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AP Physics C: E&M
9.2 Electric Potential
BeginnerMCQMathematical19.6k
Comparison of a uniformly charged sphere and a point charge.
Comparison of a uniformly charged sphere and a point charge.
A solid insulating sphere of radius \(R\) carries a net charge \(+Q\) distributed uniformly throughout its volume. A separate point charge \(+Q\) is isolated in space. Let \(\Delta V_{\text{sphere}}\) be the magnitude of the electric potential difference between radial distances \(r = R\) and \(r = 2R\) from the center of the sphere, and let \(\Delta V_{\text{point}}\) be the magnitude of the electric potential difference between distances \(r = R\) and \(r = 2R\) from the point charge. What is the ratio \(\dfrac{\Delta V_{\text{sphere}}}{\Delta V_{\text{point}}}\)?

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