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Problem 5. A non-conductive solid sphere has a volumetric charge distribution given by ρ (r) =...

Problem 5. A non-conductive solid sphere has a volumetric charge distribution given by ρ (r) = (β / r) sin (πr / 2R). Where R is the radius of the sphere and β a positive constant. Find the total charge contained in the spherical volume and the electric field in regions r> R and r <R. Show that the two expressions for the electric field are equal in r = R.

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