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AP Physics C: E&M
9.2 Electric Potential
9.1 Electric Potential Energy
IntermediateMCQMathematicalConceptual14k
A quantitative Cartesian coordinate graph plotted on a light-gray grid. The horizontal axis is labeled \(x\text{ (m)}\) with major ticks and numerical labels at integers from \(0\) to \(4\). The vertical axis is labeled \(E_x\text{ (V/m)}\) with major ticks and numerical labels at \(-200\), \(-100\), \(0\), \(100\), \(200\), and \(300\). A single continuous solid black piecewise line is plotted across the domain. The line begins at \((0, 200)\), extends horizontally to \((2, 200)\), proceeds downward with a constant negative slope through \((3, 0)\), and continues downward with a shallower negative slope to terminate at \((4, -100)\). A horizontal axis line at \(E_x = 0\) clearly separates positive and negative regions of the grid. No other labels, lines, text, or axes appear.
Electric field component \(E_x\) as a function of position \(x\).
An electric field in a region of space is directed parallel to the \(x\)-axis. The graph shows the \(x\)-component of the electric field, \(E_x\), as a function of position \(x\). An alpha particle moves along the \(x\)-axis from \(x = 0\) to \(x = 4.0\text{ m}\). What is the change in the electric potential energy of the alpha-particle-field system as the particle moves between these two positions?

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