Electric charge is distributed uniformly over the surface of an infinitely large flat plate. The electric field at a distance of 2 cm from the plate is 30 N/C. The electric field at a distance of 4 cm from the plate is
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The electric field produced by a large flat plate with uniform charge density on its surface can be found by using Gauss law, and it is equal to
E=
0
σ
where
is the charge density
\epsilon_0ϵ
0
is the vacuum permittivity
We see that the intensity of the electric field does not depend on the distance from the plate. Therefore, the strenght of the electric field at 4 cm from the plate is equal to the strength of the electric field at 2 cm from the plate:
E=30 N/CE=30N/C
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