A thin, flat sheet of charge has a uniform surface charge density (/2 on each side).

Question:

A thin, flat sheet of charge has a uniform surface charge density σ (σ/2 on each side).
(a) Sketch the field lines due to the sheet.
(b) Sketch the field lines for an infinitely large sheet with the same charge density.
(c) For the infinite sheet, how does the field strength depend on the distance from the sheet?
(d) For points close to the finite sheet and far from its edges, can the sheet be approximated by an infinitely large sheet?
(e) Use Gauss's law to show that the magnitude of the electric field near a sheet of uniform charge density σ is E = σ/(2ϵ0).