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AP Physics C: E&M
10.1 Electrostatics with Conductors
IntermediateMCQMathematical24.8k
A cross-sectional view of two concentric circles centered at a small dot labeled O. The inner circle has a radius labeled a, indicated by a straight dashed line from O to the inner circle at a 45-degree angle above the horizontal. The outer circle has a radius labeled b, indicated by a straight dashed line from O to the outer circle at a 135-degree angle above the horizontal. The region between the inner circle and the outer circle has light gray shading. Inside the inner white region, a small black dot representing a point charge labeled +q is located along the horizontal axis to the right of O at a distance labeled d, indicated by a double-headed horizontal arrow between O and the point charge. No other labels, lines, text, or axes appear.
Cross section of a thick spherical conducting shell with an off-center point charge in its cavity.
An uncharged, thick spherical conducting shell has an inner radius of \(a = 0.50 \text{ m}\) and an outer radius of \(b = 1.0 \text{ m}\). A point charge \(q = +2.0 \text{ nC}\) is located inside the cavity at a distance \(d = 0.20 \text{ m}\) from the geometric center of the shell. Assuming the electric potential is zero at infinity, what is the electric potential at the geometric center of the shell?

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