---
title: "A long, straight wire lies in the plane of the page and carries a steady current \\(I_1\\) to the right. A coplanar rectangular wire loop with length \\(L\\) and width \\(w\\) lies below the straight wire, with its top edge of length \\(L\\) parallel to the straight wire and located at a distance \\(d\\) from it. The loop carries a steady counterclockwise current \\(I_2\\). In terms of \\(I_1\\), \\(I_2\\), \\(L\\), \\(w\\), \\(d\\), and fundamental constants, what is the magnitude of the net magnetic force exerted on the loop by the magnetic field of the straight wire?"
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url: "https://nerd-notes.com/ubq/117409/"
date_modified: "2026-08-04T06:52:05+00:00"
---

# A long, straight wire lies in the plane of the page and carries a steady current \(I_1\) to the right. A coplanar rectangular wire loop with length \(L\) and width \(w\) lies below the straight wire, with its top edge of length \(L\) parallel to the straight wire and located at a distance \(d\) from it. The loop carries a steady counterclockwise current \(I_2\). In terms of \(I_1\), \(I_2\), \(L\), \(w\), \(d\), and fundamental constants, what is the magnitude of the net magnetic force exerted on the loop by the magnetic field of the straight wire?

A long, straight wire lies in the plane of the page and carries a steady current \(I_1\) to the right. A coplanar rectangular wire loop with length \(L\) and width \(w\) lies below the straight wire, with its top edge of length \(L\) parallel to the straight wire and located at a distance \(d\) from it. The loop carries a steady counterclockwise current \(I_2\). In terms of \(I_1\), \(I_2\), \(L\), \(w\), \(d\), and fundamental constants, what is the magnitude of the net magnetic force exerted on the loop by the magnetic field of the straight wire?

![A long horizontal wire carries a current I_1 to the right. Below the wire, a rectangular wire loop of width w and length L is shown in the same plane. The top edge of length L is horizontal and separated from the long wire by a vertical distance d. The loop carries a counterclockwise current I_2, indicated by small arrows along its edges. The width w extends vertically downward from the top edge. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785826324-xvX8TN.jpg)

- **A.** \(\dfrac{\mu_0 I_1 I_2 L}{2\pi d}\)
- **B.** \(\dfrac{\mu_0 I_1 I_2 L w}{2\pi d^2}\)
- **C.** \(\dfrac{\mu_0 I_1 I_2 L w}{2\pi d(d+w)}\)
- **D.** \(\dfrac{\mu_0 I_1 I_2 L (2d+w)}{2\pi d(d+w)}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117409/*