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AP Physics 2
10.5 Electric Potential
10.4 Electric Potential Energy
10.3 Electric Fields
AdvancedMCQMathematicalProportional AnalysisConceptual15.7k
A schematic diagram showing two concentric circles representing a spherical balloon before and after expansion. The inner circle is solid with a radius arrow labeled R_0 extending from the center to its perimeter. At the exact center of both circles is a small solid black dot labeled +Q. On the top perimeter of the inner circle is a second small solid black dot labeled +q. A straight arrow labeled E_0 points radially outward from the dot +q. The outer circle is drawn with a dashed line and has a radius arrow labeled 3R_0 extending from the center to its upper-right perimeter. No other labels, lines, text, or axes appear.
Balloon expanding from radius R_0 to 3R_0.
A flexible spherical balloon has a small point charge \( +q \) attached to its outer surface and a point charge \( +Q \) fixed at its center. The magnitude of the electric field at the surface of the balloon when its radius is \( R_0 \) is \( E_0 \). The balloon is then inflated radially outward until its radius reaches \( 3R_0 \). Which of the following expressions represents the work done by the electrostatic force on the surface charge \( +q \) during this expansion?

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