Applying Gauss's law using a cylindrical pillbox extending above and below a charged infinite plane in cgs, the electric field satisfies
where
is the unit normal and is the surface charge density. By symmetry,
and solving for E gives
Current Sheet, Electric Field, Gauss's Law, Infinite Parallel Planes
References
Griffiths, D. J. Introduction to Electrodynamics, 3rd ed. Englewood Cliffs, NJ: Prentice-Hall, pp. 63-64, 1998.
