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An infinitely long strip of negligible thickness is placed in the xy plan. The strip extends...

An infinitely long strip of negligible thickness is placed in the xy plan. The strip extends from x = −∞ to x = ∞ and from y = −d/2 to y = +d/2. A constant surface charge density σ (in C/m2) is placed on the the strip.
(a) Find the electric field ~ E at any point (x,y,0) where y > d/2.

(b) Find the electric field ~ E at any point (0,0,z) above the strip.

(c) In the previous two calculations, explain any 0 component of ~ E in terms of symmetries. (Use sketches if you want.)

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