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AP Physics C: E&M
10.1 Electrostatics with Conductors
AdvancedMCQGraphicalConceptual20.3k
Cross-sectional view in the xy-plane of a thick spherical shell centered at the origin labeled O. The inner boundary is a circle of radius a and the outer boundary is a concentric circle of radius b. The solid region between the circles represents the conducting shell and is filled with light gray shading. A horizontal coordinate axis labeled x passes through the center O. Along the positive x-axis inside the inner circle, a small solid black dot is located at position d and labeled +q. Dimension arrows indicate inner radius a from the origin to the inner circle and outer radius b from the origin to the outer circle. No other labels, lines, text, or axes appear.
Cross section of the spherical conducting shell and displaced point charge.
An uncharged, isolated spherical conducting shell has an inner radius \(a\) and an outer radius \(b\), centered at the origin \(x = 0\). A positive point charge \(+q\) is fixed inside the cavity on the \(x\)-axis at \(x = d\), where \(0 < d < a\). The electric potential is defined to be zero at infinity. Which of the following graphs best represents the electric potential \(V\) as a function of position \(x\) along the \(x\)-axis?

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