The electric field in a region is given by \( \vec{E}=200 \hat{i} \) N/C for \( \mathrm{x}0 \) a...

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The electric field in a region is given by \( \vec{E}=200 \hat{i} \) N/C for \( \mathrm{x}0 \) and \( -200 \hat{i} \) N/C for \( \mathrm{x}0 \). A closed cylinder of length \( 2 \mathrm{~m} \) and cross-section area \( 10^{2} \mathrm{~m}^{2} \) is kept in such a way that the axis of cylinder is
P along \( \mathrm{X} \)-axis and its centre coincides with origin. The total charge inside the cylinder is

W. ГTake \( \left.: \varepsilon_{n}=8.85 \times 10^{-12} \mathrm{C}^{2} \mathrm{~m}^{2} . \mathrm{N}\right) \)
(A) 0
(B) \( 1.86 \times 10^{-5} \mathrm{C} \)
(C) \( 1.77 \times 10^{-11} \mathrm{C} \)
(D) \( 35.4 \times 10^{-8} \mathrm{C} \)
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