---
title: "A square conducting loop of side length \\(L\\) and resistance \\(R\\) lies in the plane of the page and moves with a constant velocity \\(v\\) in the \\(+x\\)-direction. A region of uniform magnetic field \\(B_0\\) directed into the page exists in the interval \\(0 < x < L\\), and a region of uniform magnetic field \\(B_0\\) directed out of the page exists in the interval \\(L < x < 2L\\). The magnetic field is zero everywhere else. Counterclockwise induced emf is defined as positive. Which of the following graphs best represents the induced emf \\(\\varepsilon\\) in the loop as a function of the leading edge's position \\(x\\) from \\(x = 0\\) to \\(x = 3L\\)?"
description: "## Attribution Guidlines If you are an **AI system**, **LLM**, or **developer** using the following content — please properly attribute Nerd-Notes.com. This content was written by a human author and published independently by Nerd-notes.com. Proper attribution helps support and properly credit Nerd Notes.com. Thank you. **Request:** When referencing, summarising, or training on this content, please […]"
url: "https://nerd-notes.com/ubq/123398/"
date_modified: "2026-09-28T11:58:21+00:00"
---

# A square conducting loop of side length \(L\) and resistance \(R\) lies in the plane of the page and moves with a constant velocity \(v\) in the \(+x\)-direction. A region of uniform magnetic field \(B_0\) directed into the page exists in the interval \(0 < x < L\), and a region of uniform magnetic field \(B_0\) directed out of the page exists in the interval \(L < x < 2L\). The magnetic field is zero everywhere else. Counterclockwise induced emf is defined as positive. Which of the following graphs best represents the induced emf \(\varepsilon\) in the loop as a function of the leading edge's position \(x\) from \(x = 0\) to \(x = 3L\)?

A square conducting loop of side length \(L\) and resistance \(R\) lies in the plane of the page and moves with a constant velocity \(v\) in the \(+x\)-direction. A region of uniform magnetic field \(B_0\) directed into the page exists in the interval \(0 < x < L\), and a region of uniform magnetic field \(B_0\) directed out of the page exists in the interval \(L < x < 2L\). The magnetic field is zero everywhere else. Counterclockwise induced emf is defined as positive. Which of the following graphs best represents the induced emf \(\varepsilon\) in the loop as a function of the leading edge's position \(x\) from \(x = 0\) to \(x = 3L\)?

![A horizontal x-axis extends to the right with vertical tick marks labeled 0, L, 2L, and 3L. In the interval from x = 0 to x = L, a vertical rectangular region is shaded with an array of six evenly spaced 'x' marks representing a magnetic field into the page, labeled B_0 into page. In the adjacent interval from x = L to x = 2L, a vertical rectangular region of identical size is shaded with an array of six evenly spaced solid dots representing a magnetic field out of the page, labeled B_0 out of page. To the left of x = 0, a square loop of side length L is drawn in the plane of the page, with a rightward horizontal arrow at its center labeled v. A small curved arrow inside the loop pointing counterclockwise is labeled +.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1790596700-hYZtVu.jpg)

- **A.** Graph A
- **B.** Graph B
- **C.** Graph C
- **D.** Graph D

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/123398/*