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AP Physics C: E&M
8.6 Gauss’s Law
8.4 Electric Fields of Charge Distributions
IntermediateMCQConceptual21.8k
A 2D Cartesian plot showing electric field component \(E_x\) on the vertical axis versus position \(x\) on the horizontal axis. Bare perpendicular axes intersect at the origin \((0, 0)\). The horizontal axis has tick marks labeled \(-2d\), \(-d\), \(0\), \(d\), and \(2d\). The vertical axis has a single positive tick mark labeled \(E_0\). A single solid curve traces the field piecewise across five intervals: for \(x < -2d\), a horizontal line segment along the horizontal axis at \(E_x = 0\); from \(x = -2d\) to \(x = -d\), a straight line segment sloping upward from \((-2d, 0)\) to \((-d, E_0)\); from \(x = -d\) to \(x = 0\), a horizontal line segment at height \(E_0\); from \(x = 0\) to \(x = 2d\), a straight line segment sloping downward from \((0, E_0)\) to \((2d, 0)\); for \(x > 2d\), a horizontal line segment along the horizontal axis at \(E_x = 0\). Vertical dashed lines extend from the tick marks at \(-2d\), \(-d\), and \(2d\) to the curve to mark boundary positions. No other labels, lines, text, or axes appear.
Plot of the electric field component \(E_x\) as a function of position \(x\).
Two infinite slabs of uniform thickness are oriented parallel to the yz-plane. Slab 1 occupies the region \(-2d \le x \le -d\), Slab 2 occupies the region \(0 \le x \le 2d\), and the region \(-d < x < 0\) is empty space. The graph shows the x-component of the electric field, \(E_x\), as a function of position \(x\) along the x-axis. Which of the following statements correctly interprets the charge distribution of the system from the graph?

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