---
title: "Three planar, rectangular loops of wire—labeled Loop 1, Loop 2, and Loop 3—each carry a constant current \\(I\\) in the counterclockwise direction. The loops are placed in the same plane as a long, straight wire carrying a constant current \\(I_0\\), with the left edge of each loop located at a distance \\(d\\) from the straight wire. Loop 1 has height \\(L\\) and width \\(w\\), Loop 2 has height \\(2L\\) and width \\(w\\), and Loop 3 has height \\(L\\) and width \\(2w\\). Which of the following correctly ranks the magnitude of the net magnetic force \\(F_1\\), \\(F_2\\), and \\(F_3\\) exerted on each loop by the magnetic field of the long wire?"
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url: "https://nerd-notes.com/ubq/116425/"
date_modified: "2026-08-03T12:23:53+00:00"
---

# Three planar, rectangular loops of wire—labeled Loop 1, Loop 2, and Loop 3—each carry a constant current \(I\) in the counterclockwise direction. The loops are placed in the same plane as a long, straight wire carrying a constant current \(I_0\), with the left edge of each loop located at a distance \(d\) from the straight wire. Loop 1 has height \(L\) and width \(w\), Loop 2 has height \(2L\) and width \(w\), and Loop 3 has height \(L\) and width \(2w\). Which of the following correctly ranks the magnitude of the net magnetic force \(F_1\), \(F_2\), and \(F_3\) exerted on each loop by the magnetic field of the long wire?

Three planar, rectangular loops of wire—labeled Loop 1, Loop 2, and Loop 3—each carry a constant current \(I\) in the counterclockwise direction. The loops are placed in the same plane as a long, straight wire carrying a constant current \(I_0\), with the left edge of each loop located at a distance \(d\) from the straight wire. Loop 1 has height \(L\) and width \(w\), Loop 2 has height \(2L\) and width \(w\), and Loop 3 has height \(L\) and width \(2w\). Which of the following correctly ranks the magnitude of the net magnetic force \(F_1\), \(F_2\), and \(F_3\) exerted on each loop by the magnetic field of the long wire?

![A long vertical black line representing a current wire extends from top to bottom, with an arrowhead at its top end pointing upward, labeled \(I_0\). To the right of the line are three separate rectangular wire loops aligned side-by-side. The leftmost loop, labeled Loop 1, has vertical height \(L\) and horizontal width \(w\). The middle loop, labeled Loop 2, has vertical height \(2L\) and horizontal width \(w\). The rightmost loop, labeled Loop 3, has vertical height \(L\) and horizontal width \(2w\). The left vertical edge of each of the three loops is separated from the vertical line by a horizontal dashed line segment of equal length labeled \(d\). Each loop contains four small directional arrows along its sides pointing in a counterclockwise direction, and each loop is labeled with current \(I\). No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785759833-igadY5.jpg)

- **A.** \(F_1 = F_3 < F_2\)
- **B.** \(F_1 < F_3 < F_2\)
- **C.** \(F_3 < F_1 < F_2\)
- **D.** \(F_1 < F_2 = F_3\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/116425/*