Three infinite sheets of charge are located at x = -d, x = 0, and x =d , as show

Question

Three infinite sheets of charge are located at x = -d, x = 0, and x =d , as shown in the sketch the sheet at x =0 has a charge per unit area of 2 sigma , and the other two sheets have charge per unit area of -sigma.What is the electric field in each of the four regions I-IV labeled in the sketch? Clearly present your reasoning,relevant figures, and any accompanying calculations.Plot the x component of the electric field ,Ex , on the graph on the bottom of the next page. Clearly indicate on the vertical axis the values of Ex for the different regions.

Explanation / Answer

region I

E = sigma/eo - 2sigma/eo + sigma/eo = 0

region II

E = -sigma/eo - 2sigma/eo + sigma/eo = -2sima/eo

region III

E = -sigma/eo + 2sigma/eo + sigma/eo = +2sima/eo

region IV

E = -sigma/eo + 2sigma/eo - sigma/eo = 0

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