voltage
  4. Longest run = permitted drop × voltage ÷ drop per metre
  5. Conductor loss = 3 × current² × effective resistance × length
Assumptions & limitations Screening estimate for cable runs and preliminary selection · 8 assumptions →

This is a screening calculation for a balanced three-phase run at steady load. It excludes harmonics, motor starting, transient and fault conditions, conductor temperature correction, grouping and installation derating, and any local wiring rule about permitted drop. Use the applicable standard, the manufacturer's cable data at operating temperature, and a proper cable schedule before issuing a design.

  • Balanced three-phase load at steady state; the neutral carries nothing.
  • The power factor is assumed lagging; with a leading power factor the reactive term subtracts instead of adding, and the drop is smaller than shown.
  • Resistance is taken as entered — at operating temperature it is typically 15–25% above the 20 °C value.
  • Harmonic currents, motor starting and fault conditions are excluded.
  • Grouping, ambient and installation-method derating are not applied.
  • The load is treated as a single point at the end of the run, not distributed along it.
  • Skin and proximity effects are assumed to be already inside the quoted AC resistance.
  • The percentage is taken against nominal voltage rather than the actual sending-end voltage.

Worked examples

About this tool

Volt drop is usually taught as resistance times current, which works until the power factor is poor and the reactance starts to dominate. This tool keeps both terms, so it shows why a larger conductor sometimes buys much less than expected — and reports the practical answer directly: the longest run that stays inside the limit. Written for electrical designers, plant engineers and anyone checking a cable schedule.

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