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Electricity and Magnetism

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Potential of a Charged Plate

EANDM-KGFS0H

A plate that is very large in the $\hat{y} $ and $\hat{z}$ directions has a charge distribution on it on it such that the electric field is $\vec{E} = E_o \hat{x}$ as shown in the accompanying figure.

What is the expression that correctly represents the potential for $x > 0$?

A

$V(r)=0$

B

$V(r)=(E_o)/ \epsilon_o$

C

$V(r)=(E_o) \, x$

D

$V(r)=-(E_o) \, x$