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12 Aug 2025 at 06:35 AM

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Useful Formulas

Toroid Wire Length Formula

Length of wire (in feet) for N turns around a toroid:

$$ Length = (T × (OD - ID + 2×H) + (ML / 2.54)) / 12 $$
Length = (T × (OD - ID + 2×H) + (ML / 2.54)) / 12

Where:

  • T = number of turns
  • OD = outer diameter (inches)
  • ID = inner diameter (inches)
  • H = height (inches)
  • ML = mean length (centimeters)

Toroid Surface Area Formula

Surface area in square centimeters:

$$ Area = π × (OD + ID) × H + (π × (OD/2)² - π × (ID/2)²) $$
Area = π × (OD + ID) × H + (π × (OD/2)² - π × (ID/2)²)

Where all dimensions are in centimeters.


This compilation was created by the 4hv.org community to help new members with calculations and reduce repetitive questions. Contributions from users including Arcstarter, Chris Cristini, Dr. Slack, aonomus, Shaun, big5824, Mads Barnkob, 101111, Myke, and others.


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