(a) Both the magnitude and the direction of Electric Field (E) are constant across the entire surface.

(b) \(\displaystyle\theta={1.57}\ {r}{a}{d}\)

(c) As implied by the fact that E(out) is not given as a function of x, this magnitude is constant everywhere outside the slab, not just at the surface.

\(\displaystyle{E}_{{{o}{u}{t}}}={\frac{{{d}\rho}}{{{2}\cdot\epsilon_{{0}}}}}\)

(d) \(\displaystyle{E}_{{\in}}={p}{h}{o}\cdot{\frac{{{X}}}{{\epsilon_{{0}}}}}\)

(b) \(\displaystyle\theta={1.57}\ {r}{a}{d}\)

(c) As implied by the fact that E(out) is not given as a function of x, this magnitude is constant everywhere outside the slab, not just at the surface.

\(\displaystyle{E}_{{{o}{u}{t}}}={\frac{{{d}\rho}}{{{2}\cdot\epsilon_{{0}}}}}\)

(d) \(\displaystyle{E}_{{\in}}={p}{h}{o}\cdot{\frac{{{X}}}{{\epsilon_{{0}}}}}\)