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AP Physics C: E&M
9.2 Electric Potential
8.3 Electric Fields
Multi-Unit
AdvancedMCQMathematicalConceptual20.7k
A Cartesian coordinate plot showing a single solid curve representing electric potential \(V\) as a function of position \(x\). The horizontal axis is labeled \(x\text{ (m)}\) with tick marks and integer labels at 0, 1, 2, 3, 4, 5, and 6. The vertical axis is labeled \(V\text{ (V)}\) with tick marks and labels at -6, -4, -2, 0, 2, 4, and 6. From \(x = 0\) to \(x = 2\text{ m}\), a smooth parabolic curve opens downward, starting at \((0, 0)\), reaching a local maximum at \((1, 4)\), and passing through \((2, 0)\). A vertical dashed line extends from \((1, 4)\) down to 1 on the horizontal axis, and a horizontal dashed line extends from \((1, 4)\) left to 4 on the vertical axis. From \((2, 0)\) to \((4, -6)\), the graph is a straight solid line segment sloping downward. A vertical dashed line extends from \((4, -6)\) up to 4 on the horizontal axis, and a horizontal dashed line extends from \((4, -6)\) left to -6 on the vertical axis. From \((4, -6)\) to \((6, -6)\), the graph is a flat horizontal solid line. No other labels, lines, text, or axes appear.
Electric potential \(V\) as a function of position \(x\).
The electric potential \(V\) as a function of position \(x\) along the \(x\)-axis in an isolated region is shown in the graph. The profile consists of a parabolic curve with its vertex at \((1\text{ m}, 4\text{ V})\) extending from \(x = 0\) to \(x = 2\text{ m}\), a linear segment from \(x = 2\text{ m}\) to \(x = 4\text{ m}\), and a horizontal line from \(x = 4\text{ m}\) to \(x = 6\text{ m}\). Which of the following statements correctly describes the electric field component \(E_x\) in this region?

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