Given the surface charge density, ρs = 2 µC/m2, existing in the region ρ<0.2 m, z = 0, find E at (a) PA(ρ = 0, z = 0.5); (b) PB(ρ = 0, z = −0.5). Show that (c) the field along the z axis reduces to that of an infinite sheet charge at small values of z; (d) the z axis field reduces to that of a point charge at large values of z.
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