In a uniform electric field, a cube of side $1\ cm$ is placed. The total energy stored in the cube is $8.85\ \mu J.$ The electric field is parallel to four of the faces of the cube. The electric flux through any one of the remaining two faces is.
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Energy $=\frac{1}{2} \in_{0} \mathrm{E}^{2}$ (volume)

$8.85 \times 10^{-6}=\frac{1}{2} \times 8.85 \times 10^{-12} \mathrm{E}^{2}\left(10^{-6}\right)$

$\mathrm{E}=\sqrt{2} \times 10^{6} \mathrm{\,V} / \mathrm{m}$

flux $(\phi)=E A$

$=\sqrt{2} \times 10^{+6} \times 10^{-4}=100 \sqrt{2}\,(\mathrm{V}/ \mathrm{m})$

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