Elecmetric

Maximum Cable Length Calculator

Longest run that keeps voltage drop within a limit. With the formula, a worked example and typical values.

Load current 100 A, system voltage (L-L) 400 V, allowed drop (%) 3, cable resistance 0.1 Ω/km gives
555 m

Estimate only. Not engineering or safety advice. Check the result against the applicable standard and the equipment data, and have a competent engineer review it before it is relied on. Terms of use.

Open in the calculator with these values

About this calculator

This page calculates maximum length from load current, system voltage, allowed drop, cable resistance and 1 more input. Change any value or its unit and the result updates. The steps below show the working for the default values, so you can check each line against your own method.

Limits of this calculator

Check cable ampacity and fault withstand separately.

Cross-check: 14 reference cases, calculated from textbook formulas coded separately from the engine by the same author, agree with this calculator. This is not an independent review.

Verification status: Engineering reference

Engineering reference. Formula and method documented and tested against separately coded reference calculations. Not yet Verified: the evidence listed on this page is still needed.

What this calculator checks

What remains unverified

Verification register entry

Calculation authorRahul Sharma (author)
Technical reviewNo independent technical review has been carried out
Individual professional approvalNot recorded
Formula referencenot recorded
Standard and editionIEC 60364-5-52, 2009 + A1:2024, consolidated Ed 3.1
Standard review statePublic-scope screened; licensed clause review still pending
Scope-screening noteWiring-system selection and voltage-drop context. The calculator solves a simplified voltage-drop equation; it does not verify ampacity, fault protection or installation method.
Cross-check test cases14 reference vectors (tests/reference_vectors.json)
Review datenot recorded
Next review datenot recorded
StatusEngineering reference

Needed before this calculator can be marked Verified: reviewer name, qualification and review date; licensed clause-by-clause standard review; exact formula reference; formula source (textbook or standard); next review date.

Formula

L = n × (limit% × V) / (√3 × I × (R cos φ + X sin φ)) (n = conductors per phase in parallel)

Worked example

InputValue
Load current100 A
System voltage (L-L)400 V
Allowed drop (%)3
Cable resistance0.1 Ω/km
Cable reactance0.08 Ω/km
Power factor0.9
PhaseThree-phase
Conductors per phase in parallelOne (single set)
  1. Z = R cos φ + X sin φ = 0.1249 Ω/km
  2. L = 3% × 400 / (√3 × 100 × Z) = 554.8 m

Assumptions

Check cable ampacity and fault withstand separately.

Inputs and results

InputUnitAllowed or shownNote
Load currentAgreater than 0 A
System voltage (L-L)Vgreater than 0 V
Allowed drop (%)(number)greater than 0, up to 20
Cable resistanceΩ/kmgreater than 0 Ω/km
Cable reactanceΩ/km0 Ω/km or more
Power factor(number)greater than 0, up to 1Rough starting point only. Resistive heating and incandescent loads are 1.0; a fully loaded induction motor is typically 0.8 to 0.88 and falls sharply when lightly loaded; discharge lighting depends on its ballast or driver. For real work use the nameplate or a measured value.
Phase(choice)Three-phase; Single-phase
Conductors per phase in parallel(choice)One (single set); 2 in parallel; 3 in parallel; 4 in parallel; 5 in parallel; 6 in parallel; 7 in parallel; 8 in parallel; 9 in parallel
ResultUnitAllowed or shownNote
Maximum lengthmShown to 0 decimal places

How it is calculated

Each input is converted to the base unit of its quantity, the formula above is applied in the order shown in the worked example, and each result is shown in the unit you choose. Results are held at full precision and rounded only for display, except where a step selects a standard size, as the worked example shows. A value outside its allowed range is refused with a message instead of giving a result.

How the result changes with load current

Load current (A)Maximum length (m)
105,548
252,219
501,110
100555
200277
400139
1,00055

Other inputs are the same as in the worked example above.

Standards and further reading

Ampacity and grouping factors come from your cable data sheet or your licensed copy of the standard; see STANDARDS.md for the method constants Elecmetric does use. These are named as background reading. Elecmetric does not embed clause text or rating tables, and the reviewer record for this calculator is separate from this list.

Frequently asked questions

What do I need to enter?

Enter load current, system voltage (L-L), allowed drop (%), cable resistance and power factor. Change the unit of a value with its selector and the result stays the same.

What does this calculator assume?

Balanced load. R and X are per-km values for one conductor, supplied by the user. Parallel conductors are identical, the same length and share the current equally. Single-phase uses out-and-return path.

Which calculators should I use next?

Common next steps are Voltage Drop and Cable Resistance. The related links at the bottom of this page open them.

How accurate are the results?

Every figure comes from the same tested engine as the Elecmetric calculators and is meant for estimating. 14 reference cases, calculated from textbook formulas coded separately from the engine by the same author, agree with this calculator. This is not an independent review. Check design values against the standard and the equipment data you work to.

Formula guides and reference

Longer explanations with worked examples and tables, written for the same topic.

More Cable Engineering calculatorsAll engineering calculatorsMaximum Cable Length in Elecmetric

Tell us how to improve this page

This opens your email app. Nothing is sent until you press send.