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AP Physics C: E&M
8.3 Electric Fields
8.1 Electric Charge and Electric Force
IntermediateMCQConceptual13.6k
A vertical dashed line represents a vertical axis. At the top of the axis is a small solid circle labeled +Q. At the bottom of the axis is an identical small solid circle labeled +Q. The vertical separation between the two fixed charges is indicated by a vertical double-headed dimension arrow labeled 2d. Between the two charges, positioned along the vertical axis below the midpoint, is a small shaded circle labeled q, m. A single vertical downward arrow to the right of the axis is labeled g. No other labels, lines, text, or axes appear.
A charged sphere in equilibrium between two fixed positive charges.
Two identical point charges, each with positive charge \(+Q\), are fixed along a vertical axis and separated by a distance \(2d\) in a region with a uniform downward gravitational acceleration of magnitude \(g\).

A small sphere of mass \(m\) and positive charge \(q\) is released from rest and remains in static equilibrium on the vertical axis at a position between the two fixed charges.

Which of the following statements correctly characterizes the equilibrium of the sphere with respect to small vertical displacements, and provides the correct physical justification?

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