---
title: "Two separate regions of space contain uniform electric fields. In Region 1, a series of parallel planar equipotential surfaces are separated by a uniform distance \\(2d\\), with a potential difference of \\(\\Delta V\\) between adjacent surfaces. In Region 2, a series of parallel planar equipotential surfaces are separated by a uniform distance \\(d\\), with a potential difference of \\(3\\Delta V\\) between adjacent surfaces. What is the ratio \\(E_2 / E_1\\) of the magnitude of the electric field in Region 2 to that in Region 1?"
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url: "https://nerd-notes.com/ubq/124548/"
date_modified: "2026-09-28T14:08:36+00:00"
---

# Two separate regions of space contain uniform electric fields. In Region 1, a series of parallel planar equipotential surfaces are separated by a uniform distance \(2d\), with a potential difference of \(\Delta V\) between adjacent surfaces. In Region 2, a series of parallel planar equipotential surfaces are separated by a uniform distance \(d\), with a potential difference of \(3\Delta V\) between adjacent surfaces. What is the ratio \(E_2 / E_1\) of the magnitude of the electric field in Region 2 to that in Region 1?

Two separate regions of space contain uniform electric fields. In Region 1, a series of parallel planar equipotential surfaces are separated by a uniform distance \(2d\), with a potential difference of \(\Delta V\) between adjacent surfaces. In Region 2, a series of parallel planar equipotential surfaces are separated by a uniform distance \(d\), with a potential difference of \(3\Delta V\) between adjacent surfaces. What is the ratio \(E_2 / E_1\) of the magnitude of the electric field in Region 2 to that in Region 1?

![Two side-by-side rectangular panels labeled Region 1 on the left and Region 2 on the right. In the left panel, three equally spaced vertical dashed lines represent planar surfaces viewed edge-on. A horizontal double-headed arrow between the first two lines is labeled \(2d\). Labels above adjacent lines indicate a potential change of \(\Delta V\). In the right panel, three equally spaced vertical dashed lines have half the spacing of those in the left panel. A horizontal double-headed arrow between the first two lines is labeled \(d\). Labels above adjacent lines indicate a potential change of \(3\Delta V\). No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1790604515-MpUxnh.jpg)

- **A.** \( \dfrac{3}{2} \)
- **B.** \( 3 \)
- **C.** \( 6 \)
- **D.** \( 12 \)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/124548/*