Consider two slabs, each of infinite extent in the x and y directions, and each of thickness T in the z direction. The slabs are separated (in the z direction) by a distance L, and are located symmetrically about z = 0. Within the upper slab, the charge density is (z) = az⁵ (where the units of are [C/m³] and a is a constant with appropriate units). Within the lower slab the charge density is also (z) = az⁵ (which of course gives the upper and lower slabs the opposite charge density, since z⁵ is an odd function). The charge density is zero everywhere other than the slabs. Find the electric field everywhere (i.e., above and below the slabs, within the slabs, and between the slabs).

Reference: Electrodynamics, 4th Edition by David Griffiths

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