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AP Physics C: E&M
10.1 Electrostatics with Conductors
IntermediateMCQConceptual18.8k
A line graph showing the radial electric field magnitude E as a function of radial distance r. The horizontal axis is labeled r and has tick marks at the origin 0, R, 2R, and 3R. The vertical axis is labeled E and has a tick mark labeled E_0. From r = 0 to r = R, a heavy solid line lies along the horizontal axis at E = 0. At r = R, a vertical dashed line extends upward from the axis to a height E_0. From r = R to r = 2R, a solid curve decreases smoothly with upward concavity from (R, E_0) to (2R, E_0/2). At r = 2R, a vertical dashed line drops from (2R, E_0/2) to the horizontal axis. From r = 2R to r = 3R, a heavy solid line lies along the horizontal axis at E = 0. At r = 3R, a vertical dashed line rises from the axis to a height of E_0/3, and a solid curve decreases smoothly with upward concavity toward the horizontal axis for r > 3R. No other labels, lines, text, or axes appear.
Radial electric field magnitude as a function of distance from the central axis.
A long electrostatic system consists of concentric cylindrical regions centered on the z-axis. The electric field is directed radially outward, with magnitude \(E(r) = 0\) for \(0 \le r < R\), \(E(r) \propto 1/r\) for \(R < r < 2R\), \(E(r) = 0\) for \(2R < r < 3R\), and \(E(r) \propto 1/r\) for \(r > 3R\), as shown in the graph. Which of the following statements correctly describes the physical properties of the system based on this field profile?

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