Find the potential and electric field intensity everywhere

Question

What is the electric field intensity and the electric potential outside the plates in Example 5.1? Hint: You must use Gauss ; law.

Example 5.1

The plates of a capacitor are separated a distance d and grounded as in Figure 5.1. The dielectric between the plates has permittivity ε and a volume charge density p­v(x) = P0x(x - d) [C/m³] is distributed throughout the volume of the dielectric. Find the potential and electric field intensity everywhere between the plates of the capacitor.