All questions
AP Physics C: E&M
8.6 Gauss’s Law
8.5 Electric Flux
IntermediateMCQConceptual24.6k
A perspective line drawing of a cube with edge length labeled L. A long vertical line representing a uniform line charge passes through the exact centers of the top and bottom square faces of the cube, extending well beyond the top and bottom. The line is drawn as a thin line with small positive signs placed adjacent to it outside the cube and labeled \lambda. The edges of the cube are drawn as solid lines for the front faces and dashed lines for the rear hidden edges. A dashed double-headed arrow indicates the cube's edge length L along one bottom front edge. No other labels, lines, text, or axes appear.
A cubic Gaussian surface centered on an infinitely long line of charge.
An infinitely long, thin wire carries a uniform linear charge density \(\lambda\). A student constructs an imaginary closed cubic Gaussian surface of edge length \(L\) oriented such that the line charge passes symmetrically through the centers of two opposing square faces. Although the net electric flux through the cube is equal to \(\dfrac{\lambda L}{\varepsilon_0}\), this Gaussian surface cannot be directly used to calculate the electric field magnitude produced by the wire. Which of the following provides the best explanation for this limitation?

Log In to Continue

Accounts are free! Log in to try this question, see explanations, save progress, and more!

Tools for a 5