---
title: "A conducting loop is fixed in a region with a magnetic field directed perpendicular to the plane of the loop. The induced electromotive force (EMF) \\(\\mathcal{E}\\) in the loop is measured as a function of time \\(t\\) and is shown in the graph. At time \\(t = 0\\), the magnetic flux through the loop is zero (\\(\\Phi_B = 0\\)). Which of the following graphs best represents the magnetic flux \\(\\Phi_B\\) through the loop as a function of time \\(t\\)?"
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url: "https://nerd-notes.com/ubq/118779/"
date_modified: "2026-08-04T08:14:49+00:00"
---

# A conducting loop is fixed in a region with a magnetic field directed perpendicular to the plane of the loop. The induced electromotive force (EMF) \(\mathcal{E}\) in the loop is measured as a function of time \(t\) and is shown in the graph. At time \(t = 0\), the magnetic flux through the loop is zero (\(\Phi_B = 0\)). Which of the following graphs best represents the magnetic flux \(\Phi_B\) through the loop as a function of time \(t\)?

A conducting loop is fixed in a region with a magnetic field directed perpendicular to the plane of the loop. The induced electromotive force (EMF) \(\mathcal{E}\) in the loop is measured as a function of time \(t\) and is shown in the graph. At time \(t = 0\), the magnetic flux through the loop is zero (\(\Phi_B = 0\)). Which of the following graphs best represents the magnetic flux \(\Phi_B\) through the loop as a function of time \(t\)?

![A Cartesian graph plotting induced EMF \mathcal{E} on the vertical axis against time t on the horizontal axis. The vertical axis is labeled \mathcal{E} at the top and has tick marks at \mathcal{E}_0, 0, and -\mathcal{E}_0. The horizontal axis is labeled t at the far right and has tick marks at 0, T, 2T, and 3T. From t = 0 to t = T, a horizontal solid line segment lies at \mathcal{E} = -\mathcal{E}_0. From t = T to t = 2T, a horizontal solid line segment lies along the horizontal axis at \mathcal{E} = 0. From t = 2T to t = 3T, a horizontal solid line segment lies at \mathcal{E} = +\mathcal{E}_0. Vertical dashed line segments connect (T, -\mathcal{E}_0) to (T, 0) and (2T, 0) to (2T, \mathcal{E}_0). No other labels or lines appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785831287-LPbq1S.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/118779/*