---
title: "An uncharged, thick spherical conducting shell has an inner radius of \\(a = 0.50 \\text{ m}\\) and an outer radius of \\(b = 1.0 \\text{ m}\\). A point charge \\(q = +2.0 \\text{ nC}\\) is located inside the cavity at a distance \\(d = 0.20 \\text{ m}\\) from the geometric center of the shell. Assuming the electric potential is zero at infinity, what is the electric potential at the geometric center of the shell?"
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url: "https://nerd-notes.com/ubq/124529/"
date_modified: "2026-09-28T14:08:32+00:00"
---

# An uncharged, thick spherical conducting shell has an inner radius of \(a = 0.50 \text{ m}\) and an outer radius of \(b = 1.0 \text{ m}\). A point charge \(q = +2.0 \text{ nC}\) is located inside the cavity at a distance \(d = 0.20 \text{ m}\) from the geometric center of the shell. Assuming the electric potential is zero at infinity, what is the electric potential at the geometric center of the shell?

An uncharged, thick spherical conducting shell has an inner radius of \(a = 0.50 \text{ m}\) and an outer radius of \(b = 1.0 \text{ m}\). A point charge \(q = +2.0 \text{ nC}\) is located inside the cavity at a distance \(d = 0.20 \text{ m}\) from the geometric center of the shell. Assuming the electric potential is zero at infinity, what is the electric potential at the geometric center of the shell?

![A cross-sectional view of two concentric circles centered at a small dot labeled O. The inner circle has a radius labeled a, indicated by a straight dashed line from O to the inner circle at a 45-degree angle above the horizontal. The outer circle has a radius labeled b, indicated by a straight dashed line from O to the outer circle at a 135-degree angle above the horizontal. The region between the inner circle and the outer circle has light gray shading. Inside the inner white region, a small black dot representing a point charge labeled +q is located along the horizontal axis to the right of O at a distance labeled d, indicated by a double-headed horizontal arrow between O and the point charge. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1790604512-2n9Su3.jpg)

- **A.** \(72 \text{ V}\)
- **B.** \(90 \text{ V}\)
- **C.** \(108 \text{ V}\)
- **D.** \(144 \text{ V}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/124529/*