Ahemisphere made of dielectric material has its flat surface on the x-y plane. it is polarized in the z direction: p = p zˆ , where p is a constant. a) find the bound volume charge density. b) find the bound surface charge density on the flat and on the hemispherical surface. c) find by integration the net bound charge of the hemisphere. d) find by integration the dipole moment of the bound charge, with your coordinates’ origin at the center of the flat surface (i. e., by the formulas of chapter 3). e) calculate the dipole moment also by using the definition of the polarization p in section 4.1.4, which results into p = ∫ p dv .