A large parallel-plate capacitor is connected to a 100 V battery. The plates are 1.0 mm apart and the space between them is completely filled with a dielectric of relative permittivity 5.
(i) Calculate the free surface charge density on each plate.
(ii) Calculate the magnitude of the bound surface charge density that appears on each surface of the dielectric.
(Take ε0=8.85×10−12C2N−1m−2.)
a. (i) free surface charge density
b. (ii) bound surface charge density