---
title: "A point charge of magnitude \\(+q\\) is fixed at one vertex of a nonconducting cube of edge length \\(L\\). What is the total electric flux through one of the three faces of the cube that does not touch the vertex containing the charge?"
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url: "https://nerd-notes.com/ubq/117945/"
date_modified: "2026-08-04T08:02:39+00:00"
---

# A point charge of magnitude \(+q\) is fixed at one vertex of a nonconducting cube of edge length \(L\). What is the total electric flux through one of the three faces of the cube that does not touch the vertex containing the charge?

A point charge of magnitude \(+q\) is fixed at one vertex of a nonconducting cube of edge length \(L\). What is the total electric flux through one of the three faces of the cube that does not touch the vertex containing the charge?

![A perspective three-dimensional wireframe diagram of a cube with edge length L. A small solid black circle labeled +q is positioned at the top-left-front vertex of the cube. Three faces of the cube intersect at this vertex: the top face, the left face, and the front face. The right face of the cube, which is opposite the left face and does not intersect the vertex containing charge +q, is shaded in light gray with fine diagonal cross-hatching. A dimension line with arrows and the label L marks the length of the bottom-front edge of the cube. No other labels, text, field lines, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785830559-FvIbU5.jpg)

- **A.** \(\dfrac{q}{6\varepsilon_0}\)
- **B.** \(\dfrac{q}{8\varepsilon_0}\)
- **C.** \(\dfrac{q}{12\varepsilon_0}\)
- **D.** \(\dfrac{q}{24\varepsilon_0}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117945/*