A parallel plate capacitor has capacitance C. When its area filled with a dielectric of dielectric constant k = 2, as shown in figure
7C4
3C2
7C5
9C4
Ceq=C4+3C4×2Ceq=7C4
A parallel plate capacitor of area A, plate separation d and capacitance C is filled with three different dielectric materials having dielectric constants K1,K2 and K3 as shown in Fig. If a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constant K is given by