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AP Physics C: E&M
10.1 Electrostatics with Conductors
IntermediateMCQConceptual13k
A horizontal dashed line represents the central line of symmetry. On the right, a solid gray circle represents an uncharged conducting sphere of radius R, with its center marked as point C. On the left, a small black circle representing a point charge +q is positioned on the central axis at a distance d from point C. An arrow below the line indicates the distance d between +q and point C, with d > R. No other labels, lines, text, or axes appear.
A point charge +q positioned near an uncharged conducting sphere.
An uncharged, solid conducting sphere of radius \(R\) is placed near a positive point charge \(+q\). The point charge is fixed at a distance \(d\) (where \(d > R\)) from the center of the sphere, as shown. Which of the following correctly pairs the magnitude of the total electric field at the center of the sphere, \(E_{\text{total}}\), and the magnitude of the electric field at the center of the sphere created solely by the induced charges on the surface, \(E_{\text{induced}}\)?

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