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AP Physics C: E&M
9.2 Electric Potential
AdvancedMCQConceptual23.5k
A 2D cross-section diagram of a large circle of radius R representing a solid conductor. Inside the large circle, offset to the upper-right of the center, is a smaller circle of radius r_0 representing a spherical cavity. A point labeled +q is shown inside the cavity, offset from the center of the cavity. The region between the small circle and large circle is shaded gray to indicate conducting material. The center of the large circle is marked with a point labeled O. A dashed line indicates the outer surface of radius R. No other labels, lines, text, or axes appear.
Cross section of an uncharged conducting sphere with an off-center cavity.
An uncharged, solid conducting sphere of radius \(R\) contains an off-center spherical cavity of radius \(r_0\). A point charge \(+q\) is fixed inside the cavity at a location that is not at the center of the cavity. The system is in electrostatic equilibrium. Which of the following correctly pairs the potential difference \(\Delta V\) between any two points on the outer surface of the sphere with the symmetry of the electric field \(\vec{E}\) in the region outside the sphere (\(r > R\))?

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