A nonconducting charged slab 1 of thickness 2a has a nonuniform but symmetrical volume charge density rho0x/a, rho0>0. The sheet is centered, at x=0, on the yz-plane of a Cartesian coordinate system.
Determine the magnitude of the electric field in the region [−a < x < a] as a function of x, the distance from the yz-plane. Express your answer in terms of the variables rho0, a, x, and the permittivity constant ϵ0.

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