---
title: "A region of space contains an electrostatic field represented by four concentric circular equipotential curves centered at the origin. Adjacent curves differ by a constant potential difference of \\(\\Delta V = 10\\text{ V}\\), with the potential decreasing outward from \\(40\\text{ V}\\) to \\(10\\text{ V}\\). Three points, labeled \\(P\\), \\(Q\\), and \\(R\\), are located in the regions between the curves. Which of the following correctly ranks the magnitude of the electric field \\(E\\) at points \\(P\\), \\(Q\\), and \\(R\\)?"
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url: "https://nerd-notes.com/ubq/121044/"
date_modified: "2026-08-23T04:57:34+00:00"
---

# A region of space contains an electrostatic field represented by four concentric circular equipotential curves centered at the origin. Adjacent curves differ by a constant potential difference of \(\Delta V = 10\text{ V}\), with the potential decreasing outward from \(40\text{ V}\) to \(10\text{ V}\). Three points, labeled \(P\), \(Q\), and \(R\), are located in the regions between the curves. Which of the following correctly ranks the magnitude of the electric field \(E\) at points \(P\), \(Q\), and \(R\)?

A region of space contains an electrostatic field represented by four concentric circular equipotential curves centered at the origin. Adjacent curves differ by a constant potential difference of \(\Delta V = 10\text{ V}\), with the potential decreasing outward from \(40\text{ V}\) to \(10\text{ V}\). Three points, labeled \(P\), \(Q\), and \(R\), are located in the regions between the curves. Which of the following correctly ranks the magnitude of the electric field \(E\) at points \(P\), \(Q\), and \(R\)?

![Four concentric dashed circles are centered at the middle of the frame. The innermost circle has a radius of 1.0 cm and is labeled \(40\text{ V}\). The second circle has a radius of 2.0 cm and is labeled \(30\text{ V}\). The third circle has a radius of 4.0 cm and is labeled \(20\text{ V}\). The fourth circle has a radius of 7.0 cm and is labeled \(10\text{ V}\). A solid dot labeled \(P\) lies at a radius of 1.5 cm along the positive horizontal axis. A solid dot labeled \(Q\) lies at a radius of 3.0 cm along the positive vertical axis. A solid dot labeled \(R\) lies at a radius of 5.5 cm along the negative horizontal axis. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787461053-V3KrAg.jpg)

- **A.** \(E_R > E_Q > E_P\)
- **B.** \(E_P > E_Q > E_R\)
- **C.** \(E_P = E_Q = E_R\)
- **D.** \(E_Q > E_P > E_R\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121044/*