An infinite insulating slab has thickness T and volume charge density ρ. The slab is positioned with its infinite surface parallel to the xy-plane and its center at z = 0. A field point is defined by the distance z (along the z-axis) from the center of the slab.

Determine expressions {ρ, z, T} for:

E in the regions defined by:

i) z < T/2 (inside the slab)

ii) z > T/2 (outside the slab)

Given Data:

Thickness of the insulating slab is T.

Volume charge density of the slab is ρ.

Center of the slab is at $z = 0$.

Absolute Permittivity is $ε∘=8.85×10 ^{−12} C ^2/N m ^2$

The infinite insulating slab having its surface parallel to xy-plane can be shown in fig …