## Question

###### A slab of insulating material has a nonuniform positive charge density $ho=C x^{2}$, where $x$ is measured from the center of the slab as shown in Figure $mathrm{P} 24.59$ and $C$ is a constant. The slab is infinite in the $y$ and $z$ directions. Derive expressions for the electric field in (a) the exterior regions and (b) the interior region of the slab $(-d / 2<$ $x<d / 2)$.

A slab of insulating material has a nonuniform positive charge density $ ho=C x^{2}$, where $x$ is measured from the center of the slab as shown in Figure $mathrm{P} 24.59$ and $C$ is a constant. The slab is infinite in the $y$ and $z$ directions. Derive expressions for the electric field in (a) the exterior regions and (b) the interior region of the slab $(-d / 2<$ $x<d / 2)$.

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