Gauss Law for non uniform spherical shell

samedi 28 septembre 2013

So i can see by symmetry arguments why The electric field inside a uniformly charged spherical shell would be zero inside.



But what about a non uniformly charged spherical shell. Say most of the charge is located on one side, why is the electric field still zero? I can see that the flux through any Gaussian surface I draw inside may be zero but when I look at it I don't really understand why the electric field is 0. If most the charge is located on side, I would imagine that a test charge inside would either attract or be repelled since the charge is not uniform. Can someone clear this up for me?






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