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Toroidal Coil Inductance Calculator

Toroidal Coil Inductance Calculator

Toroidal Coil Inductance Calculator computes the inductance of a toroidal coil. Input the number of turns, cross-sectional area, and mean radius, select their units, and calculate the inductance.

Enter Parameters

How to Use Toroidal Coil Inductance Calculator:

  1. Enter the number of turns, cross-sectional area, and mean radius using the keypad or direct input; use “Next” to switch fields.
  2. Select appropriate units for area and radius (e.g., m², cm², mm² for area; m, cm, mm for radius).
  3. Click “Calculate” to see step-by-step results.
  4. Use “Share Result” to get shareable text or “Copy Result” to copy to clipboard.

Formula:

Inductance (L):

L = (μ₀ N² A) / (2 π r)

Where: μ₀ = permeability of free space (4π × 10⁻⁷ H/m), N = number of turns, A = cross-sectional area (m²), r = mean radius (m)

Important Notes:

  • Inputs for number of turns, cross-sectional area, and mean radius must be positive numbers. Number of turns must be an integer. Invalid inputs will trigger an error.
  • The calculator assumes a uniformly wound toroidal coil with a circular cross-section and negligible core losses.
  • Clipboard access requires a secure context (HTTPS). If copying fails, try accessing over HTTPS or copy manually.

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