The electric field in a region is given by \( \mathbf{E}=\frac{E_{0} x}{l} \hat{\mathbf{i}} \). ...

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The electric field in a region is given by \( \mathbf{E}=\frac{E_{0} x}{l} \hat{\mathbf{i}} \). Find the charge contained inside a cubical volume bounded by the surfaces \( x=0, x=a, y=0, y=a, z=0 \) and \( z=a \). Take \( E_{0}=5 \times 10^{3} \mathrm{~N} / \mathrm{C} \), \( l=2 \mathrm{~cm} \) and \( a=1 \mathrm{~cm} \).
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