---
title: "A solid conducting sphere of radius \\(a\\) carries a net positive charge \\(+Q\\). It is concentric with an uncharged conducting spherical shell with inner radius \\(b\\) and outer radius \\(c\\), where \\(a < b < c\\). The electric potential is defined to be zero at infinity (\\(V(\\infty) = 0\\)). Which of the following graphs best represents the electric potential \\(V\\) as a function of radial distance \\(r\\) from the common center?"
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url: "https://nerd-notes.com/ubq/121197/"
date_modified: "2026-08-23T04:58:44+00:00"
---

# A solid conducting sphere of radius \(a\) carries a net positive charge \(+Q\). It is concentric with an uncharged conducting spherical shell with inner radius \(b\) and outer radius \(c\), where \(a < b < c\). The electric potential is defined to be zero at infinity (\(V(\infty) = 0\)). Which of the following graphs best represents the electric potential \(V\) as a function of radial distance \(r\) from the common center?

A solid conducting sphere of radius \(a\) carries a net positive charge \(+Q\). It is concentric with an uncharged conducting spherical shell with inner radius \(b\) and outer radius \(c\), where \(a < b < c\). The electric potential is defined to be zero at infinity (\(V(\infty) = 0\)). Which of the following graphs best represents the electric potential \(V\) as a function of radial distance \(r\) from the common center?

![A cross-sectional diagram showing concentric circular boundaries centered on a common origin. At the center is a solid gray-filled circle of radius \(a\) with label \(+Q\) at its center. Surrounding it is an empty circular region extending to radius \(b\). Surrounding that is a shaded annular ring extending from radius \(b\) to outer radius \(c\), labeled Uncharged shell. Three labeled radius arrows point from the center origin outward: one arrow labeled \(a\) ending at the edge of the inner solid circle, a second arrow labeled \(b\) ending at the inner surface of the shell, and a third arrow labeled \(c\) ending at the outer surface of the shell. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787461123-I98khd.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/121197/*