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AP Physics C: E&M
10.3 Capacitors
10.2 Redistribution of Charge between Conductors
10.1 Electrostatics with Conductors
9.1 Electric Potential Energy
Multi-Unit
AdvancedMCQMathematicalConceptual18.1k
Two shaded gray circles representing spheres are positioned side by side along a horizontal line against a white background. The left circle has a radius labeled \(R\) indicated by a horizontal arrow from its center to its right edge, and is labeled Sphere 1. The right circle is twice as wide as the left circle, with a radius labeled \(2R\) indicated by a horizontal arrow from its center to its right edge, and is labeled Sphere 2. A single thin horizontal line connects the top edge of Sphere 1 to the top edge of Sphere 2, representing a connecting wire. Above Sphere 1, text indicates initial charge \(Q_0\). Above Sphere 2, text indicates initial charge 0. No other labels, lines, text, or axes appear.
Two widely separated conducting spheres of radii \(R\) and \(2R\) connected by a thin wire.
Two widely separated conducting spheres, Sphere 1 of radius \(R\) and Sphere 2 of radius \(2R\), are located in a vacuum. Sphere 1 initially carries a net charge \(Q_0\) and has electrostatic potential energy \(U_0\), while Sphere 2 is initially uncharged. The two spheres are then connected by a thin conducting wire and the system is allowed to reach electrostatic equilibrium. Which of the following statements correctly describes what happens to the total electrostatic potential energy of the two-sphere system and provides the correct physical justification?

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