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A uniformly charged, straight filament 6.60 m in length has a total positive charge of 2.00...

A uniformly charged, straight filament 6.60 m in length has a total positive charge of 2.00 µC. An uncharged cardboard cylinder 2.10 cm in length and 10.0 cm in radius surrounds the filament at its center, with the filament as the axis of the cylinder.

(a) Using reasonable approximations, find the electric field at the surface of the cylinder.

(b) Using reasonable approximations, find the total electric flux through the cylinder.

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