---
title: "An isolated solid conducting sphere of radius \\(R = 0.20 \\text{ m}\\) carries a net positive electric charge \\(Q\\). The graph shows the electric field magnitude \\(E\\) as a function of distance \\(r\\) from the center of the sphere. Based on the graph, what is the total charge \\(Q\\) on the sphere?"
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url: "https://nerd-notes.com/ubq/117434/"
date_modified: "2026-08-04T06:52:10+00:00"
---

# An isolated solid conducting sphere of radius \(R = 0.20 \text{ m}\) carries a net positive electric charge \(Q\). The graph shows the electric field magnitude \(E\) as a function of distance \(r\) from the center of the sphere. Based on the graph, what is the total charge \(Q\) on the sphere?

An isolated solid conducting sphere of radius \(R = 0.20 \text{ m}\) carries a net positive electric charge \(Q\). The graph shows the electric field magnitude \(E\) as a function of distance \(r\) from the center of the sphere. Based on the graph, what is the total charge \(Q\) on the sphere?

![A line graph of electric field magnitude E in units of 10^3 N/C versus distance r in meters from the center of a charged conducting sphere. The vertical axis represents E (10^3 N/C) with major tick marks at 0.0, 2.0, 4.0, 6.0, 8.0, 10.0. The horizontal axis represents r (m) with major tick marks at 0.0, 0.1, 0.2, 0.3, 0.4, 0.5. From r = 0.0 m to r = 0.2 m, a solid line lies along the horizontal axis at E = 0.0. At r = 0.2 m, a vertical dashed line connects E = 0.0 to a point at (0.2, 9.0). For r >= 0.2 m, a smooth curve decreases inversely with r squared, passing through (0.2, 9.0), (0.3, 4.0), and (0.4, 2.25). No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785826330-khe0iH.jpg)

- **A.** \(1.0 \times 10^{-8} \text{ C}\)
- **B.** \(2.0 \times 10^{-8} \text{ C}\)
- **C.** \(4.0 \times 10^{-8} \text{ C}\)
- **D.** \(2.0 \times 10^{-7} \text{ C}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117434/*