The magnetic core material of the inductor dislpays high permeability and saturation of the flux density. In order to avoid saturation of the iron core at high currents and/or high flux density an air gap must be provided. The air gap length, in conjunction with the length of the magnetic circuit, defines the effective permeability of the inductor. This is evident in the B(H) characteristic shown in the animation where a larger air gap results in the reduction of the effective permeability.
Adding an air gap to an inductor reduces the value of its inductance for the same number of turns, but allows a higher maximum current before saturation of the magnetic core is reached.
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