---
title: "Five identical point charges, each with charge \\(q = +3.0 \\text{ }\\mu\\text{C}\\), are held fixed at five of the six vertices of a regular hexagon in a vacuum. The distance from each vertex to the center of the hexagon is \\(d = 0.30 \\text{ m}\\). What is the magnitude of the net electric field at the center of the hexagon?"
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url: "https://nerd-notes.com/ubq/124537/"
date_modified: "2026-09-28T14:08:34+00:00"
---

# Five identical point charges, each with charge \(q = +3.0 \text{ }\mu\text{C}\), are held fixed at five of the six vertices of a regular hexagon in a vacuum. The distance from each vertex to the center of the hexagon is \(d = 0.30 \text{ m}\). What is the magnitude of the net electric field at the center of the hexagon?

Five identical point charges, each with charge \(q = +3.0 \text{ }\mu\text{C}\), are held fixed at five of the six vertices of a regular hexagon in a vacuum. The distance from each vertex to the center of the hexagon is \(d = 0.30 \text{ m}\). What is the magnitude of the net electric field at the center of the hexagon?

![A regular hexagon oriented with horizontal top and bottom edges. Five of the six vertices feature identical solid black circular dots, each labeled with the text +q positioned just outside the perimeter. The top-right vertex is an open dashed circle indicating an empty position. At the geometric center of the hexagon is a small central point labeled O. A thin dashed straight line segment connects the center point O to the bottom-left vertex, with a lowercase d beside it to indicate the distance from the center to a vertex. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1790604514-nDqWWk.jpg)

- **A.** \(7.5 \times 10^4 \text{ N/C}\)
- **B.** \(1.5 \times 10^5 \text{ N/C}\)
- **C.** \(3.0 \times 10^5 \text{ N/C}\)
- **D.** \(1.5 \times 10^6 \text{ N/C}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/124537/*