Motors, Generators & Electrification Equipment calculator

Copper Fill Factor Calculator

Check how full a stator slot is from the net copper area and the total slot area, then compare the fill with a target. The page reports the gap and the copper area a target needs.

What this calculator does

  • Copper fill percent and its gap to a target, with the copper area a target requires.

Formula used

  • Copper fill factor = net copper area ÷ total slot area × 100
  • Gap to target = target fill − copper fill factor
  • Copper area at target = target fill ÷ 100 × total slot area
  • Copper area shortfall = MAX(target copper area − net copper area, 0)

Inputs explained

  • Net Copper Area per Slot: Bare copper cross-section in the slot, from the winding design.
  • Total Slot Cross-Section: Full slot cross-section before the winding is inserted.
  • Target Slot Fill: Fill percentage the design or process standard sets for this slot.

How to use the result

  • Best suited to checking a slot before winding, choosing wire gauge for a fill target, reviewing a traction motor redesign.
  • Slot liners, wedges and phase insulation take space that the bare copper figure ignores. A fill target alone does not prove the winding is producible; wire gauge and turns also decide that.

Current U.S. benchmarks

  • The producer price index for primary nonferrous metals (a broad metals benchmark, not copper alone) stands at 544.731 (BLS, Aug 2026), up 49.3% from a year earlier. Quotes priced off last quarter's material cost miss this move. Global copper trades at $13,543 per tonne (IMF via FRED, Jul 2026).
  • Steel mill PPI stands at 381.162 (BLS, Aug 2026), up 23.4% from a year earlier. New factory orders are up 8.5% year over year (Census).
  • The U.S. has 5,397 electrical equipment and appliances establishments employing about 369,437 workers (Census County Business Patterns, 2023).

Common questions

  • What does copper fill factor mean? It is the share of a slot cross-section filled by bare copper. A slot with 100 mm² of copper in 250 mm² of total area fills to 40%, and the rest carries insulation, air and clearance.
  • Why does the page block copper area above slot area? Because copper cannot occupy more cross-section than the slot holds. A fill over 100% means the two areas disagree on units or on the slot they describe, so the page stops instead of printing an impossible result.
  • What is a typical slot fill target? Targets vary by machine class and winding process, so enter the target your design or manufacturing standard sets. Hand-wound prototype slots usually run lower than machine-wound production slots.
  • How do I find net copper area per slot? Count the conductors in one slot, multiply by the bare copper area of the wire gauge, and add parallel strands. Use the copper cross-section, not the insulated outside diameter.

Last reviewed 2026-10-01.