Question

Show, by integrating Coulomb’s Law, that the field anywhere
inside of a spherical shell with uniform surface-charge
distribution, is zero. You are not allowed to make use of Gauss’
Theorem. Hint: start by showing that the field anywhere along an
axis of the sphere is zero. Then, reason that any point within the
sphere can be considered to be along a symmetry axis. *Warning:
be careful, once you do the integral, to make sure you take
consistent signs for square roots.*

Answer #1

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