Encyclopedia Magnetica™

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Calculator of inductance of a gapped inductor

Stan Zurek, Calculator of inductance of a gapped inductor, Encyclopedia Magnetica,
http://e-magnetica.pl/doku.php/calculator/inductance_of_gapped_inductor, {accessed: 2025-03-14}

This section is an interactive calculator.

Idealised gapped magnetic core

^{S. Zurek, E-Magnetica.pl, CC-BY-4.0}

For a simple gapped inductor, with a magnetic circuit with a uniform cross-sectional area throughout the whole magnetic path, the value of inductance L can be calculated from the following equation:

$$ L = \frac{μ_0 ⋅ N^2 ⋅ A}{ l_{gap} } $$

(H)

Note: The equation is valid only for a simple magnetic circuit, with cross-sectional area of the core and gap being equal, and if l_core » l_gap, and µ_core » 1.

Calculators, Permeability, Gapped magnetic core, Inductance