---
title: "A region of space contains a uniform electric field, represented by four parallel equipotential lines perpendicular to the x-axis. The lines are separated by equal distances of \\(\\Delta x = 2.0 \\text{ cm}\\), with electric potentials labeled at each position as shown in the figure. What is the magnitude of the electric field in this region?"
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url: "https://nerd-notes.com/ubq/118044/"
date_modified: "2026-08-04T08:04:50+00:00"
---

# A region of space contains a uniform electric field, represented by four parallel equipotential lines perpendicular to the x-axis. The lines are separated by equal distances of \(\Delta x = 2.0 \text{ cm}\), with electric potentials labeled at each position as shown in the figure. What is the magnitude of the electric field in this region?

A region of space contains a uniform electric field, represented by four parallel equipotential lines perpendicular to the x-axis. The lines are separated by equal distances of \(\Delta x = 2.0 \text{ cm}\), with electric potentials labeled at each position as shown in the figure. What is the magnitude of the electric field in this region?

![A schematic plot in the xy-plane showing four vertical parallel lines representing equipotential surfaces. The horizontal x-axis at the bottom has tick marks at x = 0 cm, x = 2.0 cm, x = 4.0 cm, and x = 6.0 cm. A vertical line extends upward from each tick mark. Above the top of each vertical line, the electric potential is labeled as follows: V = 10 V at x = 0 cm, V = 20 V at x = 2.0 cm, V = 30 V at x = 4.0 cm, and V = 40 V at x = 6.0 cm. A double-headed horizontal arrow below the x-axis between x = 0 cm and x = 2.0 cm is labeled \Delta x = 2.0 \text{ cm}. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785830690-Z07v73.jpg)

- **A.** \(500 \text{ V/m}\)
- **B.** \(1000 \text{ V/m}\)
- **C.** \(2000 \text{ V/m}\)
- **D.** \(5000 \text{ V/m}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118044/*