---
title: "An uncharged, isolated spherical conducting shell has an inner radius \\(a\\) and an outer radius \\(b\\), centered at the origin \\(x = 0\\). A positive point charge \\(+q\\) is fixed inside the cavity on the \\(x\\)-axis at \\(x = d\\), where \\(0 < d < a\\). The electric potential is defined to be zero at infinity. Which of the following graphs best represents the electric potential \\(V\\) as a function of position \\(x\\) along the \\(x\\)-axis?"
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url: "https://nerd-notes.com/ubq/124640/"
date_modified: "2026-09-28T14:08:55+00:00"
---

# An uncharged, isolated spherical conducting shell has an inner radius \(a\) and an outer radius \(b\), centered at the origin \(x = 0\). A positive point charge \(+q\) is fixed inside the cavity on the \(x\)-axis at \(x = d\), where \(0 < d < a\). The electric potential is defined to be zero at infinity. Which of the following graphs best represents the electric potential \(V\) as a function of position \(x\) along the \(x\)-axis?

An uncharged, isolated spherical conducting shell has an inner radius \(a\) and an outer radius \(b\), centered at the origin \(x = 0\). A positive point charge \(+q\) is fixed inside the cavity on the \(x\)-axis at \(x = d\), where \(0 < d < a\). The electric potential is defined to be zero at infinity. Which of the following graphs best represents the electric potential \(V\) as a function of position \(x\) along the \(x\)-axis?

![Cross-sectional view in the xy-plane of a thick spherical shell centered at the origin labeled O. The inner boundary is a circle of radius a and the outer boundary is a concentric circle of radius b. The solid region between the circles represents the conducting shell and is filled with light gray shading. A horizontal coordinate axis labeled x passes through the center O. Along the positive x-axis inside the inner circle, a small solid black dot is located at position d and labeled +q. Dimension arrows indicate inner radius a from the origin to the inner circle and outer radius b from the origin to the outer circle. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1790604534-unjdAr.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/124640/*