Answer
$\Phi = 0$
Work Step by Step
We can find the flux:
$\Phi = \int E \cdot dA$
$\Phi = (4\hat{k}~N/C)\cdot (2\hat{i}+3\hat{j})~m^2$
$\Phi = (8~N~m^2/C)\hat{k}\cdot \hat{i}+ (12~N~m^2/C)~\hat{k}\cdot \hat{j}$
$\Phi = 0+0$
$\Phi = 0$
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