A slab of insulating material has thickness 2d and is oriented so that its faces

Question

A slab of insulating material has thickness 2d and is oriented so that its faces are parallel to the z-plane and given by the planes x=d and x= - d. The y- and z-dimensions of the slab are very large compared to d and may be treated as essentially infinite. The slab has a uniform positive charge density ho
a) Explain why the electric field due to the slab is zero at the center of the slab (x=0).
b) Using Gauss's law, find the magnitude of the electric field due to the slab at the points 0<=x<=d.
c)What is the direction of the electric field due to the slab at the points 0<=x<=d ?
d)Using Gauss's law, find the magnitude of the electric field due to the slab at the points x>=d . Express your answer in terms of the variables ho, x, d, and epsilon_0.
e) What is the direction of the electric field due to the slab at the points x>=d?

Explanation / Answer

a) he was correct

b) [(rho_0)*x^3] / (3*(epsilon_0)*d^2

c) away from x=0

d)[(rho_0)*d] / (3*(epsilon_0)

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