Applying Gauss's law using a cylindrical pillbox extending above and below a charged infinite plane in cgs, the electric field satisfies
(1)
where
is the unit normal and 
is the surface charge density. By symmetry,
, so 
(2)
and solving for E gives
(3)
Similarly, in MKS
(4)
where
is the permittivity of free space, by symmetry,,
(5)
so
(6)
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