hi, i need solutions for these exercises. if there is no possibility for solutions for all of them that's ok, solve the one that you can solve. thanks Exercise 2.2. Consider a sphere of radius R with a uniform polarization P = Poz. Findthe bound charge densities.The electric polarization is defined asD = EE + PThis quantity satisfies the property thatV.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)r€2----(24)= E1 + E2(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.

I have use the concept of free charge that

Answered: Exercise 2.3. Consider a cylinder of…

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Exercise 2.3. Consider a cylinder of radius R with polarization P = free charge. Calculate the electric field E everywhere. Popp. There is no