A parallel plate capacitor of capacitance C has spacing d between two plates having area A. The region between the plates is filled with N dielectric layers, parallel to its plates, each with thickness
` delta =(d)/(N) ` .The dielectric constant of the ` m^(th) ` layer is ` K_m =K(1+(m)/(N)) `. For a very large ` N(lt 10 ^(3)) ,` the capacitance C is ` alpha ((kin_0A)/( d1n 2)) ` .The value of ` alpha will be .
` [in _0 ` is the permittivity of free space ]