Why do you prefer Gaussian surface having some
symmetry?
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Gaussian surface
Explanation:
The Gaussian surface is chosen to have a constant value of |E|. It would simplify calculations if you look for a Gaussian surface with symmetries. The symmetry of |E| is dictated by the symmetries of the charge distribution. So a spherically-symmetric charge distribution will produce a spherically symmetric |E|. So in order to choose the appropriate Gaussian surface:
symmetry of the charge distribution → symmetry of |E| → symmetry of the Gaussian surface.
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