---
title: "A flat, rigid circular loop of radius \\(R\\) carries a steady current \\(I\\) in the counterclockwise direction when viewed from above the \\(xy\\)-plane. The loop lies entirely in the \\(xy\\)-plane, centered at the origin. A uniform magnetic field \\(\\vec{B} = B_0 \\hat{i} + 2B_0 \\hat{j} – 3B_0 \\hat{k}\\) is present throughout the region. What is the magnitude of the net magnetic torque exerted on the loop?"
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url: "https://nerd-notes.com/ubq/118625/"
date_modified: "2026-08-04T08:12:17+00:00"
---

# A flat, rigid circular loop of radius \(R\) carries a steady current \(I\) in the counterclockwise direction when viewed from above the \(xy\)-plane. The loop lies entirely in the \(xy\)-plane, centered at the origin. A uniform magnetic field \(\vec{B} = B_0 \hat{i} + 2B_0 \hat{j} – 3B_0 \hat{k}\) is present throughout the region. What is the magnitude of the net magnetic torque exerted on the loop?

A flat, rigid circular loop of radius \(R\) carries a steady current \(I\) in the counterclockwise direction when viewed from above the \(xy\)-plane. The loop lies entirely in the \(xy\)-plane, centered at the origin. A uniform magnetic field \(\vec{B} = B_0 \hat{i} + 2B_0 \hat{j} - 3B_0 \hat{k}\) is present throughout the region. What is the magnitude of the net magnetic torque exerted on the loop?

![A three-dimensional Cartesian coordinate system with origin at the center. The x-axis extends down and to the left, the y-axis extends to the right, and the z-axis extends vertically upward. A flat circular loop of radius R lies in the xy-plane centered at the origin. Curved arrows along the circular loop indicate a counterclockwise current I when viewed from above the xy-plane. A straight vector arrow labeled B starts near the origin and points into the first octant with positive x and y components and a negative z component. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785831137-emtO96.jpg)

- **A.** \(2 \pi I R^2 B_0\)
- **B.** \(\sqrt{5} \pi I R^2 B_0\)
- **C.** \(3 \pi I R^2 B_0\)
- **D.** \(\sqrt{14} \pi I R^2 B_0\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118625/*