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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 (24) (25)

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 (24) (25)

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hi, i need solutions for these exercises. from 2.2 to 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 densities P. 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 P the bound charge densities. The electric polarization is defined as 5 D = EE + P This quantity satisfies the property that (22) (23) = Poz. Find = 1 + E21 a (24) 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) (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:The effect of polarization is to give bound charge densities P. 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 P the bound charge densities. The electric polarization is defined as 5 D = EE + P This quantity satisfies the property that (22) (23) = Poz. Find = 1 + E21 a (24) 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) (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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