Finding the electric field above a single charged plate of unspecified shape?
A flat dielectric plate of area 20.1 m^2 carries a uniformly distributed charge Q = 1.61E-5 C. What is the electric field 0.0449 m above the surface of the plate?
The field close to the plate is uniformly directed away from the plate. The field point is much closer to the plate than the size of the plate so the near plate approximation is good.
charge surface density 1.61e-5 C / 20.1 m^2 = 8.01e-7 C/m^2
E * A = q / εo
E = (1/εo) (q / A) = 8.01e-7 / 8.854e-12 = 9.05e+4 V/m
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