A parallel plate capacitor, with plate area ′A′ and distance of separation ′d′, is filled with a dielectric. What is the capacity of the capacitor when permittivity of the dielectric varies as follows:
ϵ(x)=ϵ0+kx, for (0<x≤d2)
ϵ(x)=ϵ0+k(d−x), for (d2≤x≤d)