as Capacitance(C) of a material is given by AKE/d ,
how can the formula be given for Inductance (L) of a material ?

 

as Capacitance(C) of a material is given by AKE/d ,
how can the formula be given for Inductance (L) of a material ?

Neither capacitance nor inductance are properties of a material alone. The geometry is also a critical factor. In capacitence the geometry is parallel, conducting (usually metal) plates separated by a material with a dielectric constant. The dielectric constant affects the Electric Field between the two parallel plates.

In inductance the geometry is a conducting coil and the geometry of the coil includes the diameter of the coil, the number of turns, the spacing between the turns, and the presence of a permeable material inside the coil. The permeable core material of iron or ferite affects the Magnetic Field produced by a current in the coil. To compute the inductance of an inductor check the manufacturerrs datasheets for various core materials.