Consider an electric field \( \vec{E}=E_{0} \hat{x} \) where \( E_{0} \) is a constant. The flux...

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Consider an electric field \( \vec{E}=E_{0} \hat{x} \) where \( E_{0} \) is a constant. The flux through the shaded area (as shown in the figure) due to this field is
(A) \( 2 E_{0} a^{2} \)
(B) \( \sqrt{2} E_{0} a^{2} \)
(C) \( E_{0} a^{2} \)
(D) \( \frac{E_{0} a^{2}}{\sqrt{2}} \)
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