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Electricity and Magnetism

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Moderate

Coulomb's Law and Symmetry

EANDM-2B3JXH

A plastic hoop of radius $R=35 \:\rm cm$ has 12 charges each with $q = 1.0 \mu \rm C$ placed symmetrically around the circumference of the hoop. One charge is removed and placed at the center of the of the hoop as shown in the figure below.

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What is the magnitude of the force on the charge in the center of the hoop?

A

$73 \:\rm N$

B

$0.026 \:\rm N$

C

$73,000 \:\rm N$

D

$2.4 \:\rm N$

E

$0.073 \:\rm N$