a. An infinitely long sheet of charge of width L lies in the xy plane between x

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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 at height z above the centerline of the sheet.
b. Verify that your expression has the expected behavior if z V L and if z >> L.
c. Draw a graph of field strength E versus z.

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