hi, i need solutions for these exercises. 2.1 through 2.5. if there is no possibility for solutions for all of them that's ok, solve the one that you can solve. thanks The effect of polarization is to give bound charge densitiesP. n-V.P.of =Pb =Exercise 2.1. Show that the total charge on a polarized object is zero.Exercise 2.2. Consider a sphere of radius R with a uniform polarization Pthe bound charge densities.The electric polarization is defined as5D = EE + PThis quantity satisfies the property that(22)(23)= Poz. Find= 1 + E21a(24)V.D = Pf(25)Exercise 2.3. Consider a cylinder of radius R with polarization P = Popp. There is nofree charge. Calculate the electric field E everywhere.Exercise 2.4. A sphere of radius R has a position dependent permitivity given by1ε(r)(26)At the center of the sphere is there is a charge Q. Find D and the bound charge every-where.Exercise 2.5. An inverted hemispherical bowl of inner radius R₁ and outer radius R₂has a uniform polarization P = Poz. Find the bound charge everywhere.

Show that total charge on a polarized object is zero.

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The effect of polarization is to give bound charge densities %b = P.n Pb = -V.P. Exercise 2.1. Show that the total charge on a polarized object is zero.