---
title: "A point charge of magnitude \\(q\\) is located at the center of a closed, cubical Gaussian surface with side length \\(L\\). The side length of the cube is then doubled to \\(2L\\) while keeping the point charge centered inside. What is the ratio of the new total electric flux through the cube to the original total electric flux through the cube?"
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url: "https://nerd-notes.com/ubq/117898/"
date_modified: "2026-08-04T08:02:28+00:00"
---

# A point charge of magnitude \(q\) is located at the center of a closed, cubical Gaussian surface with side length \(L\). The side length of the cube is then doubled to \(2L\) while keeping the point charge centered inside. What is the ratio of the new total electric flux through the cube to the original total electric flux through the cube?

A point charge of magnitude \(q\) is located at the center of a closed, cubical Gaussian surface with side length \(L\). The side length of the cube is then doubled to \(2L\) while keeping the point charge centered inside. What is the ratio of the new total electric flux through the cube to the original total electric flux through the cube?

![A 3D perspective drawing showing two concentric cubical surfaces centered on a small point charge labeled +q. The inner cubical surface is drawn with dashed lines and labeled with side length L. The outer cubical surface is drawn with dashed lines and labeled with side length 2L. Four radial arrows start from the point charge +q and extend outward, passing through both the inner and outer cubic surfaces. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785830547-TFjm54.jpg)

- **A.** \(\dfrac{1}{4}\)
- **B.** \(\dfrac{1}{2}\)
- **C.** \(1\)
- **D.** \(4\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117898/*