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. . .This
(5) Put one end inside the gap and one end within one of the plates.
gets interesting. In hindsight we see we will get the wrong answer forthe
field between the two plates if we assume the charge density on thesurface
contained within the gaussian surface is Q/2A where A is the surfacearea of
just the inner surface, but Q is the total charge. In order to accountfor
the electric field in the gap that is created by the charges on thewe
capacitor plate that is NOT currently contained on our gaussian surface,
have to assume the charge on the plate which contains the end of ouron
cylinder has all its charge on the inner side so that the charge density
the inner surface is Q/A rather than Q/2A.