---
title: "The component of an electric field along the \\(x\\)-axis, \\(E_x\\), varies with position \\(x\\) as shown in the graph.  What is the electric potential difference \\(\\Delta V = V(5\\text{ m}) – V(1\\text{ m})\\) between the positions \\(x = 1\\text{ m}\\) and \\(x = 5\\text{ m}\\)?"
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url: "https://nerd-notes.com/ubq/121109/"
date_modified: "2026-08-23T04:58:03+00:00"
---

# The component of an electric field along the \(x\)-axis, \(E_x\), varies with position \(x\) as shown in the graph.

What is the electric potential difference \(\Delta V = V(5\text{ m}) – V(1\text{ m})\) between the positions \(x = 1\text{ m}\) and \(x = 5\text{ m}\)?

The component of an electric field along the \(x\)-axis, \(E_x\), varies with position \(x\) as shown in the graph.

What is the electric potential difference \(\Delta V = V(5\text{ m}) - V(1\text{ m})\) between the positions \(x = 1\text{ m}\) and \(x = 5\text{ m}\)?

![A 2D Cartesian graph with a horizontal axis labeled x (m) from 0 to 6 with integer tick marks at 0, 1, 2, 3, 4, 5, 6 and a vertical axis labeled E_x (V/m) from -30 to 40 with major tick marks at -30, -20, -10, 0, 10, 20, 30, 40. Light gray gridlines extend from each integer tick mark on both axes. A single solid black line connects the following points in sequence: from (0, 30) horizontally to (2, 30), straight downward diagonally from (2, 30) to (3, 0), continuing diagonally from (3, 0) to (4, -20), and horizontally from (4, -20) to (6, -20). No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787461083-kRM2ve.jpg)

- **A.** \(-45\text{ V}\)
- **B.** \(-15\text{ V}\)
- **C.** \(+15\text{ V}\)
- **D.** \(+45\text{ V}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121109/*