Uniform charge density over a surface
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3. The figure show an edge-on view of a surface (in the middle) with some surface charge density sigma on it.
The E-field just above the surface is E = +2z[N/C].
Just below the surface it is E = -2z[N/C]
What is the charge density sigma on the surface?
https://brainmass.com/physics/applied-physics/uniform-charge-density-surface-591882
SOLUTION This solution is FREE courtesy of BrainMass!
By Gauss law,
Ez*ds + (-Ez)*(-ds) = sigma*d/epsilon_0
=> sigma/(epsilon_0) = 2*Ez
=> sigma = 2*Ez*epsilon_0 = 2*2 *8.86*10^(-12) = 35.44*10^(-12) C/m^2 = 3.544 *10^(-11) C/m^2
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