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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