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AP Physics C: E&M
9.2 Electric Potential
9.1 Electric Potential Energy
AdvancedMCQMathematical17.7k
A two-dimensional cross-sectional diagram showing two concentric dashed and solid circles representing a spherical shell. The inner circle is solid with radius labeled R, extending from the center to the edge of the inner circle with a single-headed arrow. The outer circle is dashed with a radius arrow extending from the center to the outer circle, labeled 1.5R. Small positive plus signs (+) are distributed uniformly around the perimeter of the inner solid circle. Four small outward-pointing arrows are spaced evenly around the outer circle, indicating radial expansion. The center point is marked with a small black dot. No other labels, lines, text, or axes appear.
Cross section of a thin spherical shell expanding from radius R to 1.5R.
A thin, flexible, non-conducting spherical shell of initial radius \(R\) carries a total charge \(Q\) distributed uniformly over its surface. An external mechanism allows the shell to expand radially to a final radius of \(\dfrac{3}{2}R\). Which of the following expressions represents the total work done by the electrostatic forces on the shell during this expansion?

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