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AP Physics 2
10.6 Capacitors
IntermediateMCQMathematicalProportional AnalysisConceptual14.5k
Schematic of Capacitor 1 and Capacitor 2.
Schematic of Capacitor 1 and Capacitor 2.
Two parallel-plate capacitors, labeled Capacitor 1 and Capacitor 2, are constructed with different geometries and materials. Capacitor 1 has plate area \(A\), plate separation \(d\), and the space between its plates is completely filled with an insulating dielectric material of dielectric constant \(\kappa = 3\). Capacitor 2 has plate area \(2A\), plate separation \(3d\), and has vacuum between its plates (\(\kappa = 1\)). Each capacitor is connected independently across the same potential difference \(\Delta V\). What is the ratio \(\dfrac{Q_1}{Q_2}\) of the magnitude of charge stored on Capacitor 1 to that stored on Capacitor 2?

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