There is a very large horizontal conducting plate in the plane (consider it infinitely large). Its thickness is . The charge densities on the upper and the lower surfaces are both equal to .
The goal of this problem is to find the electric field (magnitude and direction) at different points.
(a) Consider a point above the upper surface. What is the direction of the electric field?
What is the magnitude of the electric field? Express your answer in terms of, if necessary, , and the constant .
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(b) Consider now a point below the lower surface. What is the direction of the electric field?
What is the magnitude of the electric field? Express your answer in terms of, if necessary, , and the constant .
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(c) Consider now a point below the top surface.
What is the magnitude of the electric field? Express your answer in terms of, if necessary, , and the constant .
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