---
title: "The electric potential \\(V(r)\\) as a function of distance \\(r\\) from the center of an isolated, charged solid conducting sphere of radius \\(R\\) is shown in the graph. Which of the following graphs best represents the electric field magnitude \\(E(r)\\) as a function of \\(r\\) for this sphere?"
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url: "https://nerd-notes.com/ubq/118162/"
date_modified: "2026-08-04T08:05:33+00:00"
---

# The electric potential \(V(r)\) as a function of distance \(r\) from the center of an isolated, charged solid conducting sphere of radius \(R\) is shown in the graph. Which of the following graphs best represents the electric field magnitude \(E(r)\) as a function of \(r\) for this sphere?

The electric potential \(V(r)\) as a function of distance \(r\) from the center of an isolated, charged solid conducting sphere of radius \(R\) is shown in the graph. Which of the following graphs best represents the electric field magnitude \(E(r)\) as a function of \(r\) for this sphere?

![A 2D line plot showing electric potential V on the vertical axis versus radial distance r on the horizontal axis. The vertical axis is labeled V, with a tick mark labeled V_0 at a positive value. The horizontal axis is labeled r, with a tick mark labeled R. A vertical dashed line extends upward from r = R. From r = 0 to r = R, a thick solid horizontal line sits at V = V_0. At r = R, this line connects continuously to a smooth curve that decays toward the horizontal axis as r increases beyond R. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785830732-gwlail.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/118162/*