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Just give me the final answer please

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a https://session.masteringphysics.com/myct/itemView?assignmentProblemID-50364121 PHY 262 Summer 15 HW3Problem 21.103 Help | Close Resources « previous 1 of 12 |next Problem 21.103 Part A An infinite sheet with positive charge per unit area lies in the xy-plane. A second infinite sheet with negative charge per unit area- lies in the yz-plane. Find the net electric field at all points that do not lie in either of these planes. Express your answer in terms of the unit vectors i,j, and k. 0 Submit My Answers Give Up ovide Feedback Continue

Explanation / Answer

here

For the xy-sheet, the field is along the z direction:

E = (sigma / (2*eps0)) * z / mode( z) k-hat

The sgn(z) function ( sgn(z) is +1 for positive z and -1 for negative z, i.e. It gives the sign of z) makes sure the E-field points away from the sheet for positive sigma.

Likewise for the yz-sheet:

E = - (sigma / (2 * eps0) ) * x/ mode (x)) i-hat

then the total field is

E = (sigma / 2 *eps0) * [ - x / mode(x) i-hat + z / mode(z) k-hat)

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