---
title: "A solid conducting sphere of radius \\(r_1 = 0.10\\text{ m}\\) is concentric with a spherical conducting shell of inner radius \\(r_2 = 0.20\\text{ m}\\) and outer radius \\(r_3 = 0.30\\text{ m}\\). The electric potential \\(V(r)\\) as a function of radial distance \\(r\\) from the common center is plotted in the graph, with the reference potential \\(V = 0\\) at infinity. What is the net electric charge of the spherical conducting shell?"
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date_modified: "2026-09-28T14:09:00+00:00"
---

# A solid conducting sphere of radius \(r_1 = 0.10\text{ m}\) is concentric with a spherical conducting shell of inner radius \(r_2 = 0.20\text{ m}\) and outer radius \(r_3 = 0.30\text{ m}\). The electric potential \(V(r)\) as a function of radial distance \(r\) from the common center is plotted in the graph, with the reference potential \(V = 0\) at infinity. What is the net electric charge of the spherical conducting shell?

A solid conducting sphere of radius \(r_1 = 0.10\text{ m}\) is concentric with a spherical conducting shell of inner radius \(r_2 = 0.20\text{ m}\) and outer radius \(r_3 = 0.30\text{ m}\). The electric potential \(V(r)\) as a function of radial distance \(r\) from the common center is plotted in the graph, with the reference potential \(V = 0\) at infinity. What is the net electric charge of the spherical conducting shell?

![A Cartesian graph with a horizontal axis labeled r (m) from 0 to 0.60 with major tick marks and numerical labels at 0, 0.10, 0.20, 0.30, 0.40, 0.50, and 0.60. The vertical axis is labeled V (V) from 0 to 210 with major tick marks and numerical labels at 0, 30, 60, 90, 120, 150, 180, and 210. A light gray grid is aligned with every 0.05 m horizontally and every 30 V vertically. A single continuous solid curve represents V(r): it begins as a horizontal segment at V = 180 from r = 0 to r = 0.10; curves downward smoothly as a concave-up decreasing curve from (0.10, 180), passing precisely through (0.15, 120), to (0.20, 90); continues as a flat horizontal segment at V = 90 from r = 0.20 to r = 0.30; and curves downward smoothly as a concave-up decreasing curve from (0.30, 90), passing precisely through (0.45, 60) and ending at (0.60, 45). No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1790604540-0v2CeZ.jpg)

- **A.** \(+1.0\text{ nC}\)
- **B.** \(+2.0\text{ nC}\)
- **C.** \(+3.0\text{ nC}\)
- **D.** \(+5.0\text{ nC}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/124666/*