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If you put a coulomb of charge inside a faraday cage, the cage itself
seems to be charged with 1c, as if the flux lines go right through the
walls of the cage. However, if you move your 1c of charge to different
places within the cage, the field outside the cage does not change. The
cage does prevent us from seeing the charge distribution from outside.
But it doesn't prevent us from seeing the flux from any net charges which
we place inside.