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AP Physics C: E&M
10.3 Capacitors
AdvancedMCQMathematicalConceptual19.7k
A circuit schematic shows three identical capacitors labeled \(C_A\), \(C_B\), and \(C_C\), each of capacitance \(C\), connected to a central junction node labeled \(P\). From node \(P\), a horizontal branch extends to the left through capacitor \(C_A\) to terminal \(A\), which connects to the positive terminal of a battery labeled \(V_0\); the negative terminal connects to ground. A vertical branch extends straight downward from node \(P\) through capacitor \(C_B\) to terminal \(B\), which connects directly to a ground symbol. A horizontal branch extends to the right from node \(P\) through capacitor \(C_C\) to terminal \(C\). Terminal \(C\) connects to an open single-pole switch labeled \(S\), whose opposite contact leads downward to a ground symbol. No other labels, lines, text, or components appear.
Three identical capacitors in a wye network connected to a voltage source and switch.
Three identical capacitors, each of capacitance \(C\), are connected in a wye configuration meeting at an isolated central node \(P\).

Terminal \(A\) is connected to an ideal battery maintaining a constant electric potential \(V_0\), terminal \(B\) is connected to ground (\(0\text{ V}\)), and terminal \(C\) is initially disconnected, with node \(P\) carrying zero net charge.

A switch is then closed, connecting terminal \(C\) directly to ground.

Which row in the table correctly identifies how the electric potential at node \(P\), the magnitude of the charge on the capacitor connected to terminal \(A\), and the total electrostatic energy stored in the network change after the switch is closed?

Electric Potential at Node \(P\)Charge on Capacitor \(A\)Total Stored Energy
(A)DecreasesDecreasesDecreases
(B)DecreasesIncreasesIncreases
(C)DecreasesIncreasesDecreases
(D)IncreasesDecreasesIncreases

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