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Electricity and Magnetism

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Moderate

Drop Off in the Electric Field of a Charged Disk

EANDM-VCFQFL

A disk of radius $R$ has a surface charge density $\sigma$ distributed uniformly over its surface. At what distance along a line perpendicular to the center of the disk will you measure an electric field that is half the electric field at the surface of the disk?

A

$d = \cfrac {R}{3}$

B

$d = \cfrac {R}{2}$

C

$d = \cfrac {R}{\sqrt 3}$

D

$d =R$

E

$d = {R}{\sqrt 3}$