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AP Physics C: E&M
10.4 Dielectrics
10.3 Capacitors
IntermediateMCQMathematicalProportional Analysis19.6k
Four identical parallel-plate capacitors, each with capacitance \(C_0\) and air between plates separated by distance \(d_0\), are initially connected to identical batteries that maintain a constant potential difference \(V_0\).

Each capacitor then undergoes a different sequence of modifications, as described in the table:

CapacitorModification Procedure
1The battery is disconnected, and then the plate separation is increased to \(2d_0\).
2A dielectric slab of constant \(\kappa = 3\) is fully inserted while connected to the battery, and then the battery is disconnected.
3The battery is disconnected, and then a dielectric slab of constant \(\kappa = 3\) is fully inserted.
4The plate separation is increased to \(2d_0\) while connected to the battery, and then the battery is disconnected.

Which of the following correctly ranks the final electrostatic energy \(U\) stored in each capacitor from greatest to least?

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