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AP Physics C: E&M
9.2 Electric Potential
AdvancedMCQMathematical19.6k
A non-uniformly charged disk in the xy-plane and a point on its central axis.
A non-uniformly charged disk in the xy-plane and a point on its central axis.
A thin, flat circular disk of radius \(R\) lies in the \(xy\)-plane, centered at the origin. The disk carries a non-uniform surface charge density given by \(\sigma(r) = \sigma_0 \left(\dfrac{r}{R}\right)^2\), where \(r\) is the distance from the origin and \(\sigma_0\) is a positive constant. What is the ratio of the electric potential \(V(R)\) at a point on the central axis at \(z = R\) to the electric potential \(V(0)\) at the center of the disk?

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