Question

A sphere of radius R carries a polarization , where is a constant. (note that there...

A sphere of radius R carries a polarization

,

where is a constant. (note that there is no free charge)

  1. What is the surface bound charge and the volume bound charge .
  2. Find the electric field inside and outside the sphere. (Hint: you can use the result of Q1 to calculate the electric field inside the sphere, that the total charge due to polarization vanishes. Outside the sphere, calculate the enclosed charge from the volume bound charge)
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