You are given an air filled parallel plate capacitor `c_(1)`. The space between its plates is now filled with slabs of dielectric constant `k_(1) and k_(2)` as shown in `c_(2)`. Find the capacitances of the capacitor `c_(2)` if area of the plates is A distance between the plates is d.

Explanation

`C_(1)=(epsi_(0)A)/(d),C_(2)=(K_(1)epsi_(0)(A//2))/(d)+(K_(2)epsi_(0)(A//2))/(d)=(epsi_(0)A)/(2d)[K_(1)+K_(2)],C_(2)=C_(1)([K_(1)+K_(2)])/(2)`