---
title: "A region of space contains a uniform electric field of magnitude \\(E_0\\) directed in the positive \\(x\\)-direction. Point \\(A\\) is located at the origin \\((0,0)\\), Point \\(B\\) is located at \\((d,0)\\), and Point \\(C\\) is located at \\((0,d)\\), where \\(d > 0\\). What are the electric potential differences \\(\\Delta V_{AB} = V_B – V_A\\) and \\(\\Delta V_{AC} = V_C – V_A\\)?"
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url: "https://nerd-notes.com/ubq/118061/"
date_modified: "2026-08-04T08:04:56+00:00"
---

# A region of space contains a uniform electric field of magnitude \(E_0\) directed in the positive \(x\)-direction. Point \(A\) is located at the origin \((0,0)\), Point \(B\) is located at \((d,0)\), and Point \(C\) is located at \((0,d)\), where \(d > 0\). What are the electric potential differences \(\Delta V_{AB} = V_B – V_A\) and \(\Delta V_{AC} = V_C – V_A\)?

A region of space contains a uniform electric field of magnitude \(E_0\) directed in the positive \(x\)-direction. Point \(A\) is located at the origin \((0,0)\), Point \(B\) is located at \((d,0)\), and Point \(C\) is located at \((0,d)\), where \(d > 0\). What are the electric potential differences \(\Delta V_{AB} = V_B - V_A\) and \(\Delta V_{AC} = V_C - V_A\)?

![A rectangular coordinate system showing three points in a uniform electric field. Point A is located at the origin. Point B is located a distance d to the right of Point A along the horizontal axis. Point C is located a distance d directly above Point A along the vertical axis. Four equally spaced parallel arrows pointing horizontally to the right represent the uniform electric field labeled E_0. A horizontal dashed line segment connects Point A to Point B with length labeled d. A vertical dashed line segment connects Point A to Point C with length labeled d. No other labels, lines, or text appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785830696-Zx9axT.jpg)

- **A.** \(\Delta V_{AB} = +E_0 d\) and \(\Delta V_{AC} = +E_0 d\)
- **B.** \(\Delta V_{AB} = -E_0 d\) and \(\Delta V_{AC} = -E_0 d\)
- **C.** \(\Delta V_{AB} = -E_0 d\) and \(\Delta V_{AC} = 0\)
- **D.** \(\Delta V_{AB} = 0\) and \(\Delta V_{AC} = -E_0 d\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118061/*