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AP Physics C: E&M
8.6 Gauss’s Law
8.5 Electric Flux
IntermediateMCQConceptual22.6k
A dashed circle representing a cross-section of a spherical surface. Inside the circle, centered on the midpoint, are two small filled circles separated horizontally by a distance labeled \(d\): the left circle is labeled \(-q\) and the right circle is labeled \(+q\). A solid straight line segment extends from the midpoint between the two charges toward the upper-right edge of the dashed circle, labeled with radius \(R\). No other labels, lines, text, or axes appear.
An electric dipole centered inside a spherical Gaussian surface.
An electric dipole consisting of two point charges, \(+q\) and \(-q\), separated by a distance \(d\) is located at the center of an imaginary spherical Gaussian surface of radius \(R\), where \(R > d\). A student observes that while Gauss's law is mathematically valid for this surface, it cannot be directly used to calculate the electric field magnitude at an arbitrary point on the sphere. Which of the following statements best explains why Gauss's law is valid in this scenario but cannot be used to determine the electric field magnitude?

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