What is the relationship between the inductance value and the air gap of the ferrite core?

Under the condition of the same wire diameter of the same winding, the larger the air gap, the smaller  the inductance of the ferrite core.

Inductance: Inductance, also known as self-inductance coefficient, is a physical quantity that represents        

he self-induction capability of the original inductance. When the magnetic flux passing through a coil changes, an electric potential is created in the coil, which is the phenomenon of electromagnetic induction. The resulting potential is called the induced electromotive force, and the magnitude of the electromotive force is proportional to the speed of the flux change and the number of turns of the coil. The basic unit of inductance is H (Henry), as well as millihenry (mH) and microhenry (uh). 1H=10^3mH=10^6uH

The air gap is the space between the stator and rotor of the motor. The stator does not rotate, the rotor needs to rotate, so the air gap is necessary, and the size of the air gap varies according to the motor. Generally speaking, the air gap of the asynchronous motor is small, and the air gap of the synchronous motor is large.

Energy storage mainly refers to the storage of electrical energy. Energy storage is another term in oil reservoirs, which represents the ability of the reservoir to store oil and gas.

So the  larger the air gap of the ferrite core, the lower the permeability and the smaller the inductance.