---
title: "A flat, rectangular wire loop of width \\(w\\) and length \\(L\\) is placed in a uniform magnetic field of magnitude \\(B\\). The magnetic field vector makes an angle \\(\\theta\\) with the plane of the loop, where \\(0 < \\theta < \\dfrac{\\pi}{2}\\). Which of the following expressions represents the magnitude of the magnetic flux \\(\\Phi_B\\) through the loop?"
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url: "https://nerd-notes.com/ubq/118652/"
date_modified: "2026-08-04T08:13:30+00:00"
---

# A flat, rectangular wire loop of width \(w\) and length \(L\) is placed in a uniform magnetic field of magnitude \(B\). The magnetic field vector makes an angle \(\theta\) with the plane of the loop, where \(0 < \theta < \dfrac{\pi}{2}\). Which of the following expressions represents the magnitude of the magnetic flux \(\Phi_B\) through the loop?

A flat, rectangular wire loop of width \(w\) and length \(L\) is placed in a uniform magnetic field of magnitude \(B\). The magnetic field vector makes an angle \(\theta\) with the plane of the loop, where \(0 < \theta < \dfrac{\pi}{2}\). Which of the following expressions represents the magnitude of the magnetic flux \(\Phi_B\) through the loop?

![A perspective diagram showing a rectangular wire loop lying in a horizontal plane with width w and length L. A vertical dashed line labeled n-hat rises straight upward perpendicular to the loop plane. Parallel magnetic field vectors labeled B point upward and rightward, making an angle theta with the horizontal loop surface. An arc labeled theta marks the angle between the magnetic field vector B and the loop plane. No other labels, lines, or text appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785831210-4vtrtw.jpg)

- **A.** \(B w L \sin\theta\)
- **B.** \(B w L \cos\theta\)
- **C.** \(B w L \tan\theta\)
- **D.** \(\dfrac{B w L}{\sin\theta}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118652/*