4) A hollow cylinder is made out of a dielectric material. The axis of the cylinder is along thez-axis. The inner and outer radii of the cylinder are r; and r,, respectively. The material ispolarized, and the polarization is given as P = Po(3xê + 4yÿ).a) Find the surface polarization charge density and the total surface polarization charge per unitlength.b) Find the Volume polarization charge density and the total volume polarization charge perunit length.c) Find the total polarization charge per unit length.

Given: Inner radii of the cylinder =ri Outer radii of the cylinder =r0 Polarization vector…

4) A hollow cylinder is made out of a dielectric material. The axis of the cylinder is along the z-axis. The inner and outer radii of the cylinder are r, and r., respectively. The material is polarized, and the polarization is given as P = Po(3râ + 4yŷ). a) Find the surface polarization charge density and the total surface polarization charge per unit length. b) Find the Volume polarization charge density and the total volume polarization charge per unit length. c) Find the total polarization charge per unit length.

4) A hollow cylinder is made out of a dielectric material. The axis of the cylinder is along the z-axis. The inner and outer radii of the cylinder are r, and r., respectively. The material is polarized, and the polarization is given as P = Po(3râ + 4yŷ). a) Find the surface polarization charge density and the total surface polarization charge per unit length. b) Find the Volume polarization charge density and the total volume polarization charge per unit length. c) Find the total polarization charge per unit length.