---
title: "Three isolated, thin circular wire arcs carry steady currents as described in the table. Each arc is centered at its respective center of curvature.  | Arc | Radius | Current | Subtended Angle | |—|—|—|—| | 1 | \\(R\\) | \\(I\\) | \\(\\pi\\text{ rad}\\) | | 2 | \\(2R\\) | \\(2I\\) | \\(\\dfrac{\\pi}{2}\\text{ rad}\\) | | 3 | \\(R\\) | \\(3I\\) | \\(\\dfrac{\\pi}{2}\\text{ rad}\\) |  Which of the following correctly ranks the magnitude of the magnetic field \\(B\\) produced at the center of curvature of each arc?"
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url: "https://nerd-notes.com/ubq/121198/"
date_modified: "2026-08-23T04:58:45+00:00"
---

# Three isolated, thin circular wire arcs carry steady currents as described in the table. Each arc is centered at its respective center of curvature.

| Arc | Radius | Current | Subtended Angle |
|—|—|—|—|
| 1 | \(R\) | \(I\) | \(\pi\text{ rad}\) |
| 2 | \(2R\) | \(2I\) | \(\dfrac{\pi}{2}\text{ rad}\) |
| 3 | \(R\) | \(3I\) | \(\dfrac{\pi}{2}\text{ rad}\) |

Which of the following correctly ranks the magnitude of the magnetic field \(B\) produced at the center of curvature of each arc?

Three isolated, thin circular wire arcs carry steady currents as described in the table. Each arc is centered at its respective center of curvature.

| Arc | Radius | Current | Subtended Angle |
|---|---|---|---|
| 1 | \(R\) | \(I\) | \(\pi\text{ rad}\) |
| 2 | \(2R\) | \(2I\) | \(\dfrac{\pi}{2}\text{ rad}\) |
| 3 | \(R\) | \(3I\) | \(\dfrac{\pi}{2}\text{ rad}\) |

Which of the following correctly ranks the magnitude of the magnetic field \(B\) produced at the center of curvature of each arc?

- **A.** \(B_1 > B_3 > B_2\)
- **B.** \(B_2 > B_3 > B_1\)
- **C.** \(B_3 > B_2 > B_1\)
- **D.** \(B_3 > B_1 > B_2\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121198/*