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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

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

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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. Find the bound charge densities. The electric polarization is defined as D = EE + P This quantity satisfies the property that V.D = Pf (25) Exercise 2.3. Consider a cylinder of radius R with polarization P = Popp. There is no free charge. Calculate the electric field E everywhere. Exercise 2.4. A sphere of radius R has a position dependent permitivity given by 1 ε(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 R₂ has a uniform polarization P = Poz. Find the bound charge everywhere.
Transcribed Image Text:Exercise 2.2. Consider a sphere of radius R with a uniform polarization P = Poz. Find the bound charge densities. The electric polarization is defined as D = EE + P This quantity satisfies the property that V.D = Pf (25) Exercise 2.3. Consider a cylinder of radius R with polarization P = Popp. There is no free charge. Calculate the electric field E everywhere. Exercise 2.4. A sphere of radius R has a position dependent permitivity given by 1 ε(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 R₂ has a uniform polarization P = Poz. Find the bound charge everywhere.
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