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AP Physics C: E&M
10.1 Electrostatics with Conductors
AdvancedMCQMathematicalConceptual24.5k
Cross section of an uncharged conducting sphere with an off-center spherical cavity containing point charge \(+Q\).
Cross section of an uncharged conducting sphere with an off-center spherical cavity containing point charge \(+Q\).
A solid, uncharged conducting sphere of outer radius \(R_2\) is centered at the origin \(O\) and contains an off-center spherical cavity of radius \(R_1\) whose center is displaced by a distance \(d\) along the \(x\)-axis from \(O\), where \(d + R_1 < R_2\). A point charge \(+Q\) is fixed at the center of the cavity. Assuming the electric potential is zero at infinity, which of the following is the correct expression for the electric potential \(V\) at a point inside the cavity at a distance \(r_1\) from the charge, where \(r_1 < R_1\)?

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