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AP Physics C: E&M
8.6 Gauss’s Law
8.3 Electric Fields
8.1 Electric Charge and Electric Force
AdvancedMCQMathematicalConceptual15.6k
A horizontal solid line represents the \(x\)-axis with an arrow at the right end labeled \(x\). A vertical solid line intersects it perpendicularly at the center to represent the \(y\)-axis with an arrow at the top end labeled \(y\). The intersection is labeled \(O\). At a distance \(d\) to the left of the vertical axis, a small filled circle on the horizontal axis is labeled \(+Q\), with a tick mark on the axis labeled \(-d\). At an equal distance \(d\) to the right of the vertical axis, an identical small filled circle on the horizontal axis is labeled \(+Q\), with a tick mark on the axis labeled \(+d\). At the intersection of the two axes sits a smaller open circle labeled \(-q\). No other labels, lines, text, or axes appear.
Two fixed charges \(+Q\) on the \(x\)-axis with charge \(-q\) at the origin.
Two identical point particles, each with positive charge \(+Q\), are fixed on the \(x\)-axis at positions \(x = -d\) and \(x = +d\), respectively. A third particle with charge \(-q\) is placed at rest at the origin, where the net electrostatic force exerted on it is zero. Which of the following correctly classifies the stability of this equilibrium for small displacements of the third particle along the \(x\)-axis and along the \(y\)-axis?

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