---
title: "In a magnetism experiment, two single-turn planar loops—a square loop of side length \\(s\\) and a circular loop of radius \\(R\\)—are constructed such that both loops enclose the exact same surface area \\(A\\). Each loop carries the same steady electric current \\(I\\) and is placed in a region of uniform magnetic field \\( vec{B}\\). The orientation of each loop is varied to find the maximum magnetic torque exerted on it. Which of the following correctly compares the magnitude of the magnetic dipole moment \\(\\mu\\) and the maximum magnetic torque \\(\\tau_{\\text{max}}\\n\\) experienced by the two loops?"
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url: "https://nerd-notes.com/ubq/118546/"
date_modified: "2026-08-04T08:11:17+00:00"
---

# In a magnetism experiment, two single-turn planar loops—a square loop of side length \(s\) and a circular loop of radius \(R\)—are constructed such that both loops enclose the exact same surface area \(A\). Each loop carries the same steady electric current \(I\) and is placed in a region of uniform magnetic field \(
vec{B}\). The orientation of each loop is varied to find the maximum magnetic torque exerted on it. Which of the following correctly compares the magnitude of the magnetic dipole moment \(\mu\) and the maximum magnetic torque \(\tau_{\text{max}}\n\) experienced by the two loops?

In a magnetism experiment, two single-turn planar loops—a square loop of side length \(s\) and a circular loop of radius \(R\)—are constructed such that both loops enclose the exact same surface area \(A\). Each loop carries the same steady electric current \(I\) and is placed in a region of uniform magnetic field \(
vec{B}\). The orientation of each loop is varied to find the maximum magnetic torque exerted on it. Which of the following correctly compares the magnitude of the magnetic dipole moment \(\mu\) and the maximum magnetic torque \(\tau_{\text{max}}\n\) experienced by the two loops?

- **A.** Magnetic Dipole Moment: \(\mu_{\text{square}} < \mu_{\text{circle}}\) Maximum Torque: \(\tau_{\text{max, square}} < \tau_{\text{max, circle}}\)
- **B.** Magnetic Dipole Moment: \(\mu_{\text{square}} < \mu_{\text{circle}}\) Maximum Torque: \(\tau_{\text{max, square}} = \tau_{\text{max, circle}}\)
- **C.** Magnetic Dipole Moment: \(\mu_{\text{square}} = \mu_{\text{circle}}\) Maximum Torque: \(\tau_{\text{max, square}} < \tau_{\text{max, circle}}\)
- **D.** Magnetic Dipole Moment: \(\mu_{\text{square}} = \mu_{\text{circle}}\) Maximum Torque: \(\tau_{\text{max, square}} = \tau_{\text{max, circle}}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118546/*