An electric field $\vec{E}=(2 x \hat{i}) N C^{-1}$ exists in space. A cube of side $2 \mathrm{~m}$ is placed in the space as per figure given below. The electric flux through the cube is ______ $\mathrm{Nm}^2 / \mathrm{C}$.

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Aicharya · Accepted Answer

$\begin{aligned} & \overrightarrow{\mathrm{E}}=2 x \hat{\mathrm{i}} \ & \phi=\overrightarrow{\mathrm{E}} \cdot \overrightarrow{\mathrm{A}}\end{aligned}$ $\begin{aligned} & \phi_{	ext {in }}=-4 	imes 4=-16 \mathrm{Nm}^2 / \mathrm{c} \ & \phi_{	ext {out }}=8 	imes 4=32 \mathrm{Nm}^2 / \mathrm{c} \ & d_{	ext {net }}=\phi_{	ext {in }+} \phi_{	ext {out }}=-16+32=16 \mathrm{Nm}^2 / \mathrm{c}\end{aligned}$

An electric field $\vec{E}=(2 x \hat{i}) N C^{-1}$ exists in space. A cube of side $2 \mathrm{~m}$ is placed…

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