A cylinder of radius \( R \) and length \( \mathrm{L} \) is placed in a uniform electric field E...

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A cylinder of radius \( R \) and length \( \mathrm{L} \) is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by
(1) \( 2 \pi R^{2} E \)
(2) \( \pi \mathrm{R}^{2} / \mathrm{E} \)
\( P \)
(3) \( \left(\pi R^{2}-\pi R\right) / E \)
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