A conductor of orbitrary shape, carrying a charge `q`, is surrounded with uniform dielectric of permittivity `epsilon` (Fig).

Find the total bound charges at the inner and outer surfaces of the dilectric.

Explanation

From the solution of the previous problem `q'_(in)` = charge on the inerior surface of the conductor
`= - (epsilon - 1)//epsilon int sigma d S = - (epsilon - 1)/(epsilon) q`
`q'_(outer) = + (epsilon - 1)/(epsilon) q` on the outer surface of the dielectric.