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AP Physics 2
10.5 Electric Potential
10.4 Electric Potential Energy
AdvancedMCQMathematicalConceptual22.1k
A cross-sectional view showing two concentric circular rings representing spherical shells centered at the origin. The inner ring has radius R and is labeled +Q. The outer ring has radius 2R and is labeled +2Q. A central horizontal dashed axis line extends to the right from the center. A point labeled 'r = 0' sits at the center. A filled circle representing a point charge +q is located at r = 1/2 R on the horizontal line, labeled 'Initial position'. A second filled circle representing the point charge +q is located at r = 3R on the horizontal line, labeled 'Final position'. Tick marks along the axis indicate distances R, 2R, and 3R from the center. No other labels, lines, text, or axes appear.
Cross-sectional view of the concentric charged shells and the initial and final positions of point charge \(+q\).
Two thin, concentric, conducting spherical shells of radii \(R\) and \(2R\) carry total charges \(+Q\) and \(+2Q\), respectively. A point charge \(+q\) is moved from an initial position at distance \(r = \dfrac{1}{2}R\) from the center to a final position at distance \(r = 3R\) from the center. Which of the following expressions represents the change in electric potential energy \(\Delta U = U_f - U_i\) of the system consisting of the shells and the point charge?

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