Chapter 23, Problem 68EAP

a. An infinitely long sheet of charge of width L lies in the xy- plane between $x=-L/2$ and $x=L/2$ . The surface charge density is $\eta$ . Derive an expression for the electric field $\stackrel{\to }{E}$ at height z above the centerline of the sheet.

b. Verify that your expression has the expected behavior if $z\ll L$ and if $z\gg L$ .

c. Draw a graph of field strength E versus z.