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title: "Three thin, concentric, conducting spherical shells have radii \\(R\\), \\(2R\\), and \\(3R\\), and carry net charges of \\(+2Q\\), \\(-3Q\\), and \\(+5Q\\), respectively. Three locations in space are designated as follows: point \\(P_1\\) is at distance \\(r = 1.5R\\), point \\(P_2\\) is at distance \\(r = 2.5R\\), and point \\(P_3\\) is at distance \\(r = 4.0R\\) from the common center. Which of the following correctly ranks the magnitudes of the electric fields, \\(E_1\\), \\(E_2\\), and \\(E_3\\), at points \\(P_1\\), \\(P_2\\), and \\(P_3\\), respectively?"
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url: "https://nerd-notes.com/ubq/117988/"
date_modified: "2026-08-11T09:49:34+00:00"
---

# Three thin, concentric, conducting spherical shells have radii \(R\), \(2R\), and \(3R\), and carry net charges of \(+2Q\), \(-3Q\), and \(+5Q\), respectively. Three locations in space are designated as follows: point \(P_1\) is at distance \(r = 1.5R\), point \(P_2\) is at distance \(r = 2.5R\), and point \(P_3\) is at distance \(r = 4.0R\) from the common center. Which of the following correctly ranks the magnitudes of the electric fields, \(E_1\), \(E_2\), and \(E_3\), at points \(P_1\), \(P_2\), and \(P_3\), respectively?

Three thin, concentric, conducting spherical shells have radii \(R\), \(2R\), and \(3R\), and carry net charges of \(+2Q\), \(-3Q\), and \(+5Q\), respectively. Three locations in space are designated as follows: point \(P_1\) is at distance \(r = 1.5R\), point \(P_2\) is at distance \(r = 2.5R\), and point \(P_3\) is at distance \(r = 4.0R\) from the common center. Which of the following correctly ranks the magnitudes of the electric fields, \(E_1\), \(E_2\), and \(E_3\), at points \(P_1\), \(P_2\), and \(P_3\), respectively?

![Three concentric thin circular rings representing spherical shells centered on a black dot labeled center. The innermost circle has radius R and is labeled +2Q. The middle circle has radius 2R and is labeled -3Q. The outermost circle has radius 3R and is labeled +5Q. A horizontal radial line extends from the center to the right. Along this line, point P_1 is marked at radius 1.5R between the first and second circles. Point P_2 is marked at radius 2.5R between the second and third circles. Point P_3 is marked at radius 4.0R outside the third circle. No other lines, labels, or text appear.](https://nerd-notes.com/wp-content/uploads/ubq-diagrams/ubq-frq-generatedstem-fig-1-1786441773-GndHs5.jpg)

- **A.** \(E_1 > E_3 > E_2\)
- **B.** \(E_3 > E_1 > E_2\)
- **C.** \(E_1 > E_2 > E_3\)
- **D.** \(E_3 > E_2 > E_1\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117988/*