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 η. Derive an expression for the electric field E along the x-axis for points outside the sheet (x > L/2).
b. Verify that your expression has the expected behavior if x >> L.

c. Draw a graph of field strength E versus x for x > L/2.