# Encyclopedia Magnetica

### Site Tools

calculator:inductance_of_gapped_inductor

### Calculator of inductance of a gapped inductor

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)

Number of turns N = (unitless)       Cross-sectional area of core A =

gap length lgap =

Inductance L =

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