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A thin bar with cross-section A extends along the z axis from z = 0 to...

A thin bar with cross-section A extends along the z axis from z = 0 to z = b. It is polarized in this direction by Pz=ax²+b. Find the volumetric polarization density ρ0 and the surface polarization density at each end (assuming the charges are parallel to the XY plane). Finally, explicitly show that the total charge obtained from integrating these densities is zero.

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