Two parallel plates of area \( 100 \mathrm{~cm}^{2} \) are given charges of equal magnitudes \( ...

Two parallel plates of area \( 100 \mathrm{~cm}^{2} \) are given charges of equal magnitudes \( 8.4 \times 10^{-7} \mathrm{C} \) but opposite signs. The electric field within the dielectric material filling the space between the plates is \( 1.4 \times 10^{6} \mathrm{~V} / \mathrm{m} \). (a) Calculate the dielectric constant of the material. (b) Determine the magnitude of the charge induced on each dielectric surface.