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AP Physics C: E&M
8.4 Electric Fields of Charge Distributions
8.3 Electric Fields
8.1 Electric Charge and Electric Force
AdvancedMCQGraphicalMathematicalConceptual23.2k
A horizontal axis line labeled x passes horizontally through the center of the diagram, with an arrow pointing to the right. Two identical vertical ellipses representing thin circular rings of radius R are shown in perspective, centered on the horizontal axis at positions marked with short vertical tick marks labeled -d and +d. A central tick mark on the axis at the midpoint between the rings is labeled 0. Each ring has a charge label +Q positioned directly above it. A dashed radial line segment extends upward from the center of the left ring to its top rim, labeled R. A small filled circular dot representing an electron is located on the horizontal axis between the origin and the right ring, labeled -e. No other labels, lines, text, or axes appear.
Two identical coaxial charged rings centered at \(x = -d\) and \(x = +d\) along the \(x\)-axis.
Two identical thin nonconducting rings, each of radius \(R\) and carrying a uniform positive charge \(+Q\), are fixed parallel to each other with their centers on the \(x\)-axis at \(x = -d\) and \(x = +d\), where \(d < \dfrac{R}{\sqrt{2}}\). The planes of both rings are perpendicular to the \(x\)-axis, and the origin is located midway between them. An electron of charge \(-e\) is constrained to move along the \(x\)-axis under the influence of the electrostatic force from the two rings. Which of the following best describes the qualitative graph of the electric force \(F_x\) exerted on the electron as a function of position \(x\) along the entire axis from \(x = -\infty\) to \(x = +\infty\)?

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