How to Plot Electric Potential and Field with Given Boundary Conditions?

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TomorrowS
2017-08-06 17;36;32.PNG

To plot the electric potential and electric field, we should find the function about x, y.The attempt at a solution
I try to get E(ΔV/d) in x-axis, but no more development, to y and diagonal direction.

plus, Let me know how to use V=1, -1 plate, and V=0(boundary).
 
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It just asks to draw the answer, so I think that trying to determine a "function about x, y" is more than it is asking for. Also, I don't see any conformal mapping that would give you such a function. You can use symmetry to determine some values on the y axis. I don't know what type of "drawing" would work well.