Aparallel plate capacitor of plate area a and plate separation b is filled with a dielectric substance whose dielectric constant is k = 1 + x/b where the x-axis is perpendicular to the plates and the plates are at x = 0 and x= b. neglecting fringing effects, find the capacitance of the capacitor the electric field, electric displacement, and polarization when a potential difference vis applied between the plates. the free surface charge density on the plates, the bound volume charge inside the dielectric, and the bound surface charge on the surface of the dielectric when a potential difference vis applied between the plates.