APFIVE Electric Flux of a Non-Uniform Field
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
$$\frac{8}{3}$$ N·m²/C
B
4 N·m²/C
C
0 N·m²/C
D
12 N·m²/C