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AP Physics C: E&M
10.4 Dielectrics
10.3 Capacitors
AdvancedMCQMathematicalConceptual15.7k
A circuit diagram consisting of a single rectangular loop oriented horizontally. The left vertical branch contains an ideal battery labeled \(V_0\), with a longer horizontal line on top representing the positive terminal and a shorter, thicker horizontal line below representing the negative terminal. The top and bottom horizontal segments are straight conducting wires. The right vertical branch contains a parallel-plate capacitor composed of two horizontal parallel lines of equal length separated by a gap of width \(d\). A shaded rectangular slab labeled \(\kappa\) is shown partially inserted between the two plates from the right, with a straight horizontal arrow pointing to the left toward the interior of the plates. No other labels, lines, text, or axes appear.
A parallel-plate capacitor connected to a battery as a dielectric slab is inserted.
A parallel-plate capacitor with plate separation \(d\) and vacuum capacitance \(C_0\) is connected to an ideal battery of potential difference \(V_0\), and the circuit is allowed to reach steady state. A slab of dielectric material with dielectric constant \(\kappa > 1\), designed to completely fill the region between the plates, is then fully inserted into the capacitor while the battery remains connected. Which of the following statements correctly describes the change in the magnitude of the charge stored on each plate and provides the correct physical justification?

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