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A metal sphere of radius a has a uniform (free) charge density σf on its surface....

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Physics

A metal sphere of radius a has a uniform (free) chargedensity σf on its surface. The permittivity of thedielectric region surrounding the sphere varies as , wherer is the radial coordinate.

  1. (1 pts) Determine the polarization P and electric fieldintensity E inside the sphere.
  2. (3 pts) Determine the polarization P and electric fieldintensity E in the dielectric.
  3. (5 pts) Calculate all bound charge densities, ρb andσb. Is the dielectric homogeneous?
  4. (1 pts) Test whether the electric field intensity E in thedielectric is conservative.

Answer & Explanation Solved by verified expert
3.6 Ratings (449 Votes)
The problem can be formulated as followsThe charges on the spherical conductor comes up on the surfaceand distributes itself uniformly with charge    See Answer
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