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# Electric Field Above a Symmetric Circle of Charge

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Figure 1 depicts a symmetric circle of charge. The charges lie on a circle of radius $\rho = 5.40 \text{ cm}$ in the $x$-$z$ plane. The line of charge contains a total charge $q = 0.420 \; \mu\rm{C}$.

What is the magnitude of the electric field at a height of $y = h = 7.66$ cm above the origin of coordinates?

A

$\vec{E} = 0.00$ N/C

B

$\vec{E} = 3.51 \times 10^5 \; \hat{y}$ N/C

C

$\vec{E} = 1.27 \times 10^6 \; \hat{y}$ N/C

D

$\vec{E} = 4.30 \times 10^5 \; \hat{y}$ N/C