Technical utilities

Conduit Fill Geometry Calculator

Geometric fill equals total conductor circle area divided by raceway circle area. Both areas come directly from the entered outside and inside diameters.

Calculate geometric occupied area and fill percentage from user-entered raceway and conductor diameters.

Enter values

Calculated result

Geometric fill result

Calculating…

Calculated locally in your browser

Planning math only. Verify equipment specifications and installation requirements separately.

Conduit geometry relationship diagramAn original simplified conduit diagram paired with the current calculator result.CIRCLE-AREA GEOMETRYRESULTCalculated locallyFORMULA VISIBLEINPUTS EDITABLE
Conduit Fill Geometry Calculator relationship diagram. The illustration supports the text result; it is not a wiring or installation drawing.

What this calculator returns

The target is yours. Power Totals does not prefill or label a code-permitted percentage.

Formula and variables

The calculation runs entirely in your browser. Static formulas, definitions, examples, and tables remain readable without JavaScript.

Formula

Fill% = 100 × quantity × π(OD/2)² / [π(ID/2)²].

Vdrop
Voltage lost across the conductor path, in volts.
I
Current through the conductor, in amperes.
R
Electrical resistance of the modeled conductor path, in ohms.
ρ
Material resistivity at the modeled temperature, in ohm-metres.
L
Conductor length used by the selected path model.
A
Metal cross-sectional area of the conductor.

OD is user-entered conductor outside diameter and ID is user-entered raceway inside diameter.

Worked example

Worked example inputs
InputValue
Raceway inner diameter25 mm
Conductor outer diameter6 mm
Conductor quantity3
Your target fill40 %

Three 6 mm OD conductors in a 25 mm ID raceway occupy about 17.28% of the geometric cross-sectional area.

Reference table

Illustrative circle areas calculated from A = πd²/4. Diameters are examples, not trade sizes, product specifications, or permitted fill values.
Example itemDiameterCircle area
Conductor A4 mm12.57 mm²
Conductor B6 mm28.27 mm²
Raceway A20 mm314.16 mm²
Raceway B25 mm490.87 mm²
Raceway C32 mm804.25 mm²

Frequently asked questions

What does the conduit fill percentage represent?

It is the sum of entered cable-circle areas divided by the entered conduit internal-circle area.

Does circle area prove an installation is permitted?

No. The result is geometry only and does not reproduce code tables, cable definitions, or installation requirements.

Assumptions and limitations

  • Pure cross-sectional geometry only.
  • No NEC/CEC fill table, cable jamming, bending, installation, or compliance analysis.

Method and sources

Review the electrical formulas, calculation methodology, and reference tables for the references most relevant to this calculation. The broader technical sources index records source scope and verification. Last reviewed .

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