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AP Physics C: E&M
8.6 Gauss’s Law
8.5 Electric Flux
AdvancedMCQDrawing RepresentationsMathematicalConceptual15.2k
A horizontal cross-sectional schematic of a right-circular cone. A vertical dashed line along the vertical axis represents the flat circular base centered at the origin, extending symmetrically from y = -R to y = R. Two straight solid lines extend from the top and bottom endpoints of the vertical base to meet at a single apex on the horizontal axis at x = H, forming a triangle pointing to the right. Three horizontal solid arrows pointing to the right represent the electric field: one above the apex labeled \vec{E}, one passing through the interior, and one below the cone. A vertical dimension line across the flat base is labeled 2R, and a horizontal dimension line along the central axis is labeled H. No other labels, lines, text, or axes appear.
A closed cone in a uniform electric field.
A closed right-circular cone with base radius \(R\) and height \(H\) contains no net charge and is immersed in a uniform horizontal electric field \(\vec{E} = E_0 \hat{i}\). The flat circular base of the cone lies in the \(yz\)-plane at \(x = 0\), and its apex lies on the positive \(x\)-axis at \(x = H\). Which of the following diagrams correctly displays the electric field vectors \(\vec{E}\) and outward differential area vectors \(d\vec{A}\) at representative surface patches to justify that the net electric flux through the closed surface is zero?

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