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AP® Physics C: E & M

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Difficult

$E$ Field Inside Charged Insulator

APPHEM-K4AYUL

What is the electric field at radius $r$ inside a solid charged insulating sphere with a radius of $R$, and a charge density $ \rho $?

A

$\large E= \cfrac{ \rho r}{3 \epsilon_{o}}$

B

$\large E= \cfrac{ \rho r^{2}}{3 \epsilon_{o}}$

C

$\large E= \cfrac{ \rho r^{3}}{3 \epsilon_{o}}$

D

$\large E= \cfrac{ \rho r^{4}}{3 \epsilon_{o}}$

E

$\large E= \cfrac{ \rho r^{5}}{3 \epsilon_{o}}$