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AP Physics C: E&M
8.6 Gauss’s Law
8.5 Electric Flux
8.4 Electric Fields of Charge Distributions
IntermediateMCQGraphicalMathematicalConceptual23.9k
A 2D line graph showing electric flux \(\Phi_E\) on the vertical axis plotted against center position \(x\) on the horizontal axis. The horizontal axis is labeled \(x\) at the right end and has a central tick labeled \(0\), with symmetric ticks labeled \(-x_0\) to the left and \(+x_0\) to the right. The vertical axis is labeled \(\Phi_E\) at the top end and intersects the horizontal axis at \(x = 0\), with a tick labeled \(\Phi_{\text{max}}\) near the top. A single solid smooth curve is plotted symmetrically about the vertical axis. The curve starts near zero at large negative \(x\), curves upward with increasing positive slope, passes through an inflection point at \(x = -x_0\), reaches a rounded peak with a horizontal tangent at \((0, \Phi_{\text{max}})\), passes through a symmetric inflection point at \(x = +x_0\) where the slope is steepest negative, and asymptotically approaches zero at large positive \(x\). Bare axes with no gridlines. No other labels, lines, text, or axes appear.
Electric flux through the loop as a function of its center position.
A long, uniform line of positive charge with linear charge density \(\lambda\) lies along the \(z\)-axis.

A flat rectangular loop of width \(w\) along the \(x\)-direction and length \(L\) along the \(z\)-direction lies in the plane \(y = d\) (where \(d > 0\)), with its area normal pointing in the \(+y\)-direction. The loop translates parallel to the \(x\)-axis at constant speed, and the electric flux \(\Phi_E\) through the open surface bounded by the loop is plotted as a function of the loop's center position \(x\), as shown.

Which of the following statements correctly interprets the features of the graph?

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