A hollow cylindrical box of length \( 1 \mathrm{~m} \) and area of cross-section \( 25 \mathrm{~...

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A hollow cylindrical box of length \( 1 \mathrm{~m} \) and area of cross-section \( 25 \mathrm{~cm}^{2} \) is placed in a three dimensional coordinate system as shown in the figure. The electric field in the region is given by \( \vec{E}=50 x \hat{\imath} \), where \( E \) is in \( \mathrm{NC}^{-1} \) and \( x \) is in metres. Find
(i) Net flux through the cylinder.
(ii) Charge enclosed by the cylinder.
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