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title: "Three thin, concentric, conducting spherical shells of radii \\(R\\), \\(2R\\), and \\(3R\\) carry net charges of \\(+Q\\), \\(-2Q\\), and \\(+Q\\), respectively. Electric potential is defined to be zero at infinity (\\(V(\\infty) = 0\\)). Which of the following graphs best represents the electric potential \\(V(r)\\) as a function of radial distance \\(r\\) from the common center of the shells?"
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url: "https://nerd-notes.com/ubq/118352/"
date_modified: "2026-08-04T08:09:40+00:00"
---

# Three thin, concentric, conducting spherical shells of radii \(R\), \(2R\), and \(3R\) carry net charges of \(+Q\), \(-2Q\), and \(+Q\), respectively. Electric potential is defined to be zero at infinity (\(V(\infty) = 0\)). Which of the following graphs best represents the electric potential \(V(r)\) as a function of radial distance \(r\) from the common center of the shells?

Three thin, concentric, conducting spherical shells of radii \(R\), \(2R\), and \(3R\) carry net charges of \(+Q\), \(-2Q\), and \(+Q\), respectively. Electric potential is defined to be zero at infinity (\(V(\infty) = 0\)). Which of the following graphs best represents the electric potential \(V(r)\) as a function of radial distance \(r\) from the common center of the shells?

![Cross-section of three concentric thin circular lines representing spherical shells centered at the origin. The innermost shell has radius R and net charge +Q. The middle shell has radius 2R and net charge -2Q. The outermost shell has radius 3R and net charge +Q. Dashed radial lines extend from the origin to label the radii R, 2R, and 3R along the horizontal axis. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785830978-G76JB3.jpg)

- **A.** Graph A
- **B.** Graph B
- **C.** Graph C
- **D.** Graph D

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118352/*