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AP Physics C: E&M
8.6 Gauss’s Law
8.5 Electric Flux
AdvancedMCQMathematicalProportional AnalysisConceptual23.5k
A horizontal open cylindrical tube viewed from a slightly elevated angle. The cylinder has a circular left rim and a circular right rim, both drawn as open ellipses, with the interior visible to indicate the ends are uncapped. A horizontal dashed centerline extends along the cylindrical axis from the left rim to the right rim. At the exact midpoint of this centerline sits a small solid circle labeled \(+q\). A double-headed horizontal dimension arrow beneath the cylinder spans the full length from the left rim to the right rim, labeled \(L\). A single straight vertical arrow points upward from the centerline to the top edge of the right circular rim, labeled \(R\). No other labels, lines, text, or axes appear.
A point charge \(+q\) at the center of an open cylindrical tube of length \(L\) and radius \(R\).
A point charge \(+q\) is fixed at the center of a hollow, thin-walled cylindrical shell of radius \(R\) and length \(L\). The flat circular ends of the cylinder are open, such that only the curved cylindrical surface is present. Let \(\Phi_{\text{curved}}\) represent the net electric flux passing outward through this curved surface. Which of the following statements correctly describes the limiting behavior of \(\Phi_{\text{curved}}\) as \(L \to 0\) and as \(L \to \infty\)?

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