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Electric Flux of a Non-Uniform Field
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A non-uniform electric field is given by $$\vec{E} = (2xy)\hat{i} + (x^2)\hat{j} + (3z)\hat{k}$$ N/C. What is the electric flux through a $$2~\mathrm{m} \times 4~\mathrm{m}$$ rectangle in the xz-plane centered at the origin?

A

12 N·m²/C

B

$$\frac{8}{3}$$ N·m²/C

C

4 N·m²/C

D

0 N·m²/C

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