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A circular loop of wire of radius $r = 12 \: \text cm$ lies in the $x \text {-} y$ plane. The loop is located in a region of uniform electric field, $\overrightarrow {E} = 1.2 \: \frac {\text N}{ \text C} \widehat { z}$.

What is the electric flux $ \phi_E$, through the loop?

A

$172.8 \: \frac {\text N{\text m}^{2}}{\text C}$

B

$0.453 \: \frac {\text N{\text m}^{2}}{\text C}$

C

$0.108 \: \frac {\text N{\text m}^{2}}{\text C}$

D

$0.144 \: \frac {\text N{\text m}^{2}}{\text C}$

E

$0.054 \: \frac {\text N{\text m}^{2}}{\text C}$

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