In a certain medium, the electric potential is given bywhere ρ0 and a are constants. (a) F...

In a certain medium, the electric potential is given by

where ρ0 and a are constants. (a) Find the electric field intensity, E. (b) Find the potential difference between the points x = d and x = 0. (c) If the medium permittivity is given by ϵ(x) = ϵ0eax, find the electric flux density, D, and the volume charge density, ρv, in the region. (d) Find the stored energy in the region (0 <x < d), (0 < y < 1),(0 < z < 1).