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Consider an infinitely long flat sheet of charges of width 2a. It is parallel to the...

Consider an infinitely long flat sheet of charges of width 2a. It is parallel to the axis y and lies in (xy) plane in between x=-a and x=+a. The charges are distributed uniformly, with surface density σ. Find an expression for the electrostatic field E at height Z above the midline of the charged sheet (i.e. above y axis).

Hint: As a starting point, you can use the formula for infinitely long line of charges.

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