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Finding the electric field using Gauss’s law may seem to be a hopeless task. After all,...

Finding the electric field using Gauss’s law may seem to be a hopeless task. After all, while the electric field does appear in the equation, it is only the normal component that emerges from the dot product, and it is only the integral of that normal component over the entire surface that is proportional to the enclosed charge.
(ii) Do realistic situations exist in which it is possible to dig the electric field out of its interior position in Gauss’s law?
(iii) Use Gauss’s law to find the electric field at a distance r from the center of a sphere with uniform volume charge density q and radius a.

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