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AP Physics 2
10.5 Electric Potential
10.3 Electric Fields
IntermediateMCQMathematicalConceptual23.7k
A cross-sectional view of a thin nonconducting spherical shell centered at origin O. The shell is depicted as a dashed circle of radius R with plus signs (+Q) distributed evenly along its circumference. A horizontal dashed radial line extends from center O to the right past the shell. Point A is marked on this line at distance 0.5R from O inside the shell. Point B is marked on this line at distance 2R from O outside the shell. Label R indicates the radius of the shell wall, label 0.5R indicates the distance to Point A, and label 2R indicates the distance to Point B. No other labels, lines, text, or axes appear.
Spherical shell of radius R with points A and B.
A thin, nonconducting spherical shell of radius \(R\) carries a total positive charge \(+Q\) distributed uniformly over its surface. Point \(A\) is located inside the shell at a distance \(r_A = 0.5R\) from the center, and Point \(B\) is located outside the shell at a distance \(r_B = 2R\) from the center. Which of the following correctly compares the magnitude of the electric field \(E\) and the electric potential \(V\) at Point \(A\) to those at Point \(B\)?

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