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Consider a cylindrical surface of radius...

Consider a cylindrical surface of radius R and length l in a uniform electric field E. Compute the electric flux if the axis of the cylinder is parallel to the field direction.

Text Solution

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We break the interal of into three terms: integral over the left cylinder cap a, the curved cylindrical surface b, and the right cap c.
`phi =oint vecE.dvecA =int _(a) vecE.dvecA + int _(b) vecE.dvecA + int _(c) vecE.dvecA.`
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