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Conduit Fill Formula

NEC conduit fill calculation — maximum conductor area as percentage of conduit area for 1, 2, or 3+ conductors.

Formulas

Fill% = (Σ A_conductor / A_conduit) × 100

Conduit fill percentage

1 conductor = 53% max fill

Single conductor fill limit

2 conductors = 31% max fill

Two conductor fill limit

3+ conductors = 40% max fill

Three or more conductor fill limit

Variable Definitions

A_conductor=Cross-sectional area of each conductor (with insulation)(square inches (in²))
A_conduit=Internal area of conduit(square inches (in²))
Fill%=Percentage of conduit area used(%)

Worked Example

Can you fit 4 × 10 AWG THHN (area = 0.0211 in² each) in ½" EMT (area = 0.304 in²)?

  1. Total conductor area = 4 × 0.0211 = 0.0844 in²
  2. Fill = 0.0844 / 0.304 × 100 = 27.8%
  3. Limit for 3+ conductors = 40%
  4. 27.8% < 40% — fits ✓

Answer: Yes, 27.8% fill (limit 40%)

When to Use

  • Selecting conduit size for a given number of conductors
  • Verifying existing conduit has room for additional wires
  • Designing conduit runs for new installations
  • Calculating nipple fills (≤24" conduits get 60% fill)

Standards & References

  • NEC Chapter 9, Table 1 — Percent Fill
  • NEC Chapter 9, Table 4 — Conduit Dimensions
  • NEC Chapter 9, Table 5 — Conductor Areas
  • NEC 344/348/350/352/358 — Various conduit types

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