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AP Physics C: E&M
8.3 Electric Fields
8.1 Electric Charge and Electric Force
IntermediateMCQMathematicalConceptual24k
A quantitative Cartesian plot with horizontal axis labeled \(x\text{ (m)}\) and vertical axis labeled \(E_x\). Ticks on the horizontal axis are marked at \(-1\), \(0\), \(1\), \(2\), \(3\), and \(4\). Vertical dashed lines represent asymptotes at \(x = 0\) and \(x = 3\). A single solid curve is plotted in three separate segments: for \(x < 0\), the curve lies entirely below the horizontal axis, starting near \(E_x = 0\) at the far left and curving downward toward \(-\infty\) as it approaches \(x = 0\); for \(0 < x < 3\), the curve descends from \(+\infty\) immediately to the right of \(x = 0\), passes through zero at exactly \(x = 2\), and continues downward toward \(-\infty\) as it approaches \(x = 3\); for \(x > 3\), the curve descends from \(+\infty\) immediately to the right of \(x = 3\) and flattens out toward the horizontal axis as \(x\) increases. No other labels, lines, text, or axes appear.
Graph of the electric field component \(E_x\) versus position \(x\) along the axis containing the charges.
Two point charges, \(q_1\) and \(q_2\), are fixed on the \(x\)-axis at \(x = 0\) and \(x = 3.0\text{ m}\), respectively. The accompanying graph shows the resulting electric field component \(E_x\) along the \(x\)-axis, where \(E_x > 0\) corresponds to an electric field directed in the \(+x\)-direction. The field diverges toward \(+\infty\) immediately to the right of each charge and toward \(-\infty\) immediately to the left, and it crosses zero at \(x = 2.0\text{ m}\). Based on the graph, which of the following statements correctly identifies the signs and relative magnitudes of the two charges?

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