Toroid Inductance Calculator


Calculating the inductance of a toroid coil is essential in various electrical and electronic applications. Understanding the principles and formulas involved can help engineers and hobbyists design efficient circuits. In this article, we’ll explore how to use a toroid inductance calculator, provide the necessary formulas, an example solve, and address common questions.

How to Use

To use the toroid inductance calculator, simply input the required parameters into the designated fields. These parameters typically include the number of turns N, the permeability of the core material μ, the average radius r, and the cross-sectional area A of the toroid.


The formula for calculating the inductance (L) of a toroidal coil is given by:


  • L = Inductance (Henries)
  • μ = Permeability of the core material (Henries per meter)
  • N = Number of turns
  • A = Cross-sectional area of the toroid (square meters)
  • r = Average radius of the toroid (meters)
  • π = Pi (approximately 3.14159)

Example Solve

Let’s say we have a toroidal coil with the following parameters:

  • Number of turns (N): 200
  • Permeability of the core material (μ): 4π × 10^-7
  • Average radius (r): 0.05 meters
  • Cross-sectional area (A): 0.001 square meters

Using the formula, we can calculate the inductance as follows:

After calculation, we find:


Q: What is the typical unit for inductance?
A: The unit for inductance is the Henry (H).

Q: How does the number of turns affect inductance?
A: Increasing the number of turns increases the inductance proportionally.

Q: Can I use this calculator for non-toroidal coils?
A: No, this calculator specifically calculates inductance for toroidal coils.


Calculating the inductance of a toroid coil is crucial for designing circuits in various applications. By utilizing the provided formula and a toroid inductance calculator, engineers and enthusiasts can accurately determine the inductance of their coils, facilitating the development of efficient electronic systems.

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