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AP Physics C: E&M
10.4 Dielectrics
10.3 Capacitors
AdvancedMCQMathematicalProportional AnalysisConceptual13.3k
Parallel-plate capacitor filled with dielectric material.
Parallel-plate capacitor filled with dielectric material.
A parallel-plate capacitor with fixed plate area \(A\) and adjustable plate separation \(d\) is filled with an insulating material of dielectric constant \(\kappa\) and dielectric breakdown strength \(E_{\text{max}}\). The breakdown strength represents the maximum electric field magnitude the dielectric can withstand before conducting. For any chosen separation \(d\), the capacitor is charged to the maximum potential difference \(V_{\text{max}}\) it can sustain without exceeding \(E_{\text{max}}\). In the limit as the plate separation approaches zero (\(d \to 0\)), which of the following correctly describes the behavior of the maximum stored charge \(Q_{\text{max}}\) and the maximum stored electrostatic potential energy \(U_{\text{max}}\)?

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