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AP® Physics C: E & M

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Moderate

$E$ Inside Slab 1

APPHEM-PKERYJ

The diagram shows a slab of insulating material that is infinitely long in the $x$- and $z$-directions.

The slab's thickness in the $y$-direction is $2D$. The slab carries a uniform charge density $\rho$ distributed throughout its volume. Point $P$ is at $y = d$ which is inside the slab material $(d < D)$.

Which of the following expresses the electric field strength at point $P$?

A

$\dfrac{\rho D}{\epsilon_0}$

B

$\dfrac{\rho d}{\epsilon_0}$

C

$\dfrac{\rho d}{2\epsilon_0}$

D

$\dfrac{\rho D}{2\epsilon_0}$

E

$E$ is undefined because there is an infinite amount of charge.