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AP Physics 2
10.6 Capacitors
10.5 Electric Potential
10.3 Electric Fields
IntermediateMCQMathematicalProportional AnalysisConceptual21.8k
Schematic diagrams of the point charge system and the parallel-plate capacitor system.
Schematic diagrams of the point charge system and the parallel-plate capacitor system.
An isolated conducting sphere with net charge \(+Q\) produces an electric field of magnitude \(E_1\) and an electric potential \(V_1\) at a distance \(r\) from its center, relative to zero potential at infinity. Separately, an isolated parallel-plate capacitor with fixed plate charges \(+Q\) and \(-Q\) has plate separation \(d\), a uniform electric field of magnitude \(E_2\) between the plates, and a potential difference \(\Delta V_2\) across the plates. If the distance from the center of the sphere is increased from \(r\) to \(2r\), and the capacitor plate separation is increased from \(d\) to \(2d\), which of the following correctly describes the resulting changes in these four quantities?

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