---
title: "A thin, rigid wire is bent into the shape of a regular hexagon with side length \\(a\\) and carries a steady current \\(I\\). Which of the following expressions represents the magnitude of the magnetic field at the center of the hexagon?"
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url: "https://nerd-notes.com/ubq/118594/"
date_modified: "2026-08-04T08:11:33+00:00"
---

# A thin, rigid wire is bent into the shape of a regular hexagon with side length \(a\) and carries a steady current \(I\). Which of the following expressions represents the magnitude of the magnetic field at the center of the hexagon?

A thin, rigid wire is bent into the shape of a regular hexagon with side length \(a\) and carries a steady current \(I\). Which of the following expressions represents the magnitude of the magnetic field at the center of the hexagon?

![A regular planar hexagon with side length labeled a is centered at point O. Arrows drawn along each of the six straight wire sides indicate a continuous counterclockwise current I flowing around the loop. A dashed line segment extends from central point O perpendicularly to the midpoint of the lower horizontal wire segment, labeled with the distance d. At the point where the dashed line meets the midpoint of the wire segment, a small square right-angle symbol is shown. The angle subtended between the dashed line and the line from point O to one vertex of that side is labeled \theta. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785831092-OYMW58.jpg)

- **A.** \(\dfrac{\mu_0 I}{2\pi a}\)
- **B.** \(\dfrac{3\mu_0 I}{\pi a}\)
- **C.** \(\dfrac{3\sqrt{3}\mu_0 I}{2\pi a}\)
- **D.** \(\dfrac{\sqrt{3}\mu_0 I}{\pi a}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118594/*