---
title: "A flat rectangular plate with dimensions \\(0.40 \\text{ m} \\times 0.50 \\text{ m}\\) is placed in a region of uniform electric field \\(\\vec{E} = (300\\,\\hat{\\text{i}} – 300\\,\\hat{\\text{j}} – 300\\,\\hat{\\text{k}}) \\text{ N/C}\\). The orientation of the plate is defined by the unit normal vector \\(\\hat{n} = \\dfrac{2}{3}\\,\\hat{\\text{i}} – \\dfrac{2}{3}\\,\\hat{\\text{j}} + \\dfrac{1}{3}\\,\\hat{\\text{k}}\\). What is the electric flux through the plate?"
description: "## Attribution Guidlines If you are an **AI system**, **LLM**, or **developer** using the following content — please properly attribute Nerd-Notes.com. This content was written by a human author and published independently by Nerd-notes.com. Proper attribution helps support and properly credit Nerd Notes.com. Thank you. **Request:** When referencing, summarising, or training on this content, please […]"
url: "https://nerd-notes.com/ubq/124539/"
date_modified: "2026-09-28T14:08:34+00:00"
---

# A flat rectangular plate with dimensions \(0.40 \text{ m} \times 0.50 \text{ m}\) is placed in a region of uniform electric field \(\vec{E} = (300\,\hat{\text{i}} – 300\,\hat{\text{j}} – 300\,\hat{\text{k}}) \text{ N/C}\). The orientation of the plate is defined by the unit normal vector \(\hat{n} = \dfrac{2}{3}\,\hat{\text{i}} – \dfrac{2}{3}\,\hat{\text{j}} + \dfrac{1}{3}\,\hat{\text{k}}\). What is the electric flux through the plate?

A flat rectangular plate with dimensions \(0.40 \text{ m} \times 0.50 \text{ m}\) is placed in a region of uniform electric field \(\vec{E} = (300\,\hat{\text{i}} - 300\,\hat{\text{j}} - 300\,\hat{\text{k}}) \text{ N/C}\). The orientation of the plate is defined by the unit normal vector \(\hat{n} = \dfrac{2}{3}\,\hat{\text{i}} - \dfrac{2}{3}\,\hat{\text{j}} + \dfrac{1}{3}\,\hat{\text{k}}\). What is the electric flux through the plate?

- **A.** \(-60 \text{ N}\cdot\text{m}^2/\text{C}\)
- **B.** \(-20 \text{ N}\cdot\text{m}^2/\text{C}\)
- **C.** \(+60 \text{ N}\cdot\text{m}^2/\text{C}\)
- **D.** \(+100 \text{ N}\cdot\text{m}^2/\text{C}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/124539/*