What is the relation between inductance and reluctance?

[Bavuka]

Hi,

say for example we have a magnetic core with a coil wound around, and if we introduce an airgap (i.e. increasing the reluctance), how is inductance reduced? I read on some forum (see source below) that inductance scale inversely with reluctance.

So I do not have the mental picture of why inductance scale inversely with reluctance, and I hope some may help me establish that picture.

Thanks

Source:
https://www.quora.com/What-is-the-relation-between-inductance-and-reluctance

 

[cnh1995]

So I do not have the mental picture of why inductance scale inversely with reluctance, and I hope some may help me establish that picture.

Magnetic flux (Φ) through a coil is proportional to the current (I) flowing through the coil.
So, Φ∝I or Φ=LI, where L is the inductance of the coil.

If you increased the reluctance and kept the coil current same, magnetic flux will decrease i.e. for the same coil current I, Φ decreases, which means the inductance also decreases.

 

[scottdave]

Reluctance is inversely proportional to permeability and area. See this:
http://www.codecogs.com/library/physics/magnetism/magnetic-reluctance.php