# A slab of insulating material of uniform thickness d, lying between \frac{-d}{2} to \frac{d}{2} along the x axis, extends infinitely in the y and z directions, as shown in the figure. The slab has a uniform charge density \rho. The electric field is zero in the middle of the slab, at x=0. Which of the following statements is true of the electric field E_{vec} at the surface of one side of the slab?

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A slab of insulating material of uniform thickness d, lying between $$\displaystyle{\frac{{-{d}}}{{{2}}}}$$ to $$\displaystyle{\frac{{{d}}}{{{2}}}}$$ along the x axis, extends infinitely in the y and z directions, as shown in the figure. The slab has a uniform charge density $$\displaystyle\rho$$. The electric field is zero in the middle of the slab, at x=0. Which of the following statements is true of the electric field $$\displaystyle{E}_{{{\vec}}}$$ at the surface of one side of the slab?

2021-04-15
(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) $$\displaystyle{E}_{{\in}}={p}{h}{o}\cdot{\frac{{{X}}}{{\epsilon_{{0}}}}}$$

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$$\displaystyle{E}={5.0}\times{10}^{{3}}\frac{{N}}{{C}}$$